From f0e0806fd9463c84fa009268aed29313fcd96fc7 Mon Sep 17 00:00:00 2001 From: Paul Romano Date: Fri, 18 Jun 2021 15:40:30 +0700 Subject: [PATCH] Remove Jupyter notebooks from documentation --- .gitignore | 15 - MANIFEST.in | 2 +- docs/requirements-rtd.txt | 1 - docs/source/conf.py | 1 - docs/source/examples/cad-based-geometry.ipynb | 1 - docs/source/examples/candu.ipynb | 1 - docs/source/examples/capi.ipynb | 1 - docs/source/examples/expansion-filters.ipynb | 1 - docs/source/examples/hexagonal-lattice.ipynb | 1 - docs/source/examples/index.rst | 73 - docs/source/examples/mdgxs-part-i.ipynb | 1 - docs/source/examples/mdgxs-part-ii.ipynb | 1 - docs/source/examples/mg-mode-part-i.ipynb | 1 - docs/source/examples/mg-mode-part-ii.ipynb | 1 - docs/source/examples/mg-mode-part-iii.ipynb | 1 - docs/source/examples/mgxs-part-i.ipynb | 1 - docs/source/examples/mgxs-part-ii.ipynb | 1 - docs/source/examples/mgxs-part-iii.ipynb | 1 - .../nuclear-data-resonance-covariance.ipynb | 1 - docs/source/examples/nuclear-data.ipynb | 1 - docs/source/examples/pandas-dataframes.ipynb | 1 - docs/source/examples/pincell.ipynb | 1 - docs/source/examples/pincell_depletion.ipynb | 1 - docs/source/examples/post-processing.ipynb | 1 - docs/source/examples/search.ipynb | 1 - docs/source/examples/tally-arithmetic.ipynb | 1 - docs/source/examples/triso.ipynb | 1 - .../examples/unstructured-mesh-part-i.ipynb | 1 - .../examples/unstructured-mesh-part-ii.ipynb | 1 - docs/source/index.rst | 2 +- examples/jupyter/c5g7.h5 | Bin 59512 -> 0 bytes examples/jupyter/cad-based-geometry.ipynb | 780 ----- examples/jupyter/candu.ipynb | 1110 ------- examples/jupyter/capi.ipynb | 475 --- examples/jupyter/chain_simple.xml | 1 - examples/jupyter/expansion-filters.ipynb | 1548 ---------- examples/jupyter/hexagonal-lattice.ipynb | 411 --- examples/jupyter/images/cylinder_mesh.png | Bin 9928 -> 0 bytes examples/jupyter/images/flux3d.png | Bin 100719 -> 0 bytes examples/jupyter/images/manifold-cad.png | Bin 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1684 ---------- .../nuclear-data-resonance-covariance.ipynb | 963 ------ examples/jupyter/nuclear-data.ipynb | 1504 --------- examples/jupyter/pandas-dataframes.ipynb | 2721 ---------------- examples/jupyter/pincell.ipynb | 1583 ---------- examples/jupyter/pincell_depletion.ipynb | 997 ------ examples/jupyter/post-processing.ipynb | 992 ------ examples/jupyter/search.ipynb | 234 -- examples/jupyter/tally-arithmetic.ipynb | 1768 ----------- examples/jupyter/triso.ipynb | 366 --- .../jupyter/unstructured-mesh-part-i.ipynb | 737 ----- .../jupyter/unstructured-mesh-part-ii.ipynb | 647 ---- setup.py | 3 +- 69 files changed, 3 insertions(+), 28955 deletions(-) delete mode 120000 docs/source/examples/cad-based-geometry.ipynb delete mode 120000 docs/source/examples/candu.ipynb delete mode 120000 docs/source/examples/capi.ipynb delete mode 120000 docs/source/examples/expansion-filters.ipynb delete mode 120000 docs/source/examples/hexagonal-lattice.ipynb delete mode 100644 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examples/jupyter/pincell.ipynb delete mode 100644 examples/jupyter/pincell_depletion.ipynb delete mode 100644 examples/jupyter/post-processing.ipynb delete mode 100644 examples/jupyter/search.ipynb delete mode 100644 examples/jupyter/tally-arithmetic.ipynb delete mode 100644 examples/jupyter/triso.ipynb delete mode 100644 examples/jupyter/unstructured-mesh-part-i.ipynb delete mode 100644 examples/jupyter/unstructured-mesh-part-ii.ipynb diff --git a/.gitignore b/.gitignore index c8d4d7140..f328d7b9a 100644 --- a/.gitignore +++ b/.gitignore @@ -1,7 +1,6 @@ # Compiled objects and modules *.a *.o -*.mod *.log *.out @@ -35,9 +34,6 @@ build # build from src/utils/setup.py src/utils/build -# xml-fortran reader -src/xml-fortran/xmlreader - # Test results error file results_error.dat inputs_error.dat @@ -79,17 +75,6 @@ scripts/G4EMLOW*/ # IPython notebook checkpoints .ipynb_checkpoints -# Jupyter notebooks -examples/jupyter/*.xml -examples/jupyter/*.png -examples/jupyter/*.xls -examples/jupyter/*.ace -examples/jupyter/*.endf -examples/jupyter/mgxs -examples/jupyter/tracks -examples/jupyter/fission-rates -examples/jupyter/plots - # Cython files *.c *.html diff --git a/MANIFEST.in b/MANIFEST.in index 795bfcf23..e660a1161 100644 --- a/MANIFEST.in +++ b/MANIFEST.in @@ -21,8 +21,8 @@ recursive-include docs *.tex recursive-include docs *.txt recursive-include docs Makefile recursive-include examples *.h5 -recursive-include examples *.ipynb recursive-include examples *.png +recursive-include examples *.cpp recursive-include examples *.py recursive-include examples *.xml recursive-include include *.h diff --git a/docs/requirements-rtd.txt b/docs/requirements-rtd.txt index fd76dfffb..bf75537a8 100644 --- a/docs/requirements-rtd.txt +++ b/docs/requirements-rtd.txt @@ -2,7 +2,6 @@ sphinx-numfig jupyter sphinxcontrib-katex sphinxcontrib-svg2pdfconverter -nbsphinx numpy scipy h5py diff --git a/docs/source/conf.py b/docs/source/conf.py index ed790a2e2..5847af13b 100644 --- a/docs/source/conf.py +++ b/docs/source/conf.py @@ -44,7 +44,6 @@ extensions = [ 'sphinx.ext.viewcode', 'sphinxcontrib.katex', 'sphinx_numfig', - 'nbsphinx' ] if not on_rtd: extensions.append('sphinxcontrib.rsvgconverter') diff --git a/docs/source/examples/cad-based-geometry.ipynb b/docs/source/examples/cad-based-geometry.ipynb deleted file mode 120000 index ee3727e67..000000000 --- a/docs/source/examples/cad-based-geometry.ipynb +++ /dev/null @@ -1 +0,0 @@ -../../../examples/jupyter/cad-based-geometry.ipynb \ No newline at end of file diff --git a/docs/source/examples/candu.ipynb b/docs/source/examples/candu.ipynb deleted file mode 120000 index 480d99fb1..000000000 --- a/docs/source/examples/candu.ipynb +++ /dev/null @@ -1 +0,0 @@ -../../../examples/jupyter/candu.ipynb \ No newline at end of file diff --git a/docs/source/examples/capi.ipynb b/docs/source/examples/capi.ipynb deleted file mode 120000 index f69a37093..000000000 --- a/docs/source/examples/capi.ipynb +++ /dev/null @@ -1 +0,0 @@ -../../../examples/jupyter/capi.ipynb \ No newline at end of file diff --git a/docs/source/examples/expansion-filters.ipynb b/docs/source/examples/expansion-filters.ipynb deleted file mode 120000 index e75734135..000000000 --- a/docs/source/examples/expansion-filters.ipynb +++ /dev/null @@ -1 +0,0 @@ -../../../examples/jupyter/expansion-filters.ipynb \ No newline at end of file diff --git a/docs/source/examples/hexagonal-lattice.ipynb b/docs/source/examples/hexagonal-lattice.ipynb deleted file mode 120000 index e2b63d243..000000000 --- a/docs/source/examples/hexagonal-lattice.ipynb +++ /dev/null @@ -1 +0,0 @@ -../../../examples/jupyter/hexagonal-lattice.ipynb \ No newline at end of file diff --git a/docs/source/examples/index.rst b/docs/source/examples/index.rst deleted file mode 100644 index 38bc51e26..000000000 --- a/docs/source/examples/index.rst +++ /dev/null @@ -1,73 +0,0 @@ -.. _examples: - -======== -Examples -======== - -The following series of `Jupyter `_ Notebooks provide -examples for how to use various features of OpenMC by leveraging the -:ref:`pythonapi`. - -------------- -General Usage -------------- - -.. toctree:: - :maxdepth: 1 - - pincell - post-processing - pandas-dataframes - tally-arithmetic - capi - expansion-filters - search - nuclear-data - nuclear-data-resonance-covariance - pincell_depletion - --------- -Geometry --------- - -.. toctree:: - :maxdepth: 1 - - hexagonal-lattice - triso - candu - cad-based-geometry - ------------------------------------ -Multigroup Cross Section Generation ------------------------------------ - -.. toctree:: - :maxdepth: 1 - - mgxs-part-i - mgxs-part-ii - mgxs-part-iii - mdgxs-part-i - mdgxs-part-ii - ---------------- -Multigroup Mode ---------------- - -.. toctree:: - :maxdepth: 1 - - mg-mode-part-i - mg-mode-part-ii - mg-mode-part-iii - ------------------ -Unstructured Mesh ------------------ - -.. toctree:: - :maxdepth: 1 - - unstructured-mesh-part-i - unstructured-mesh-part-ii diff --git a/docs/source/examples/mdgxs-part-i.ipynb b/docs/source/examples/mdgxs-part-i.ipynb deleted file mode 120000 index 01eb1172d..000000000 --- a/docs/source/examples/mdgxs-part-i.ipynb +++ /dev/null @@ -1 +0,0 @@ -../../../examples/jupyter/mdgxs-part-i.ipynb \ No newline at end of file diff --git a/docs/source/examples/mdgxs-part-ii.ipynb b/docs/source/examples/mdgxs-part-ii.ipynb deleted file mode 120000 index 2d9d33907..000000000 --- a/docs/source/examples/mdgxs-part-ii.ipynb +++ /dev/null @@ -1 +0,0 @@ -../../../examples/jupyter/mdgxs-part-ii.ipynb \ No newline at end of file diff --git a/docs/source/examples/mg-mode-part-i.ipynb b/docs/source/examples/mg-mode-part-i.ipynb deleted file mode 120000 index d1577f700..000000000 --- a/docs/source/examples/mg-mode-part-i.ipynb +++ /dev/null @@ -1 +0,0 @@ -../../../examples/jupyter/mg-mode-part-i.ipynb \ No newline at end of file diff --git a/docs/source/examples/mg-mode-part-ii.ipynb b/docs/source/examples/mg-mode-part-ii.ipynb deleted file mode 120000 index a09306376..000000000 --- a/docs/source/examples/mg-mode-part-ii.ipynb +++ /dev/null @@ -1 +0,0 @@ -../../../examples/jupyter/mg-mode-part-ii.ipynb \ No newline at end of file diff --git a/docs/source/examples/mg-mode-part-iii.ipynb b/docs/source/examples/mg-mode-part-iii.ipynb deleted file mode 120000 index 6fa0d180e..000000000 --- a/docs/source/examples/mg-mode-part-iii.ipynb +++ /dev/null @@ -1 +0,0 @@ -../../../examples/jupyter/mg-mode-part-iii.ipynb \ No newline at end of file diff --git a/docs/source/examples/mgxs-part-i.ipynb b/docs/source/examples/mgxs-part-i.ipynb deleted file mode 120000 index a04b1da89..000000000 --- a/docs/source/examples/mgxs-part-i.ipynb +++ /dev/null @@ -1 +0,0 @@ -../../../examples/jupyter/mgxs-part-i.ipynb \ No newline at end of file diff --git a/docs/source/examples/mgxs-part-ii.ipynb b/docs/source/examples/mgxs-part-ii.ipynb deleted file mode 120000 index dd8af3c43..000000000 --- a/docs/source/examples/mgxs-part-ii.ipynb +++ /dev/null @@ -1 +0,0 @@ -../../../examples/jupyter/mgxs-part-ii.ipynb \ No newline at end of file diff --git a/docs/source/examples/mgxs-part-iii.ipynb b/docs/source/examples/mgxs-part-iii.ipynb deleted file mode 120000 index d6acc76ba..000000000 --- a/docs/source/examples/mgxs-part-iii.ipynb +++ /dev/null @@ -1 +0,0 @@ -../../../examples/jupyter/mgxs-part-iii.ipynb \ No newline at end of file diff --git a/docs/source/examples/nuclear-data-resonance-covariance.ipynb b/docs/source/examples/nuclear-data-resonance-covariance.ipynb deleted file mode 120000 index 0ab0dd62b..000000000 --- a/docs/source/examples/nuclear-data-resonance-covariance.ipynb +++ /dev/null @@ -1 +0,0 @@ -../../../examples/jupyter/nuclear-data-resonance-covariance.ipynb \ No newline at end of file diff --git a/docs/source/examples/nuclear-data.ipynb b/docs/source/examples/nuclear-data.ipynb deleted file mode 120000 index 59721abdc..000000000 --- a/docs/source/examples/nuclear-data.ipynb +++ /dev/null @@ -1 +0,0 @@ -../../../examples/jupyter/nuclear-data.ipynb \ No newline at end of file diff --git a/docs/source/examples/pandas-dataframes.ipynb b/docs/source/examples/pandas-dataframes.ipynb deleted file mode 120000 index f41f570be..000000000 --- a/docs/source/examples/pandas-dataframes.ipynb +++ /dev/null @@ -1 +0,0 @@ -../../../examples/jupyter/pandas-dataframes.ipynb \ No newline at end of file diff --git a/docs/source/examples/pincell.ipynb b/docs/source/examples/pincell.ipynb deleted file mode 120000 index edbbb8de2..000000000 --- a/docs/source/examples/pincell.ipynb +++ /dev/null @@ -1 +0,0 @@ -../../../examples/jupyter/pincell.ipynb \ No newline at end of file diff --git a/docs/source/examples/pincell_depletion.ipynb b/docs/source/examples/pincell_depletion.ipynb deleted file mode 120000 index 1f25930fc..000000000 --- a/docs/source/examples/pincell_depletion.ipynb +++ /dev/null @@ -1 +0,0 @@ -../../../examples/jupyter/pincell_depletion.ipynb \ No newline at end of file diff --git a/docs/source/examples/post-processing.ipynb b/docs/source/examples/post-processing.ipynb deleted file mode 120000 index 1f3f4cd71..000000000 --- a/docs/source/examples/post-processing.ipynb +++ /dev/null @@ -1 +0,0 @@ -../../../examples/jupyter/post-processing.ipynb \ No newline at end of file diff --git a/docs/source/examples/search.ipynb b/docs/source/examples/search.ipynb deleted file mode 120000 index fbfb67bc6..000000000 --- a/docs/source/examples/search.ipynb +++ /dev/null @@ -1 +0,0 @@ -../../../examples/jupyter/search.ipynb \ No newline at end of file diff --git a/docs/source/examples/tally-arithmetic.ipynb b/docs/source/examples/tally-arithmetic.ipynb deleted file mode 120000 index 7ffe19462..000000000 --- a/docs/source/examples/tally-arithmetic.ipynb +++ /dev/null @@ -1 +0,0 @@ -../../../examples/jupyter/tally-arithmetic.ipynb \ No newline at end of file diff --git a/docs/source/examples/triso.ipynb b/docs/source/examples/triso.ipynb deleted file mode 120000 index 0e51d8add..000000000 --- a/docs/source/examples/triso.ipynb +++ /dev/null @@ -1 +0,0 @@ -../../../examples/jupyter/triso.ipynb \ No newline at end of file diff --git a/docs/source/examples/unstructured-mesh-part-i.ipynb b/docs/source/examples/unstructured-mesh-part-i.ipynb deleted file mode 120000 index b1358788b..000000000 --- a/docs/source/examples/unstructured-mesh-part-i.ipynb +++ /dev/null @@ -1 +0,0 @@ -../../../examples/jupyter/unstructured-mesh-part-i.ipynb \ No newline at end of file diff --git a/docs/source/examples/unstructured-mesh-part-ii.ipynb b/docs/source/examples/unstructured-mesh-part-ii.ipynb deleted file mode 120000 index 9074811b7..000000000 --- a/docs/source/examples/unstructured-mesh-part-ii.ipynb +++ /dev/null @@ -1 +0,0 @@ -../../../examples/jupyter/unstructured-mesh-part-ii.ipynb \ No newline at end of file diff --git a/docs/source/index.rst b/docs/source/index.rst index 3b2f5b053..a01055374 100644 --- a/docs/source/index.rst +++ b/docs/source/index.rst @@ 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"metadata": {}, - "source": [ - "# Using CAD-Based Geometries\n", - "In this notebook we'll be exploring how to use CAD-based geometries in OpenMC via the [DagMC](https://svalinn.github.io/DAGMC/index.html) toolkit. The models we'll be using in this notebook have already been created using [Trelis](https://coreform.com/products/trelisnew/) and faceted into a surface mesh represented as `.h5m` files in the [Mesh Oriented DatABase](https://sigma.mcs.anl.gov/moab-library/) format. We'll be retrieving these files using the function below.\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "import urllib.request\n", - "\n", - "fuel_pin_url = 'https://tinyurl.com/y3ugwz6w' # 1.2 MB\n", - "teapot_url = 'https://tinyurl.com/y4mcmc3u' # 29 MB\n", - "\n", - "def download(url):\n", - " \"\"\"\n", - " Helper function for retrieving dagmc models\n", - " \"\"\"\n", - " u = urllib.request.urlopen(url)\n", - " \n", - " if u.status != 200:\n", - " raise RuntimeError(\"Failed to download file.\")\n", - " \n", - " # save file as dagmc.h5m\n", - " with open(\"dagmc.h5m\", 'wb') as f:\n", - " f.write(u.read())" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "This notebook is intended to demonstrate how DagMC problems are run in OpenMC. For more information on how DagMC models are created, please refer to the [DagMC User's Guide](https://svalinn.github.io/DAGMC/usersguide/index.html).\n" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "%matplotlib inline\n", - "from IPython.display import Image\n", - "import openmc" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "To start, we'll be using a simple U235 fuel pin surrounded by a water moderator, so let's create those materials." - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], - "source": [ - " # materials\n", - "u235 = openmc.Material(name=\"fuel\")\n", - "u235.add_nuclide('U235', 1.0, 'ao')\n", - "u235.set_density('g/cc', 11)\n", - "u235.id = 40\n", - "\n", - "water = openmc.Material(name=\"water\")\n", - "water.add_nuclide('H1', 2.0, 'ao')\n", - "water.add_nuclide('O16', 1.0, 'ao')\n", - "water.set_density('g/cc', 1.0)\n", - "water.add_s_alpha_beta('c_H_in_H2O')\n", - "water.id = 41\n", - "\n", - "mats = openmc.Materials([u235, water])\n", - "mats.export_to_xml()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now let's get our DAGMC geometry. We'll be using prefabricated models in this notebook. For information on how to create your own DAGMC models, you can refer to the instructions [here](https://svalinn.github.io/DAGMC/usersguide/trelis_workflow.html)." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Let's download the DAGMC model. These models come in the form of triangle surface meshes stored using the the Mesh Oriented datABase ([MOAB](https://sigma.mcs.anl.gov/moab-library/)) in an HDF5 file with the extension `.h5m`. An example of a coarse triangle mesh looks like:" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "" - ] - }, - "execution_count": 4, - "metadata": { - "image/png": { - "width": 350 - } - }, - "output_type": "execute_result" - } - ], - "source": [ - "Image(\"./images/cylinder_mesh.png\", width=350)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "First we'll need to grab some pre-made DagMC models." - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [], - "source": [ - "download(fuel_pin_url)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "To create a geometry where DAGMC represents the entire model, we'll make a DAGMC universe and use it as the root universe of the model." - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [], - "source": [ - "dagmc_univ = openmc.DAGMCUniverse(filename=\"dagmc.h5m\")\n", - "geometry = openmc.Geometry(root=dagmc_univ)\n", - "geometry.export_to_xml()" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [], - "source": [ - "settings = openmc.Settings()\n", - "settings.batches = 10\n", - "settings.inactive = 2\n", - "settings.particles = 5000\n", - "settings.export_to_xml()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Unlike conventional geometries in OpenMC, we really have no way of knowing what our model looks like at this point. Thankfully DagMC geometries can be plotted just like any other OpenMC geometry to give us an idea of what we're now working with.\n", - "\n", - "Note that material assignments have already been applied to this model. Materials can be assigned either using ids or names of materials in the `materials.xml` file. It is recommended that material names are used for assignment for readability." - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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\n", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "p = openmc.Plot()\n", - "p.width = (25.0, 25.0)\n", - "p.pixels = (400, 400)\n", - "p.color_by = 'material'\n", - "p.colors = {u235: 'yellow', water: 'blue'}\n", - "openmc.plot_inline(p)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now that we've had a chance to examine the model a bit, we can finish applying our settings and add a source." - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [], - "source": [ - "settings.source = openmc.Source(space=openmc.stats.Box([-4., -4., -4.],\n", - " [ 4., 4., 4.]))\n", - "settings.export_to_xml()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Tallies work in the same way when using DAGMC geometries too. We'll add a tally on the fuel cell here." - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [], - "source": [ - "tally = openmc.Tally()\n", - "tally.scores = ['total']\n", - "tally.filters = [openmc.CellFilter(1)]\n", - "tallies = openmc.Tallies([tally])\n", - "tallies.export_to_xml()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "**Note:** Applying tally filters in DagMC models requires prior knowledge of the model. Here, we know that the fuel cell's volume ID in the CAD sofware is 1. To identify cells without use of CAD software, load them into the [OpenMC plotter](https://github.com/openmc-dev/plotter) where cell, material, and volume IDs can be identified for native both OpenMC and DagMC geometries." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now we're ready to run the simulation just like any other OpenMC run." - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": { - "scrolled": true - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - " %%%%%%%%%%%%%%%\n", - " %%%%%%%%%%%%%%%%%%%%%%%%\n", - " %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\n", - " %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\n", - " %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\n", - " %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\n", - " %%%%%%%%%%%%%%%%%%%%%%%%\n", - " %%%%%%%%%%%%%%%%%%%%%%%%\n", - " ############### %%%%%%%%%%%%%%%%%%%%%%%%\n", - " ################## %%%%%%%%%%%%%%%%%%%%%%%\n", - " ################### %%%%%%%%%%%%%%%%%%%%%%%\n", - " #################### %%%%%%%%%%%%%%%%%%%%%%\n", - " ##################### %%%%%%%%%%%%%%%%%%%%%\n", - " ###################### %%%%%%%%%%%%%%%%%%%%\n", - " ####################### %%%%%%%%%%%%%%%%%%\n", - " ####################### %%%%%%%%%%%%%%%%%\n", - " ###################### %%%%%%%%%%%%%%%%%\n", - " #################### %%%%%%%%%%%%%%%%%\n", - " ################# %%%%%%%%%%%%%%%%%\n", - " ############### %%%%%%%%%%%%%%%%\n", - " ############ %%%%%%%%%%%%%%%\n", - " ######## %%%%%%%%%%%%%%\n", - " %%%%%%%%%%%\n", - "\n", - " | The OpenMC Monte Carlo Code\n", - " Copyright | 2011-2021 MIT and OpenMC contributors\n", - " License | https://docs.openmc.org/en/latest/license.html\n", - " Version | 0.13.0-dev\n", - " Git SHA1 | 0aafa81907ac79b9bdb4a86aede0b63fee3a9a9b\n", - " Date/Time | 2021-06-30 09:01:58\n", - " OpenMP Threads | 2\n", - "\n", - " Reading settings XML file...\n", - " Reading cross sections XML file...\n", - " Reading materials XML file...\n", - " Reading geometry XML file...\n", - "Set overlap thickness = 0\n", - "Set numerical precision = 0.001\n", - "Loading file dagmc.h5m\n", - "Initializing the GeomQueryTool...\n", - "Using faceting tolerance: 0.0001\n", - "Building acceleration data structures...\n", - "Implicit Complement assumed to be Vacuum\n", - " Reading U235 from /home/shriwise/opt/openmc/xs/nndc_hdf5/U235.h5\n", - " Reading H1 from /home/shriwise/opt/openmc/xs/nndc_hdf5/H1.h5\n", - " Reading O16 from /home/shriwise/opt/openmc/xs/nndc_hdf5/O16.h5\n", - " Reading c_H_in_H2O from /home/shriwise/opt/openmc/xs/nndc_hdf5/c_H_in_H2O.h5\n", - " Minimum neutron data temperature: 294.0 K\n", - " Maximum neutron data temperature: 294.0 K\n", - " Reading tallies XML file...\n", - " Preparing distributed cell instances...\n", - " Writing summary.h5 file...\n", - " Maximum neutron transport energy: 20000000.0 eV for U235\n", - " Initializing source particles...\n", - "\n", - " ====================> K EIGENVALUE SIMULATION <====================\n", - "\n", - " Bat./Gen. k Average k\n", - " ========= ======== ====================\n", - " 1/1 1.16613\n", - " 2/1 1.05158\n", - " 3/1 0.99824\n", - " 4/1 0.98119 0.98971 +/- 0.00853\n", - " 5/1 0.99111 0.99018 +/- 0.00494\n", - " 6/1 0.98946 0.99000 +/- 0.00350\n", - " 7/1 0.96858 0.98571 +/- 0.00507\n", - " 8/1 0.96709 0.98261 +/- 0.00518\n", - " 9/1 0.97415 0.98140 +/- 0.00454\n", - " 10/1 0.93691 0.97584 +/- 0.00681\n", - " Creating state point statepoint.10.h5...\n", - "\n", - " =======================> TIMING STATISTICS <=======================\n", - "\n", - " Total time for initialization = 2.0815e-01 seconds\n", - " Reading cross sections = 9.2095e-02 seconds\n", - " Total time in simulation = 1.5220e+00 seconds\n", - " Time in transport only = 1.5148e+00 seconds\n", - " Time in inactive batches = 2.9113e-01 seconds\n", - " Time in active batches = 1.2309e+00 seconds\n", - " Time synchronizing fission bank = 3.1554e-03 seconds\n", - " Sampling source sites = 2.7998e-03 seconds\n", - " SEND/RECV source sites = 3.4967e-04 seconds\n", - " Time accumulating tallies = 3.0953e-05 seconds\n", - " Time writing statepoints = 2.7201e-03 seconds\n", - " Total time for finalization = 2.3371e-04 seconds\n", - " Total time elapsed = 1.7509e+00 seconds\n", - " Calculation Rate (inactive) = 34348.7 particles/second\n", - " Calculation Rate (active) = 32497.7 particles/second\n", - "\n", - " ============================> RESULTS <============================\n", - "\n", - " k-effective (Collision) = 0.97672 +/- 0.00532\n", - " k-effective (Track-length) = 0.97584 +/- 0.00681\n", - " k-effective (Absorption) = 0.96793 +/- 0.00613\n", - " Combined k-effective = 0.97097 +/- 0.00582\n", - " Leakage Fraction = 0.57298 +/- 0.00284\n", - "\n" - ] - } - ], - "source": [ - "openmc.run()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## More Complicated Geometry" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Neat! But this pincell is something we could've done with CSG. Let's take a look at something more complex. We'll download a pre-built model of the [Utah teapot](https://en.wikipedia.org/wiki/Utah_teapot) and use it here." - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [], - "source": [ - "download(teapot_url)" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": {}, - "outputs": [ - { - "data": { - "image/jpeg": 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\n", - "text/plain": [ - "" - ] - }, - "execution_count": 13, - "metadata": { - "image/jpeg": { - "width": 600 - } - }, - "output_type": "execute_result" - } - ], - "source": [ - "Image(\"./images/teapot.jpg\", width=600)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Our teapot is made out of iron, so we'll want to create that material and make sure it is in our `materials.xml` file." - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, - "outputs": [], - "source": [ - "iron = openmc.Material(name=\"iron\")\n", - "iron.add_nuclide(\"Fe54\", 0.0564555822608)\n", - "iron.add_nuclide(\"Fe56\", 0.919015287728)\n", - "iron.add_nuclide(\"Fe57\", 0.0216036861685)\n", - "iron.add_nuclide(\"Fe58\", 0.00292544384231)\n", - "iron.set_density(\"g/cm3\", 7.874)\n", - "mats = openmc.Materials([iron, water])\n", - "mats.export_to_xml()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "To make sure we've updated the file correctly, let's make a plot of the teapot." - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAcIAAAEsAgMAAAAtOFskAAAABGdBTUEAALGPC/xhBQAAACBjSFJNAAB6JgAAgIQAAPoAAACA6AAAdTAAAOpgAAA6mAAAF3CculE8AAAACVBMVEX///+AgIAAAP8RXFShAAAAAWJLR0QAiAUdSAAAAAd0SU1FB+UGHg4CCIOoMicAAAa1SURBVHja7Zy7ltsgEEBNQZ+G/1GTnkKk2E/w/7hJr0L5ynglIfEWMA/n5DDFeu2z4jIPBjEa7+MxZMiQIUOGDBkyZMiQIUOGDBkyZMiQdhHmkJkbyIZUF9FMPCrOiV8pRToUYViI2nnDQ5ycN+o/JWrnDYtVhUtkiVUxp38nFMeSnoXpRE2pXynFUYwlcFznMbnR0YzJjZ8gnvHCFDiOakyBcwUMW+CcurG58fQfmxvPDYtlqzqIenthC5xzw+ILnIPlbZSDOIiDuMmewhkT+QdyznFsVJpNReO/Mqhod2TDpKQ6z+KK51Su3FM5B1IZ99zBgFQ+Q5Ejo4LKG6kJeTJRwfmu7lDxRLpkpKhqV3ttLKc5PnMbNesxk51Nt6gbNQR2ka7CbKJkgx4NK9wk8LSsTiwKyZcNmQwH2ZStFcYqkU3xgKFk07RRtq+mdCIwVgi3jt/JpuEoLH9CF6VoTJjwpK6mtu1v20BBBYl5G6V+BPU9O8h5ZLtW/mwgKjvPTtmqKKJFxw0GqLpsl7YTZeaCiplsMZM8tGXG3P82Uz2reeS0HxOdcHdAP5Jjlo6y8t6/h3bO8pjKFxxZP3OUrTj8HXNtSJXHn6aJFUbtrmYmx645xOdi7laSQVkz/+51lZxqTfLDJdak5+5slVoeNW7sr9ckibrvukpJzLUmcAC3LAliJnCcdgbQ7YPKf/Qji8Mm2lC9DBfxQMT4Ult1OokyBgJur+MFaQP/DCBlcIk6/MTqZueS0hByFxgvLDuHw97CYBOja61upmBT0AkiIlrd5rxNsYmH8rqgIuj8oDIf7O5MexGZOLvGlRTE8GJL3H5mgKDzdZgCbPCaklFhRB0QtQPOGRV0DAxTgCVqNuJh5V31TEoFPnoP5muJ20smPIHPwdLELYSvwPERQB2DuFPOi7gMmZpVr6jk2w0iM3FCQnQWx3x3SasEE54j4u0kUYh7NKrMxgQsIgahHhETlwALpT7RbsQnMTE69CGxf/3B302t0kYFPwjPEw0H0Wvoyey9wOUYxPrHiKZEBPdQeQO4KSdLBAKTzcNFovkDlEVHo61F4i8ocdXRaMdH/wpRfEGJf+ZotIWfOBWIEk50GxWeFcQnmPj6JFF5n6SJCgy0GjmL+yCmdytc4q8KIjjluElHHERTIoITgJsC7FKb2Yg2DEtEhATgpAAVE2daovGVlskjAAbRJh0bOGXiE4H4CqbvEg0pUR3EpUS0voYRjxRgjsFsSkj2MiGknJMgjP+enmiNWiYiJIDrJuNprXyulkQKQCTKM0UzELdFZ6xRfWKwIFFSzp505GnU6zZEkRG/EeYy1+wSDQ1Rvwc/VbyIMg5WlLT6Jr7FiYgi8dlNceX1Hvh65+zQiQoZGtEZKCDOFMTFBboHkZiIkuQi/uQRDStRRaETEVcCohc6CHersbwuooyIKGk1Ij584sxJjFvUSIiuTlFR/ouFqDmJKnAkCdGrfYSFay6is1woiF4NSwSORErkAdHLasEDCBLiyyMq35E0RG+vCBxJQjQJ4ulIks3K34GF70gG4sN/+khB9JbjGTqakLgERP8BHQlx8onCMyvFZvUKiA/vuS4JMQAejpzpiHFxwzUrAXGNi1SuWSmIOiTargAq4hIT1WVWQUCMQtV7SE9xCxCFqmdWCmLqSbU6Y4eAGIeqZ1YCYiJwrv6OiYKYCJzLkTMFMd3OIK2S+MQ1TbRm1fi3q0umncE26lyVNCx56UfRrPjEXLOfoCKu2T4YRURcdI4oiYiFDkoa4lpoLlIkxNzacGIHmVhsS92JuDvyWuzYkgTEV7l/Cp+43vT6KnTijYp77GAS19sm8U1JTBVvO/0ELnGp6INXqMSa/unvBfLEs+l0T3wgEpe69mmJl+buw8YqiUWsbfSXeMQ6oPcEDyRrlRe3BYJF1LVEgbQgw4pKyaxPFOKrnojS8pA+puai9QuF2NCujVMJqA/VB27PQ2XoYBCXFiJqtwxf6DT1+fMTMYK1KVSRuxC5QqcpcLB7dHkc2ehG7A52Fkc2uhHBkc3f84E6stmNYEc2u9Fp5es0aqsb344EmXXt+LoW7IZuaXcj8IYuV20smxXiyK7vwEHM2mVUkFm7jApaH53f1+5fHz1rYzdrtxv7jArYP5r3jdOsvY7s/n5o7/7RsW9Y6SX2uvETxM7mh4bT+D9AfEaj/a5o9OxeHF4zeIPU1sZSIjoqnwvsvyc017DXVM9/myebHrn4rUwQNXcp+fR1/hVIwcuZ1YL173RlJQ8Jd4oqsCZs2JAhQ4YMGXLJX9ZWayALnJC6AAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIxLTA2LTMwVDE0OjAyOjA4KzAwOjAwv15HHwAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMS0wNi0zMFQxNDowMjowOCswMDowMM4D/6MAAAAASUVORK5CYII=\n", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "p = openmc.Plot()\n", - "p.basis = 'xz'\n", - "p.origin = (0.0, 0.0, 0.0)\n", - "p.width = (30.0, 20.0)\n", - "p.pixels = (450, 300)\n", - "p.color_by = 'material'\n", - "p.colors = {iron: 'gray', water: 'blue'}\n", - "openmc.plot_inline(p)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Here we start to see some of the advantages CAD geometries provide. This particular file was pulled from the [GrabCAD](https://grabcad.com/library) and pushed through the DAGMC workflow without modification (other than the addition of material assignments). It would take a considerable amount of time to create a model like this using CSG!" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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\n", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "p.width = (18.0, 6.0)\n", - "p.basis = 'xz'\n", - "p.origin = (10.0, 0.0, 5.0)\n", - "p.pixels = (600, 200)\n", - "p.color_by = 'material'\n", - "openmc.plot_inline(p)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now let's brew some tea! ... using a very hot neutron source. We'll use some well-placed point sources distributed throughout the model." - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": {}, - "outputs": [], - "source": [ - "settings = openmc.Settings()\n", - "settings.batches = 10\n", - "settings.particles = 5000\n", - "settings.run_mode = \"fixed source\"\n", - "\n", - "src_locations = ((-4.0, 0.0, -2.0),\n", - " ( 4.0, 0.0, -2.0),\n", - " ( 4.0, 0.0, -6.0),\n", - " (-4.0, 0.0, -6.0),\n", - " (10.0, 0.0, -4.0),\n", - " (-8.0, 0.0, -4.0))\n", - "\n", - "# we'll use the same energy for each source\n", - "src_e = openmc.stats.Discrete(x=[12.0,], p=[1.0,])\n", - "\n", - "# create source for each location\n", - "sources = []\n", - "for loc in src_locations:\n", - " src_pnt = openmc.stats.Point(xyz=loc)\n", - " src = openmc.Source(space=src_pnt, energy=src_e)\n", - " sources.append(src)\n", - "\n", - "src_str = 1.0 / len(sources)\n", - "for source in sources:\n", - " source.strength = src_str\n", - "\n", - "settings.source = sources\n", - "settings.export_to_xml()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "...and setup a couple of mesh tallies. One for the kettle, and one for the water inside." - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": {}, - "outputs": [], - "source": [ - "mesh = openmc.RegularMesh()\n", - "mesh.dimension = (120, 1, 40)\n", - "mesh.lower_left = (-20.0, 0.0, -10.0)\n", - "mesh.upper_right = (20.0, 1.0, 4.0)\n", - "\n", - "mesh_filter = openmc.MeshFilter(mesh)\n", - "\n", - "pot_filter = openmc.CellFilter([1])\n", - "pot_tally = openmc.Tally()\n", - "pot_tally.filters = [mesh_filter, pot_filter]\n", - "pot_tally.scores = ['flux']\n", - "\n", - "water_filter = openmc.CellFilter([5])\n", - "water_tally = openmc.Tally()\n", - "water_tally.filters = [mesh_filter, water_filter]\n", - "water_tally.scores = ['flux']\n", - "\n", - "\n", - "tallies = openmc.Tallies([pot_tally, water_tally])\n", - "tallies.export_to_xml()" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - " %%%%%%%%%%%%%%%\n", - " %%%%%%%%%%%%%%%%%%%%%%%%\n", - " %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\n", - " %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\n", - " %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\n", - " %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\n", - " %%%%%%%%%%%%%%%%%%%%%%%%\n", - " %%%%%%%%%%%%%%%%%%%%%%%%\n", - " ############### %%%%%%%%%%%%%%%%%%%%%%%%\n", - " ################## %%%%%%%%%%%%%%%%%%%%%%%\n", - " ################### %%%%%%%%%%%%%%%%%%%%%%%\n", - " #################### %%%%%%%%%%%%%%%%%%%%%%\n", - " ##################### %%%%%%%%%%%%%%%%%%%%%\n", - " ###################### %%%%%%%%%%%%%%%%%%%%\n", - " ####################### %%%%%%%%%%%%%%%%%%\n", - " ####################### %%%%%%%%%%%%%%%%%\n", - " ###################### %%%%%%%%%%%%%%%%%\n", - " #################### %%%%%%%%%%%%%%%%%\n", - " ################# %%%%%%%%%%%%%%%%%\n", - " ############### %%%%%%%%%%%%%%%%\n", - " ############ %%%%%%%%%%%%%%%\n", - " ######## %%%%%%%%%%%%%%\n", - " %%%%%%%%%%%\n", - "\n", - " | The OpenMC Monte Carlo Code\n", - " Copyright | 2011-2021 MIT and OpenMC contributors\n", - " License | https://docs.openmc.org/en/latest/license.html\n", - " Version | 0.13.0-dev\n", - " Git SHA1 | 0aafa81907ac79b9bdb4a86aede0b63fee3a9a9b\n", - " Date/Time | 2021-06-30 09:02:13\n", - " OpenMP Threads | 2\n", - "\n", - " Reading settings XML file...\n", - " Reading cross sections XML file...\n", - " Reading materials XML file...\n", - " Reading geometry XML file...\n", - "Set overlap thickness = 0\n", - "Set numerical precision = 0.001\n", - "Loading file dagmc.h5m\n", - "Initializing the GeomQueryTool...\n", - "Using faceting tolerance: 0.001\n", - "Building acceleration data structures...\n", - "Implicit Complement assumed to be Vacuum\n", - " Reading Fe54 from /home/shriwise/opt/openmc/xs/nndc_hdf5/Fe54.h5\n", - " Reading Fe56 from /home/shriwise/opt/openmc/xs/nndc_hdf5/Fe56.h5\n", - " Reading Fe57 from /home/shriwise/opt/openmc/xs/nndc_hdf5/Fe57.h5\n", - " Reading Fe58 from /home/shriwise/opt/openmc/xs/nndc_hdf5/Fe58.h5\n", - " Reading H1 from /home/shriwise/opt/openmc/xs/nndc_hdf5/H1.h5\n", - " Reading O16 from /home/shriwise/opt/openmc/xs/nndc_hdf5/O16.h5\n", - " Reading c_H_in_H2O from /home/shriwise/opt/openmc/xs/nndc_hdf5/c_H_in_H2O.h5\n", - " Minimum neutron data temperature: 294.0 K\n", - " Maximum neutron data temperature: 294.0 K\n", - " Reading tallies XML file...\n", - " Preparing distributed cell instances...\n", - " Writing summary.h5 file...\n", - " Maximum neutron transport energy: 20000000.0 eV for Fe58\n", - "\n", - " ===============> FIXED SOURCE TRANSPORT SIMULATION <===============\n", - "\n", - " Simulating batch 1\n", - " Simulating batch 2\n", - " Simulating batch 3\n", - " Simulating batch 4\n", - " Simulating batch 5\n", - " Simulating batch 6\n", - " Simulating batch 7\n", - " Simulating batch 8\n", - " Simulating batch 9\n", - " Simulating batch 10\n", - " Creating state point statepoint.10.h5...\n", - "\n", - " =======================> TIMING STATISTICS <=======================\n", - "\n", - " Total time for initialization = 4.8117e+00 seconds\n", - " Reading cross sections = 4.6543e-01 seconds\n", - " Total time in simulation = 1.4498e+01 seconds\n", - " Time in transport only = 1.4493e+01 seconds\n", - " Time in active batches = 1.4498e+01 seconds\n", - " Time accumulating tallies = 3.1628e-04 seconds\n", - " Time writing statepoints = 4.8840e-03 seconds\n", - " Total time for finalization = 1.5489e-02 seconds\n", - " Total time elapsed = 1.9328e+01 seconds\n", - " Calculation Rate (active) = 3448.64 particles/second\n", - "\n", - " ============================> RESULTS <============================\n", - "\n", - " Leakage Fraction = 0.63090 +/- 0.00246\n", - "\n" - ] - } - ], - "source": [ - "openmc.run()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Note that the performance is significantly lower than our pincell model due to the increased complexity of the model, but it allows us to examine tally results like these:" - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "metadata": {}, - "outputs": [], - "source": [ - "sp = openmc.StatePoint(\"statepoint.10.h5\")\n", - "\n", - "water_tally = sp.get_tally(scores=['flux'], id=water_tally.id)\n", - "water_flux = water_tally.mean\n", - "water_flux.shape = (40, 120)\n", - "water_flux = water_flux[::-1, :]\n", - "\n", - "pot_tally = sp.get_tally(scores=['flux'], id=pot_tally.id)\n", - "pot_flux = pot_tally.mean\n", - "pot_flux.shape = (40, 120)\n", - "pot_flux = pot_flux[::-1, :]\n", - "\n", - "del sp" - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 21, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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- "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "from matplotlib import pyplot as plt\n", - "fig = plt.figure(figsize=(18, 16))\n", - "\n", - "sub_plot1 = plt.subplot(121, title=\"Kettle Flux\")\n", - "sub_plot1.imshow(pot_flux)\n", - "\n", - "sub_plot2 = plt.subplot(122, title=\"Water Flux\")\n", - "sub_plot2.imshow(water_flux)" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.7.3" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/examples/jupyter/candu.ipynb b/examples/jupyter/candu.ipynb deleted file mode 100644 index 3e5bc7283..000000000 --- a/examples/jupyter/candu.ipynb +++ /dev/null @@ -1,1110 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Modeling a CANDU Bundle\n", - "In this example, we will create a typical CANDU bundle with rings of fuel pins. At present, OpenMC does not have a specialized lattice for this type of fuel arrangement, so we must resort to manual creation of the array of fuel pins." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "%matplotlib inline\n", - "from math import pi, sin, cos\n", - "import numpy as np\n", - "import openmc" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Let's begin by creating the materials that will be used in our model." - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "fuel = openmc.Material(name='fuel')\n", - "fuel.add_element('U', 1.0)\n", - "fuel.add_element('O', 2.0)\n", - "fuel.set_density('g/cm3', 10.0)\n", - "\n", - "clad = openmc.Material(name='zircaloy')\n", - "clad.add_element('Zr', 1.0)\n", - "clad.set_density('g/cm3', 6.0)\n", - "\n", - "heavy_water = openmc.Material(name='heavy water')\n", - "heavy_water.add_nuclide('H2', 2.0)\n", - "heavy_water.add_nuclide('O16', 1.0)\n", - "heavy_water.add_s_alpha_beta('c_D_in_D2O')\n", - "heavy_water.set_density('g/cm3', 1.1)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "With our materials created, we'll now define key dimensions in our model. These dimensions are taken from the example in section 11.1.3 of the [Serpent manual](http://montecarlo.vtt.fi/download/Serpent_manual.pdf)." - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], - "source": [ - "# Outer radius of fuel and clad\n", - "r_fuel = 0.6122\n", - "r_clad = 0.6540\n", - "\n", - "# Pressure tube and calendria radii\n", - "pressure_tube_ir = 5.16890\n", - "pressure_tube_or = 5.60320\n", - "calendria_ir = 6.44780\n", - "calendria_or = 6.58750\n", - "\n", - "# Radius to center of each ring of fuel pins\n", - "ring_radii = np.array([0.0, 1.4885, 2.8755, 4.3305])" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "To begin creating the bundle, we'll first create annular regions completely filled with heavy water and add in the fuel pins later. The radii that we've specified above correspond to the center of each ring. We actually need to create cylindrical surfaces at radii that are half-way between the centers." - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [], - "source": [ - "# These are the surfaces that will divide each of the rings\n", - "radial_surf = [openmc.ZCylinder(r=r) for r in\n", - " (ring_radii[:-1] + ring_radii[1:])/2]\n", - "\n", - "water_cells = []\n", - "for i in range(ring_radii.size):\n", - " # Create annular region\n", - " if i == 0:\n", - " water_region = -radial_surf[i]\n", - " elif i == ring_radii.size - 1:\n", - " water_region = +radial_surf[i-1]\n", - " else:\n", - " water_region = +radial_surf[i-1] & -radial_surf[i]\n", - " \n", - " water_cells.append(openmc.Cell(fill=heavy_water, region=water_region))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Let's see what our geometry looks like so far. In order to plot the geometry, we create a universe that contains the annular water cells and then use the `Universe.plot()` method. While we're at it, we'll set some keyword arguments that can be reused for later plots." - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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+n7mOEtwi6fB4B/ycpE9O0wiX4QKVKX16DyAxQg9UhtADlSH0QGUIPVAZQg9UhtADlfl/iaKLK2iLQ/wAAAAASUVORK5CYII=\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "plot_args = {'width': (2*calendria_or, 2*calendria_or)}\n", - "bundle_universe = openmc.Universe(cells=water_cells)\n", - "bundle_universe.plot(**plot_args)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now we need to create a universe that contains a fuel pin. Note that we don't actually need to put water outside of the cladding in this universe because it will be truncated by a higher universe." - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [], - "source": [ - "surf_fuel = openmc.ZCylinder(r=r_fuel)\n", - "\n", - "fuel_cell = openmc.Cell(fill=fuel, region=-surf_fuel)\n", - "clad_cell = openmc.Cell(fill=clad, region=+surf_fuel)\n", - "\n", - "pin_universe = openmc.Universe(cells=(fuel_cell, clad_cell))" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": "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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "pin_universe.plot(**plot_args)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The code below works through each ring to create a cell containing the fuel pin universe. As each fuel pin is created, we modify the region of the water cell to include everything outside the fuel pin." - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [], - "source": [ - "num_pins = [1, 6, 12, 18]\n", - "angles = [0, 0, 15, 0]\n", - "\n", - "for i, (r, n, a) in enumerate(zip(ring_radii, num_pins, angles)):\n", - " for j in range(n):\n", - " # Determine location of center of pin\n", - " theta = (a + j/n*360.) * pi/180.\n", - " x = r*cos(theta)\n", - " y = r*sin(theta)\n", - " \n", - " pin_boundary = openmc.ZCylinder(x0=x, y0=y, r=r_clad)\n", - " water_cells[i].region &= +pin_boundary\n", - " \n", - " # Create each fuel pin -- note that we explicitly assign an ID so \n", - " # that we can identify the pin later when looking at tallies\n", - " pin = openmc.Cell(fill=pin_universe, region=-pin_boundary)\n", - " pin.translation = (x, y, 0)\n", - " pin.id = (i + 1)*100 + j\n", - " bundle_universe.add_cell(pin)" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "bundle_universe.plot(**plot_args)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Looking pretty good! Finally, we create cells for the pressure tube and calendria and then put our bundle in the middle of the pressure tube." - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [], - "source": [ - "pt_inner = openmc.ZCylinder(r=pressure_tube_ir)\n", - "pt_outer = openmc.ZCylinder(r=pressure_tube_or)\n", - "calendria_inner = openmc.ZCylinder(r=calendria_ir)\n", - "calendria_outer = openmc.ZCylinder(r=calendria_or, boundary_type='vacuum')\n", - "\n", - "bundle = openmc.Cell(fill=bundle_universe, region=-pt_inner)\n", - "pressure_tube = openmc.Cell(fill=clad, region=+pt_inner & -pt_outer)\n", - "v1 = openmc.Cell(region=+pt_outer & -calendria_inner)\n", - "calendria = openmc.Cell(fill=clad, region=+calendria_inner & -calendria_outer)\n", - "\n", - "root_universe = openmc.Universe(cells=[bundle, pressure_tube, v1, calendria])" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Let's look at the final product. We'll export our geometry and materials and then use `plot_inline()` to get a nice-looking plot." - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [], - "source": [ - "geometry = openmc.Geometry(root_universe)\n", - "geometry.export_to_xml()\n", - "\n", - "materials = openmc.Materials(geometry.get_all_materials().values())\n", - "materials.export_to_xml()" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "execution_count": 12, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "plot = openmc.Plot.from_geometry(geometry)\n", - "plot.color_by = 'material'\n", - "plot.colors = {\n", - " fuel: 'black',\n", - " clad: 'silver',\n", - " heavy_water: 'blue'\n", - "}\n", - "plot.to_ipython_image()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Interpreting Results\n", - "\n", - "One of the difficulties of a geometry like this is identifying tally results when there was no lattice involved. To address this, we specifically gave an ID to each fuel pin of the form 100\\*ring + azimuthal position. Consequently, we can use a distribcell tally and then look at our `DataFrame` which will show these cell IDs." - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": {}, - "outputs": [], - "source": [ - "settings = openmc.Settings()\n", - "settings.particles = 1000\n", - "settings.batches = 20\n", - "settings.inactive = 10\n", - "settings.source = openmc.Source(space=openmc.stats.Point())\n", - "settings.export_to_xml()" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, - "outputs": [], - "source": [ - "fuel_tally = openmc.Tally()\n", - "fuel_tally.filters = [openmc.DistribcellFilter(fuel_cell)]\n", - "fuel_tally.scores = ['flux']\n", - "\n", - "tallies = openmc.Tallies([fuel_tally])\n", - "tallies.export_to_xml()" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": {}, - "outputs": [], - "source": [ - "openmc.run(output=False)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The return code of `0` indicates that OpenMC ran successfully. Now let's load the statepoint into a `openmc.StatePoint` object and use the `Tally.get_pandas_dataframe(...)` method to see our results." - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
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" \n", - " \n", - " \n", - " \n", - "
level 1level 2level 3distribcellnuclidescoremeanstd. dev.
univcellunivcellunivcell
idididididid
03441100250totalflux0.2113850.010406
13441200251totalflux0.1820150.006170
23441201252totalflux0.1849110.005997
33441202253totalflux0.1931770.009182
43441203254totalflux0.1934220.007610
53441204255totalflux0.1888080.005277
63441205256totalflux0.1914240.003950
73441300257totalflux0.1549320.007590
83441301258totalflux0.1536880.006581
93441302259totalflux0.1614710.004471
1034413032510totalflux0.1512020.008047
1134413042511totalflux0.1539050.005394
1234413052512totalflux0.1532890.010077
1334413062513totalflux0.1715590.007727
1434413072514totalflux0.1638020.006032
1534413082515totalflux0.1537710.005325
1634413092516totalflux0.1590700.005367
1734413102517totalflux0.1500780.005973
1834413112518totalflux0.1500650.007176
1934414002519totalflux0.1054390.004338
2034414012520totalflux0.1085020.004957
2134414022521totalflux0.1030880.007733
2234414032522totalflux0.1022370.003835
2334414042523totalflux0.1071330.006022
2434414052524totalflux0.1041770.004377
2534414062525totalflux0.1102810.005753
2634414072526totalflux0.1031710.003678
2734414082527totalflux0.1035340.005595
2834414092528totalflux0.1072400.003574
2934414102529totalflux0.1081620.006636
3034414112530totalflux0.1185500.005535
3134414122531totalflux0.1144350.006232
3234414132532totalflux0.1092270.003769
3334414142533totalflux0.1131480.006165
3434414152534totalflux0.1120060.005454
3534414162535totalflux0.0999730.004764
3634414172536totalflux0.1049520.005613
\n", - "
" - ], - "text/plain": [ - " level 1 level 2 level 3 distribcell nuclide score mean \\\n", - " univ cell univ cell univ cell \n", - " id id id id id id \n", - "0 3 44 1 100 2 5 0 total flux 2.11e-01 \n", - "1 3 44 1 200 2 5 1 total flux 1.82e-01 \n", - "2 3 44 1 201 2 5 2 total flux 1.85e-01 \n", - "3 3 44 1 202 2 5 3 total flux 1.93e-01 \n", - "4 3 44 1 203 2 5 4 total flux 1.93e-01 \n", - "5 3 44 1 204 2 5 5 total flux 1.89e-01 \n", - "6 3 44 1 205 2 5 6 total flux 1.91e-01 \n", - "7 3 44 1 300 2 5 7 total flux 1.55e-01 \n", - "8 3 44 1 301 2 5 8 total flux 1.54e-01 \n", - "9 3 44 1 302 2 5 9 total flux 1.61e-01 \n", - "10 3 44 1 303 2 5 10 total flux 1.51e-01 \n", - "11 3 44 1 304 2 5 11 total flux 1.54e-01 \n", - "12 3 44 1 305 2 5 12 total flux 1.53e-01 \n", - "13 3 44 1 306 2 5 13 total flux 1.72e-01 \n", - "14 3 44 1 307 2 5 14 total flux 1.64e-01 \n", - "15 3 44 1 308 2 5 15 total flux 1.54e-01 \n", - "16 3 44 1 309 2 5 16 total flux 1.59e-01 \n", - "17 3 44 1 310 2 5 17 total flux 1.50e-01 \n", - "18 3 44 1 311 2 5 18 total flux 1.50e-01 \n", - "19 3 44 1 400 2 5 19 total flux 1.05e-01 \n", - "20 3 44 1 401 2 5 20 total flux 1.09e-01 \n", - "21 3 44 1 402 2 5 21 total flux 1.03e-01 \n", - "22 3 44 1 403 2 5 22 total flux 1.02e-01 \n", - "23 3 44 1 404 2 5 23 total flux 1.07e-01 \n", - "24 3 44 1 405 2 5 24 total flux 1.04e-01 \n", - "25 3 44 1 406 2 5 25 total flux 1.10e-01 \n", - "26 3 44 1 407 2 5 26 total flux 1.03e-01 \n", - "27 3 44 1 408 2 5 27 total flux 1.04e-01 \n", - "28 3 44 1 409 2 5 28 total flux 1.07e-01 \n", - "29 3 44 1 410 2 5 29 total flux 1.08e-01 \n", - "30 3 44 1 411 2 5 30 total flux 1.19e-01 \n", - "31 3 44 1 412 2 5 31 total flux 1.14e-01 \n", - "32 3 44 1 413 2 5 32 total flux 1.09e-01 \n", - "33 3 44 1 414 2 5 33 total flux 1.13e-01 \n", - "34 3 44 1 415 2 5 34 total flux 1.12e-01 \n", - "35 3 44 1 416 2 5 35 total flux 1.00e-01 \n", - "36 3 44 1 417 2 5 36 total flux 1.05e-01 \n", - "\n", - " std. dev. \n", - " \n", - " \n", - "0 1.04e-02 \n", - "1 6.17e-03 \n", - "2 6.00e-03 \n", - "3 9.18e-03 \n", - "4 7.61e-03 \n", - "5 5.28e-03 \n", - "6 3.95e-03 \n", - "7 7.59e-03 \n", - "8 6.58e-03 \n", - "9 4.47e-03 \n", - "10 8.05e-03 \n", - "11 5.39e-03 \n", - "12 1.01e-02 \n", - "13 7.73e-03 \n", - "14 6.03e-03 \n", - "15 5.33e-03 \n", - "16 5.37e-03 \n", - "17 5.97e-03 \n", - "18 7.18e-03 \n", - "19 4.34e-03 \n", - "20 4.96e-03 \n", - "21 7.73e-03 \n", - "22 3.84e-03 \n", - "23 6.02e-03 \n", - "24 4.38e-03 \n", - "25 5.75e-03 \n", - "26 3.68e-03 \n", - "27 5.59e-03 \n", - "28 3.57e-03 \n", - "29 6.64e-03 \n", - "30 5.53e-03 \n", - "31 6.23e-03 \n", - "32 3.77e-03 \n", - "33 6.16e-03 \n", - "34 5.45e-03 \n", - "35 4.76e-03 \n", - "36 5.61e-03 " - ] - }, - "execution_count": 16, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "with openmc.StatePoint('statepoint.{}.h5'.format(settings.batches)) as sp:\n", - " output_tally = sp.get_tally()\n", - " df = output_tally.get_pandas_dataframe()\n", - " \n", - "df" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We can see that in the 'level 2' column, the 'cell id' tells us how each row corresponds to a ring and azimuthal position." - ] - } - ], - "metadata": { - "anaconda-cloud": {}, - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.7.3" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/examples/jupyter/capi.ipynb b/examples/jupyter/capi.ipynb deleted file mode 100644 index e696d6b01..000000000 --- a/examples/jupyter/capi.ipynb +++ /dev/null @@ -1,475 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Using the C/C++ API\n", - "This notebook shows how to use the OpenMC C/C++ API through the openmc.lib module. This module is particularly useful for multiphysics coupling because it allows you to update the density of materials and the temperatures of cells in memory, without stopping the simulation.\n", - "\n", - "Warning: these bindings are still somewhat experimental and may be subject to change in future versions of OpenMC." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "%matplotlib inline\n", - "import openmc\n", - "import openmc.lib" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Generate Input Files\n", - "\n", - "Let's start by creating a fuel rod geometry. We will make 10 zones in the z-direction which will allow us to make changes to each zone. Changes in temperature have to be made on the cell, so will make 10 cells in the axial direction. Changes in density have to be made on the material, so we will make 10 water materials. " - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Materials: we will make a fuel, helium, zircaloy, and 10 water materials. " - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "material_list = []" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], - "source": [ - "uo2 = openmc.Material(material_id=1, name='UO2 fuel at 2.4% wt enrichment')\n", - "uo2.set_density('g/cm3', 10.29769)\n", - "uo2.add_element('U', 1., enrichment=2.4)\n", - "uo2.add_element('O', 2.)\n", - "material_list.append(uo2)\n", - "\n", - "helium = openmc.Material(material_id=2, name='Helium for gap')\n", - "helium.set_density('g/cm3', 0.001598)\n", - "helium.add_element('He', 2.4044e-4)\n", - "material_list.append(helium)\n", - "\n", - "zircaloy = openmc.Material(material_id=3, name='Zircaloy 4')\n", - "zircaloy.set_density('g/cm3', 6.55)\n", - "zircaloy.add_element('Sn', 0.014, 'wo')\n", - "zircaloy.add_element('Fe', 0.00165, 'wo')\n", - "zircaloy.add_element('Cr', 0.001, 'wo')\n", - "zircaloy.add_element('Zr', 0.98335, 'wo')\n", - "material_list.append(zircaloy)\n", - "\n", - "for i in range(4, 14):\n", - " water = openmc.Material(material_id=i)\n", - " water.set_density('g/cm3', 0.7)\n", - " water.add_element('H', 2.0)\n", - " water.add_element('O', 1.0)\n", - " water.add_s_alpha_beta('c_H_in_H2O')\n", - " material_list.append(water)\n", - " \n", - "materials_file = openmc.Materials(material_list)\n", - "materials_file.export_to_xml()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Cells: we will make a fuel cylinder, a gap cylinder, a cladding cylinder, and a water exterior. Each one will be broken into 10 cells which are the 10 axial zones. The z_list is the list of axial positions that delimit those 10 zones. To keep track of all the cells, we will create lists: fuel_list, gap_list, clad_list, and water_list. " - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [], - "source": [ - "pitch = 1.25984\n", - "fuel_or = openmc.ZCylinder(r=0.39218)\n", - "clad_ir = openmc.ZCylinder(r=0.40005)\n", - "clad_or = openmc.ZCylinder(r=0.4572)\n", - "left = openmc.XPlane(x0=-pitch/2)\n", - "right = openmc.XPlane(x0=pitch/2)\n", - "back = openmc.YPlane(y0=-pitch/2)\n", - "front = openmc.YPlane(y0=pitch/2)\n", - "z = [0., 30., 60., 90., 120., 150., 180., 210., 240., 270., 300.]\n", - "z_list = [openmc.ZPlane(z0=z_i) for z_i in z]" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [], - "source": [ - "left.boundary_type = 'reflective'\n", - "right.boundary_type = 'reflective'\n", - "front.boundary_type = 'reflective'\n", - "back.boundary_type = 'reflective'\n", - "z_list[0].boundary_type = 'vacuum'\n", - "z_list[-1].boundary_type = 'vacuum'" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [], - "source": [ - "fuel_list = []\n", - "gap_list = []\n", - "clad_list = []\n", - "water_list = []\n", - "for i in range(1, 11):\n", - " fuel_list.append(openmc.Cell(cell_id=i))\n", - " gap_list.append(openmc.Cell(cell_id=i+10))\n", - " clad_list.append(openmc.Cell(cell_id=i+20))\n", - " water_list.append(openmc.Cell(cell_id=i+30))\n", - " \n", - "for j, fuels in enumerate(fuel_list):\n", - " fuels.region = -fuel_or & +z_list[j] & -z_list[j+1]\n", - " fuels.fill = uo2\n", - " fuels.temperature = 800.\n", - "\n", - "for j, gaps in enumerate(gap_list):\n", - " gaps.region = +fuel_or & -clad_ir & +z_list[j] & -z_list[j+1]\n", - " gaps.fill = helium\n", - " gaps.temperature = 700.\n", - "\n", - "for j, clads in enumerate(clad_list):\n", - " clads.region = +clad_ir & -clad_or & +z_list[j] & -z_list[j+1]\n", - " clads.fill = zircaloy\n", - " clads.temperature = 600.\n", - "\n", - "for j, waters in enumerate(water_list):\n", - " waters.region = +clad_or & +left & -right & +back & -front & +z_list[j] & -z_list[j+1]\n", - " waters.fill = material_list[j+3]\n", - " waters.temperature = 500." - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [], - "source": [ - "root = openmc.Universe(name='root universe')\n", - "root.add_cells(fuel_list)\n", - "root.add_cells(gap_list)\n", - "root.add_cells(clad_list)\n", - "root.add_cells(water_list)\n", - "geometry_file = openmc.Geometry(root)\n", - "geometry_file.export_to_xml()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "If you are coupling this externally to a heat transfer solver, you will want to know the heat deposited by each fuel cell. So let's create a cell filter for the recoverable fission heat. " - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [], - "source": [ - "cell_filter = openmc.CellFilter(fuel_list)\n", - "t = openmc.Tally(tally_id=1)\n", - "t.filters.append(cell_filter)\n", - "t.scores = ['fission-q-recoverable']\n", - "tallies = openmc.Tallies([t])\n", - "tallies.export_to_xml()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Let's plot our geometry to make sure it looks like we expect. Since we made new water materials in each axial cell, and we have centered the plot at 150, we should see one color for the water material in the bottom half and a different color for the water material in the top half. " - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 19, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": "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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "root.plot(basis='yz', width=[2, 10], color_by='material', origin=[0., 0., 150.], pixels=[400, 400])" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Settings: everything will be standard except for the temperature settings. Since we will be working with specified temperatures, you will need temperature dependent data. I typically use the endf data found here: https://openmc.org/official-data-libraries/\n", - "Make sure your cross sections environment variable is pointing to temperature-dependent data before using the following settings." - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": {}, - "outputs": [], - "source": [ - "lower_left = [-0.62992, -pitch/2, 0]\n", - "upper_right = [+0.62992, +pitch/2, +300]\n", - "uniform_dist = openmc.stats.Box(lower_left, upper_right, only_fissionable=True)\n", - "\n", - "settings_file = openmc.Settings()\n", - "settings_file.batches = 100\n", - "settings_file.inactive = 10\n", - "settings_file.particles = 10000\n", - "settings_file.temperature = {'multipole': True, 'method': 'interpolation', 'range': [290, 2500]}\n", - "settings_file.source = openmc.source.Source(space=uniform_dist)\n", - "settings_file.export_to_xml()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "To run a regular simulation, just use openmc.run(). \n", - "However, we want to run a simulation that we can stop in the middle and update the material and cell properties. So we will use openmc.lib." - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, - "outputs": [], - "source": [ - "openmc.lib.init()\n", - "openmc.lib.simulation_init()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "There are 10 inactive batches, so we need to run next_batch() at least 10 times before the tally is activated. " - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": {}, - "outputs": [], - "source": [ - "for _ in range(14):\n", - " openmc.lib.next_batch()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Let's take a look at the tally. There are 10 entries, one for each cell in the fuel." - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[[ 4178272.4202991 ]\n", - " [ 9595363.82759911]\n", - " [12307462.30060902]\n", - " [11772927.66594472]\n", - " [11892601.29001472]\n", - " [12203397.88895767]\n", - " [12851791.20965905]\n", - " [11760027.45873386]\n", - " [ 9293110.94735569]\n", - " [ 4511597.61592287]]\n" - ] - } - ], - "source": [ - "t = openmc.lib.tallies[1]\n", - "print(t.mean)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now, let's make some changes to the temperatures. For this, we need to identify each cell by its id. We can use get_temperature() to compare the temperatures of the cells before and after the change. " - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "fuel temperature is: \n", - "800.0\n", - "gap temperature is: \n", - "700.0\n", - "clad temperature is: \n", - "600.0\n", - "water temperature is: \n", - "500.00000000000006\n" - ] - } - ], - "source": [ - "print(\"fuel temperature is: \")\n", - "print(openmc.lib.cells[5].get_temperature())\n", - "print(\"gap temperature is: \")\n", - "print(openmc.lib.cells[15].get_temperature())\n", - "print(\"clad temperature is: \")\n", - "print(openmc.lib.cells[25].get_temperature())\n", - "print(\"water temperature is: \")\n", - "print(openmc.lib.cells[35].get_temperature())" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": {}, - "outputs": [], - "source": [ - "for i in range(1, 11):\n", - " temp = 900.0\n", - " openmc.lib.cells[i].set_temperature(temp)" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "fuel temperature is: \n", - "899.9999999999999\n" - ] - } - ], - "source": [ - "print(\"fuel temperature is: \")\n", - "print(openmc.lib.cells[5].get_temperature())" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Let's make a similar change for the water density. Again, we need to identify each material by its id." - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "metadata": {}, - "outputs": [], - "source": [ - "for i in range(4, 14):\n", - " density = 0.65\n", - " openmc.lib.materials[i].set_density(density, units='g/cm3')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The new batches we run will use the new material and cell properties." - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "metadata": {}, - "outputs": [], - "source": [ - "for _ in range(14):\n", - " openmc.lib.next_batch()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "When you're ready to end the simulation, use the following:" - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "metadata": {}, - "outputs": [], - "source": [ - "openmc.lib.simulation_finalize()\n", - "openmc.lib.finalize()" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.8.3" - } - }, - "nbformat": 4, - "nbformat_minor": 4 -} diff --git a/examples/jupyter/chain_simple.xml b/examples/jupyter/chain_simple.xml deleted file mode 120000 index 96f6fa881..000000000 --- a/examples/jupyter/chain_simple.xml +++ /dev/null @@ -1 +0,0 @@ -../../tests/chain_simple.xml \ No newline at end of file diff --git a/examples/jupyter/expansion-filters.ipynb b/examples/jupyter/expansion-filters.ipynb deleted file mode 100644 index 3b0413a05..000000000 --- a/examples/jupyter/expansion-filters.ipynb +++ /dev/null @@ -1,1548 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Functional Expansions\n", - "OpenMC's general tally system accommodates a wide range of tally *filters*. While most filters are meant to identify regions of phase space that contribute to a tally, there are a special set of functional expansion filters that will multiply the tally by a set of orthogonal functions, e.g. Legendre polynomials, so that continuous functions of space or angle can be reconstructed from the tallied moments.\n", - "\n", - "In this example, we will determine the spatial dependence of the flux along the $z$ axis by making a Legendre polynomial expansion. Let us represent the flux along the z axis, $\\phi(z)$, by the function\n", - "\n", - "$$ \\phi(z') = \\sum\\limits_{n=0}^N a_n P_n(z') $$\n", - "\n", - "where $z'$ is the position normalized to the range [-1, 1]. Since $P_n(z')$ are known functions, our only task is to determine the expansion coefficients, $a_n$. By the orthogonality properties of the Legendre polynomials, one can deduce that the coefficients, $a_n$, are given by\n", - "\n", - "$$ a_n = \\frac{2n + 1}{2} \\int_{-1}^1 dz' P_n(z') \\phi(z').$$\n", - "\n", - "Thus, the problem reduces to finding the integral of the flux times each Legendre polynomial -- a problem which can be solved by using a Monte Carlo tally. By using a Legendre polynomial filter, we obtain stochastic estimates of these integrals for each polynomial order." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "%matplotlib inline\n", - "import openmc\n", - "import numpy as np\n", - "import matplotlib.pyplot as plt" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "To begin, let us first create a simple model. The model will be a slab of fuel material with reflective boundaries conditions in the x- and y-directions and vacuum boundaries in the z-direction. However, to make the distribution slightly more interesting, we'll put some B4C in the middle of the slab." - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "# Define fuel and B4C materials\n", - "fuel = openmc.Material()\n", - "fuel.add_element('U', 1.0, enrichment=4.5)\n", - "fuel.add_nuclide('O16', 2.0)\n", - "fuel.set_density('g/cm3', 10.0)\n", - "\n", - "b4c = openmc.Material()\n", - "b4c.add_element('B', 4.0)\n", - "b4c.add_element('C', 1.0)\n", - "b4c.set_density('g/cm3', 2.5)" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], - "source": [ - "# Define surfaces used to construct regions\n", - "zmin, zmax = -10., 10.\n", - "box = openmc.model.rectangular_prism(10., 10., boundary_type='reflective')\n", - "bottom = openmc.ZPlane(z0=zmin, boundary_type='vacuum')\n", - "boron_lower = openmc.ZPlane(z0=-0.5)\n", - "boron_upper = openmc.ZPlane(z0=0.5)\n", - "top = openmc.ZPlane(z0=zmax, boundary_type='vacuum')\n", - "\n", - "# Create three cells and add them to geometry\n", - "fuel1 = openmc.Cell(fill=fuel, region=box & +bottom & -boron_lower)\n", - "absorber = openmc.Cell(fill=b4c, region=box & +boron_lower & -boron_upper)\n", - "fuel2 = openmc.Cell(fill=fuel, region=box & +boron_upper & -top)\n", - "geom = openmc.Geometry([fuel1, absorber, fuel2])" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "For the starting source, we'll use a uniform distribution over the entire box geometry." - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [], - "source": [ - "settings = openmc.Settings()\n", - "spatial_dist = openmc.stats.Box(*geom.bounding_box)\n", - "settings.source = openmc.Source(space=spatial_dist)\n", - "settings.batches = 210\n", - "settings.inactive = 10\n", - "settings.particles = 1000" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Defining the tally is relatively straightforward. One simply needs to list 'flux' as a score and then add an expansion filter. For this case, we will want to use the `SpatialLegendreFilter` class which multiplies tally scores by Legendre polynomials evaluated on normalized spatial positions along an axis." - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [], - "source": [ - "# Create a flux tally\n", - "flux_tally = openmc.Tally()\n", - "flux_tally.scores = ['flux']\n", - "\n", - "# Create a Legendre polynomial expansion filter and add to tally\n", - "order = 8\n", - "expand_filter = openmc.SpatialLegendreFilter(order, 'z', zmin, zmax)\n", - "flux_tally.filters.append(expand_filter)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The last thing we need to do is create a `Tallies` collection and export the entire model, which we'll do using the `Model` convenience class." - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [], - "source": [ - "tallies = openmc.Tallies([flux_tally])\n", - "model = openmc.model.Model(geometry=geom, settings=settings, tallies=tallies)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Running a simulation is now as simple as calling the `run()` method of `Model`." - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [], - "source": [ - "sp_file = model.run(output=False)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now that the run is finished, we need to load the results from the statepoint file." - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [], - "source": [ - "with openmc.StatePoint(sp_file) as sp:\n", - " df = sp.tallies[flux_tally.id].get_pandas_dataframe()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We've used the `get_pandas_dataframe()` method that returns tally data as a Pandas dataframe. Let's see what the raw data looks like." - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
\n", - "\n", - "\n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - "
spatiallegendrenuclidescoremeanstd. dev.
0P0totalflux36.5236010.081540
1P1totalflux-0.0028300.041466
2P2totalflux-4.4119230.027161
3P3totalflux0.0043160.020245
4P4totalflux-0.2772810.014558
5P5totalflux0.0106040.011350
6P6totalflux0.1092120.010280
7P7totalflux-0.0027050.009100
8P8totalflux-0.0884690.007889
\n", - "
" - ], - "text/plain": [ - " spatiallegendre nuclide score mean std. dev.\n", - "0 P0 total flux 3.65e+01 8.15e-02\n", - "1 P1 total flux -2.83e-03 4.15e-02\n", - "2 P2 total flux -4.41e+00 2.72e-02\n", - "3 P3 total flux 4.32e-03 2.02e-02\n", - "4 P4 total flux -2.77e-01 1.46e-02\n", - "5 P5 total flux 1.06e-02 1.13e-02\n", - "6 P6 total flux 1.09e-01 1.03e-02\n", - "7 P7 total flux -2.71e-03 9.10e-03\n", - "8 P8 total flux -8.85e-02 7.89e-03" - ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "df" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Since the expansion coefficients are given as\n", - "\n", - "$$ a_n = \\frac{2n + 1}{2} \\int_{-1}^1 dz' P_n(z') \\phi(z')$$\n", - "\n", - "we just need to multiply the Legendre moments by $(2n + 1)/2$." - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [], - "source": [ - "n = np.arange(order + 1)\n", - "a_n = (2*n + 1)/2 * df['mean']" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "To plot the flux distribution, we can use the `numpy.polynomial.Legendre` class which represents a truncated Legendre polynomial series. Since we really want to plot $\\phi(z)$ and not $\\phi(z')$ we first need to perform a change of variables. Since\n", - "\n", - "$$ \\lvert \\phi(z) dz \\rvert = \\lvert \\phi(z') dz' \\rvert $$\n", - "\n", - "and, for this case, $z = 10z'$, it follows that\n", - "\n", - "$$ \\phi(z) = \\frac{\\phi(z')}{10} = \\sum_{n=0}^N \\frac{a_n}{10} P_n(z'). $$" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [], - "source": [ - "phi = np.polynomial.Legendre(a_n/10, domain=(zmin, zmax))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Let's plot it and see how our flux looks!" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0, 0.5, 'Flux [n/src]')" - ] - }, - "execution_count": 12, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "z = np.linspace(zmin, zmax, 1000)\n", - "plt.plot(z, phi(z))\n", - "plt.xlabel('Z position [cm]')\n", - "plt.ylabel('Flux [n/src]')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "As you might expect, we get a rough cosine shape but with a flux depression in the middle due to the boron slab that we introduced. To get a more accurate distribution, we'd likely need to use a higher order expansion.\n", - "\n", - "One more thing we can do is confirm that integrating the distribution gives us the same value as the first moment (since $P_0(z') = 1$). This can easily be done by numerically integrating using the trapezoidal rule:" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "36.523562389125146" - ] - }, - "execution_count": 13, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "np.trapz(phi(z), z)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "In addition to being able to tally Legendre moments, there are also functional expansion filters available for spherical harmonics (`SphericalHarmonicsFilter`) and Zernike polynomials over a unit disk (`ZernikeFilter`). A separate `LegendreFilter` class can also be used for determining Legendre scattering moments (i.e., an expansion of the scattering cosine, $\\mu$)." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Zernike polynomials\n", - "\n", - "Now let's look at an example of functional expansion tallies using Zernike polynomials as the basis functions.\n", - "\n", - "In this example, we will determine the spatial dependence of the flux along the radial direction $r'$ and $/$ or azimuthal angle $\\theta$ by making a Zernike polynomial expansion. Let us represent the flux along the radial and azimuthal direction, $\\phi(r', \\theta)$, by the function\n", - "\n", - "$$ \\phi(r', \\theta) = \\sum\\limits_{n=0}^N \\sum\\limits_{m=-n}^n a_n^m Z_n^m(r', \n", - "\\theta) $$\n", - "\n", - "where $r'$ is the position normalized to the range [0, r] (r is the radius of cylindrical geometry), and the azimuthal lies within the range [0, $ 2\\pi$]. \n", - "\n", - "Since $Z_n^m(r', \\theta)$ are known functions, we need to determine the expansion coefficients, $a_n^m$. By the orthogonality properties of the Zernike polynomials, one can deduce that the coefficients, $a_n^m$, are given by\n", - "\n", - "$$ a_n^m = k_n^m \\int_{0}^r dr' \\int_{0}^{2\\pi} d\\theta Z_n^m(r',\\theta) \\phi(r', \\theta).$$\n", - "$$ k_n^m = \\frac{2n + 2}{\\pi}, m \\ne 0. $$\n", - "$$ k_n^m = \\frac{n+1}{\\pi}, m = 0.$$\n", - "\n", - "Similarly, the problem reduces to finding the integral of the flux times each Zernike polynomial." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "To begin with, let us first create a simple model. The model will be a pin-cell fuel material with vacuum boundary condition in both radial direction and axial direction." - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, - "outputs": [], - "source": [ - "# Define fuel \n", - "fuel = openmc.Material()\n", - "fuel.add_element('U', 1.0, enrichment=5.0)\n", - "fuel.add_nuclide('O16', 2.0)\n", - "fuel.set_density('g/cm3', 10.0)" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": {}, - "outputs": [], - "source": [ - "# Define surfaces used to construct regions\n", - "zmin, zmax, radius = -1., 1., 0.5 \n", - "pin = openmc.ZCylinder(x0=0.0, y0=0.0, r=radius, boundary_type='vacuum')\n", - "bottom = openmc.ZPlane(z0=zmin, boundary_type='vacuum')\n", - "top = openmc.ZPlane(z0=zmax, boundary_type='vacuum')\n", - "\n", - "# Create three cells and add them to geometry\n", - "fuel = openmc.Cell(fill=fuel, region= -pin & +bottom & -top)\n", - "geom = openmc.Geometry([fuel])" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "For the starting source, we'll use a uniform distribution over the entire box geometry." - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": {}, - "outputs": [], - "source": [ - "settings = openmc.Settings()\n", - "spatial_dist = openmc.stats.Box(*geom.bounding_box)\n", - "settings.source = openmc.Source(space=spatial_dist)\n", - "settings.batches = 100\n", - "settings.inactive = 20\n", - "settings.particles = 100000" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Defining the tally is relatively straightforward. One simply needs to list 'flux' as a score and then add an expansion filter. For this case, we will want to use the `SpatialLegendreFilter`, `ZernikeFilter`, `ZernikeRadialFilter` classes which multiplies tally scores by Legendre, azimuthal Zernike and radial-only Zernike polynomials evaluated on normalized spatial positions along radial and axial directions." - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": {}, - "outputs": [], - "source": [ - "# Create a flux tally\n", - "flux_tally_legendre = openmc.Tally()\n", - "flux_tally_legendre.scores = ['flux']\n", - "\n", - "# Create a Legendre polynomial expansion filter and add to tally\n", - "order = 10\n", - "cell_filter = openmc.CellFilter(fuel)\n", - "legendre_filter = openmc.SpatialLegendreFilter(order, 'z', zmin, zmax)\n", - "flux_tally_legendre.filters = [cell_filter, legendre_filter]\n", - "\n", - "# Create a Zernike azimuthal polynomial expansion filter and add to tally \n", - "flux_tally_zernike = openmc.Tally()\n", - "flux_tally_zernike.scores = ['flux']\n", - "zernike_filter = openmc.ZernikeFilter(order=order, x=0.0, y=0.0, r=radius)\n", - "flux_tally_zernike.filters = [cell_filter, zernike_filter]\n", - "\n", - "# Create a Zernike radial polynomial expansion filter and add to tally \n", - "flux_tally_zernike1d = openmc.Tally()\n", - "flux_tally_zernike1d.scores = ['flux']\n", - "zernike1d_filter = openmc.ZernikeRadialFilter(order=order, x=0.0, y=0.0, r=radius)\n", - "flux_tally_zernike1d.filters = [cell_filter, zernike1d_filter]\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The last thing we need to do is create a `Tallies` collection and export the entire model, which we'll do using the `Model` convenience class." - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": {}, - "outputs": [], - "source": [ - "tallies = openmc.Tallies([flux_tally_legendre, flux_tally_zernike, flux_tally_zernike1d])\n", - "model = openmc.model.Model(geometry=geom, settings=settings, tallies=tallies)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Running a simulation is now as simple as calling the `run()` method of `Model`." - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "metadata": {}, - "outputs": [], - "source": [ - "sp_file = model.run(output=False)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now that the run is finished, we need to load the results from the statepoint file." - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "metadata": {}, - "outputs": [], - "source": [ - "with openmc.StatePoint(sp_file) as sp:\n", - " df1 = sp.tallies[flux_tally_legendre.id].get_pandas_dataframe()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We've used the `get_pandas_dataframe()` method that returns tally data as a Pandas dataframe. Let's see what the raw data looks like." - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
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cellspatiallegendrenuclidescoremeanstd. dev.
04P0totalflux0.5434250.000599
14P1totalflux0.0006350.000523
24P2totalflux-0.0559890.000342
34P3totalflux-0.0000530.000284
44P4totalflux-0.0007490.000230
54P5totalflux0.0001110.000149
64P6totalflux-0.0006920.000177
74P7totalflux-0.0000640.000152
84P8totalflux-0.0001390.000142
94P9totalflux0.0002010.000119
104P10totalflux-0.0000510.000112
\n", - "
" - ], - "text/plain": [ - " cell spatiallegendre nuclide score mean std. dev.\n", - "0 4 P0 total flux 5.43e-01 5.99e-04\n", - "1 4 P1 total flux 6.35e-04 5.23e-04\n", - "2 4 P2 total flux -5.60e-02 3.42e-04\n", - "3 4 P3 total flux -5.27e-05 2.84e-04\n", - "4 4 P4 total flux -7.49e-04 2.30e-04\n", - "5 4 P5 total flux 1.11e-04 1.49e-04\n", - "6 4 P6 total flux -6.92e-04 1.77e-04\n", - "7 4 P7 total flux -6.41e-05 1.52e-04\n", - "8 4 P8 total flux -1.39e-04 1.42e-04\n", - "9 4 P9 total flux 2.01e-04 1.19e-04\n", - "10 4 P10 total flux -5.05e-05 1.12e-04" - ] - }, - "execution_count": 21, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "df1" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Since the scaling factors for expansion coefficients will be provided by the Python API, thus, we do not need to multiply the moments by scaling factors." - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "metadata": {}, - "outputs": [], - "source": [ - "a_n = df1['mean']" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Loading the coefficients is realized via calling the OpenMC Python API as follows:" - ] - }, - { - "cell_type": "code", - "execution_count": 23, - "metadata": {}, - "outputs": [], - "source": [ - "phi = openmc.legendre_from_expcoef(a_n, domain=(zmin, zmax))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Let's plot it and see how our flux looks!" - ] - }, - { - "cell_type": "code", - "execution_count": 24, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0, 0.5, 'Flux [n/src]')" - ] - }, - "execution_count": 24, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "z = np.linspace(zmin, zmax, 1000)\n", - "plt.plot(z, phi(z))\n", - "plt.xlabel('Z position [cm]')\n", - "plt.ylabel('Flux [n/src]')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "A rough cosine shape is obtained. \n", - "One can also numerically integrate the function using the trapezoidal rule." - ] - }, - { - "cell_type": "code", - "execution_count": 25, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "0.543424143829605" - ] - }, - "execution_count": 25, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "np.trapz(phi(z), z)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The following cases show how to reconstruct the flux distribution Zernike polynomials tallied results." - ] - }, - { - "cell_type": "code", - "execution_count": 26, - "metadata": {}, - "outputs": [], - "source": [ - "with openmc.StatePoint(sp_file) as sp:\n", - " df2 = sp.tallies[flux_tally_zernike.id].get_pandas_dataframe()" - ] - }, - { - "cell_type": "code", - "execution_count": 27, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
\n", - "\n", - "\n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - "
cellzernikenuclidescoremeanstd. dev.
04Z0,0totalflux0.5434250.000599
14Z1,-1totalflux-0.0002360.000398
24Z1,1totalflux0.0001260.000325
34Z2,-2totalflux-0.0001040.000206
44Z2,0totalflux-0.0642910.000404
.....................
614Z10,2totalflux-0.0001300.000099
624Z10,4totalflux-0.0000570.000092
634Z10,6totalflux-0.0000480.000109
644Z10,8totalflux-0.0000560.000092
654Z10,10totalflux-0.0000460.000098
\n", - "

66 rows × 6 columns

\n", - "
" - ], - "text/plain": [ - " cell zernike nuclide score mean std. dev.\n", - "0 4 Z0,0 total flux 5.43e-01 5.99e-04\n", - "1 4 Z1,-1 total flux -2.36e-04 3.98e-04\n", - "2 4 Z1,1 total flux 1.26e-04 3.25e-04\n", - "3 4 Z2,-2 total flux -1.04e-04 2.06e-04\n", - "4 4 Z2,0 total flux -6.43e-02 4.04e-04\n", - ".. ... ... ... ... ... ...\n", - "61 4 Z10,2 total flux -1.30e-04 9.86e-05\n", - "62 4 Z10,4 total flux -5.70e-05 9.21e-05\n", - "63 4 Z10,6 total flux -4.79e-05 1.09e-04\n", - "64 4 Z10,8 total flux -5.59e-05 9.23e-05\n", - "65 4 Z10,10 total flux -4.58e-05 9.76e-05\n", - "\n", - "[66 rows x 6 columns]" - ] - }, - "execution_count": 27, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "df2" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Let's plot the flux in radial direction with specific azimuthal angle ($\\theta = 0.0$)." - ] - }, - { - "cell_type": "code", - "execution_count": 28, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0, 0.5, 'Flux')" - ] - }, - "execution_count": 28, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "z_n = df2['mean'] \n", - "zz = openmc.Zernike(z_n, radius)\n", - "rr = np.linspace(0, radius, 100)\n", - "plt.plot(rr, zz(rr, 0.0)) \n", - "plt.xlabel('Radial position [cm]')\n", - "plt.ylabel('Flux')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "A polar figure with all azimuthal can be plotted like this:" - ] - }, - { - "cell_type": "code", - "execution_count": 29, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "z_n = df2['mean']\n", - "zz = openmc.Zernike(z_n, radius=radius) \n", - "#\n", - "# Using linspace so that the endpoint of 360 is included...\n", - "azimuths = np.radians(np.linspace(0, 360, 50))\n", - "zeniths = np.linspace(0, radius, 100)\n", - "r, theta = np.meshgrid(zeniths, azimuths)\n", - "values = zz(zeniths, azimuths)\n", - "fig, ax = plt.subplots(subplot_kw=dict(projection='polar'))\n", - "ax.contourf(theta, r, values, cmap='jet')\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Sometimes, we just need the radial-only Zernike polynomial tallied flux distribution. \n", - "Let us extract the tallied coefficients first." - ] - }, - { - "cell_type": "code", - "execution_count": 30, - "metadata": {}, - "outputs": [], - "source": [ - "with openmc.StatePoint(sp_file) as sp:\n", - " df3 = sp.tallies[flux_tally_zernike1d.id].get_pandas_dataframe()" - ] - }, - { - "cell_type": "code", - "execution_count": 31, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
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cellzernikeradialnuclidescoremeanstd. dev.
04Z0,0totalflux0.5434250.000599
14Z2,0totalflux-0.0642910.000404
24Z4,0totalflux-0.0006010.000223
34Z6,0totalflux-0.0004540.000227
44Z8,0totalflux-0.0000110.000166
54Z10,0totalflux-0.0001020.000161
\n", - "
" - ], - "text/plain": [ - " cell zernikeradial nuclide score mean std. dev.\n", - "0 4 Z0,0 total flux 5.43e-01 5.99e-04\n", - "1 4 Z2,0 total flux -6.43e-02 4.04e-04\n", - "2 4 Z4,0 total flux -6.01e-04 2.23e-04\n", - "3 4 Z6,0 total flux -4.54e-04 2.27e-04\n", - "4 4 Z8,0 total flux -1.15e-05 1.66e-04\n", - "5 4 Z10,0 total flux -1.02e-04 1.61e-04" - ] - }, - "execution_count": 31, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "df3" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "A plot along with r-axis is also done." - ] - }, - { - "cell_type": "code", - "execution_count": 32, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0, 0.5, 'Flux')" - ] - }, - "execution_count": 32, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "z_n = df3['mean'] \n", - "zz = openmc.ZernikeRadial(z_n, radius=radius)\n", - "rr = np.linspace(0, radius, 50)\n", - "plt.plot(rr, zz(rr)) \n", - "plt.xlabel('Radial position [cm]')\n", - "plt.ylabel('Flux')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Similarly, we can also re-construct the polar figure based on radial-only Zernike polinomial coefficients. " - ] - }, - { - "cell_type": "code", - "execution_count": 33, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "z_n = df3['mean'] \n", - "zz = openmc.ZernikeRadial(z_n, radius=radius)\n", - "azimuths = np.radians(np.linspace(0, 360, 50))\n", - "zeniths = np.linspace(0, radius, 100)\n", - "r, theta = np.meshgrid(zeniths, azimuths)\n", - "values = [[i for i in zz(zeniths)] for j in range(len(azimuths))]\n", - "fig, ax = plt.subplots(subplot_kw=dict(projection='polar'), figsize=(6,6))\n", - "ax.contourf(theta, r, values, cmap='jet')\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Based on Legendre polynomial coefficients and the azimuthal or radial-only Zernike coefficient, it's possible to reconstruct the flux both on radial and axial directions. " - ] - }, - { - "cell_type": "code", - "execution_count": 34, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 34, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "# Reconstruct 3-D flux based on radial only Zernike and Legendre polynomials\n", - "z_n = df3['mean'] \n", - "zz = openmc.ZernikeRadial(z_n, radius=radius)\n", - "azimuths = np.radians(np.linspace(0, 360, 100)) # azimuthal mesh \n", - "zeniths = np.linspace(0, radius, 100) # radial mesh \n", - "zmin, zmax = -1.0, 1.0 \n", - "z = np.linspace(zmin, zmax, 100) # axial mesh \n", - "# \n", - "# flux = np.matmul(np.matrix(phi(z)).transpose(), np.matrix(zz(zeniths))) \n", - "# flux = np.array(flux) # change np.matrix to np.array\n", - "# np.matrix is not recommended for use anymore\n", - "flux = np.array([phi(z)]).T @ np.array([zz(zeniths)])\n", - "#\n", - "plt.figure(figsize=(5,10))\n", - "plt.title('Flux distribution')\n", - "plt.xlabel('Radial Position [cm]')\n", - "plt.ylabel('Axial Height [cm]')\n", - "plt.pcolor(zeniths, z, flux, cmap='jet')\n", - "plt.colorbar()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "One can also reconstruct the 3D flux distribution based on Legendre and Zernike polynomial tallied coefficients." - ] - }, - { - "cell_type": "code", - "execution_count": 35, - "metadata": {}, - "outputs": [], - "source": [ - "# Define needed function first \n", - "def cart2pol(x, y):\n", - " rho = np.sqrt(x**2 + y**2)\n", - " phi = np.arctan2(y, x)\n", - " return(rho, phi)\n", - "\n", - "# Reconstruct 3-D flux based on azimuthal Zernike and Legendre polynomials\n", - "z_n = df2['mean']\n", - "zz = openmc.Zernike(z_n, radius=radius) \n", - "#\n", - "xstep = 2.0*radius/20\n", - "hstep = (zmax - zmin)/20\n", - "x = np.linspace(-radius, radius, 50)\n", - "x = np.array(x)\n", - "[X,Y] = np.meshgrid(x,x)\n", - "h = np.linspace(zmin, zmax, 50)\n", - "h = np.array(h)\n", - "[r, theta] = cart2pol(X,Y)\n", - "flux3d = np.zeros((len(x), len(x), len(h)))\n", - "flux3d.fill(np.nan)\n", - "#\n", - "for i in range(len(x)):\n", - " for j in range(len(x)):\n", - " if r[i][j]<=radius:\n", - " for k in range(len(h)):\n", - " flux3d[i][j][k] = phi(h[k]) * zz(r[i][j], theta[i][j])" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Let us print out with VTK format." - ] - }, - { - "cell_type": "code", - "execution_count": 36, - "metadata": {}, - "outputs": [], - "source": [ - "# You'll need to install pyevtk as a prerequisite\n", - "from pyevtk.hl import gridToVTK\n", - "import numpy as np\n", - "#\n", - "# Dimensions\n", - "nx, ny, nz = len(x), len(x), len(h)\n", - "lx, ly, lz = 2.0*radius, 2.0*radius, (zmax-zmin)\n", - "dx, dy, dz = lx/nx, ly/ny, lz/nz\n", - "#\n", - "ncells = nx * ny * nz\n", - "npoints = (nx + 1) * (ny + 1) * (nz + 1)\n", - "#\n", - "# Coordinates\n", - "x = np.arange(0, lx + 0.1*dx, dx, dtype='float64')\n", - "y = np.arange(0, ly + 0.1*dy, dy, dtype='float64')\n", - "z = np.arange(0, lz + 0.1*dz, dz, dtype='float64')\n", - "# Print out \n", - "path = gridToVTK(\"./rectilinear\", x, y, z, cellData = {\"flux3d\" : flux3d})" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Use VisIt or ParaView to plot it as you want. Then, the plot can be loaded and shown as follows." - ] - }, - { - "cell_type": "code", - "execution_count": 37, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 37, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "f1 = plt.imread('./images/flux3d.png')\n", - "plt.imshow(f1, cmap='jet')" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.8.3" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/examples/jupyter/hexagonal-lattice.ipynb b/examples/jupyter/hexagonal-lattice.ipynb deleted file mode 100644 index 07c3ab834..000000000 --- a/examples/jupyter/hexagonal-lattice.ipynb +++ /dev/null @@ -1,411 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Modeling Hexagonal Lattices\n", - "In this example, we will create a hexagonal lattice and show how the orientation can be changed via the cell rotation property. Let's first just set up some materials and universes that we will use to fill the lattice." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "%matplotlib inline\n", - "import openmc" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "fuel = openmc.Material(name='fuel')\n", - "fuel.add_nuclide('U235', 1.0)\n", - "fuel.set_density('g/cm3', 10.0)\n", - "\n", - "fuel2 = openmc.Material(name='fuel2')\n", - "fuel2.add_nuclide('U238', 1.0)\n", - "fuel2.set_density('g/cm3', 10.0)\n", - "\n", - "water = openmc.Material(name='water')\n", - "water.add_nuclide('H1', 2.0)\n", - "water.add_nuclide('O16', 1.0)\n", - "water.set_density('g/cm3', 1.0)\n", - "\n", - "materials = openmc.Materials((fuel, fuel2, water))\n", - "materials.export_to_xml()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "With our three materials, we will set up two universes that represent pin-cells: one with a small pin and one with a big pin. Since we will be using these universes in a lattice, it's always a good idea to have an \"outer\" universe as well that is applied outside the defined lattice." - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], - "source": [ - "r_pin = openmc.ZCylinder(r=0.25)\n", - "fuel_cell = openmc.Cell(fill=fuel, region=-r_pin)\n", - "water_cell = openmc.Cell(fill=water, region=+r_pin)\n", - "pin_universe = openmc.Universe(cells=(fuel_cell, water_cell))\n", - "\n", - "r_big_pin = openmc.ZCylinder(r=0.5)\n", - "fuel2_cell = openmc.Cell(fill=fuel2, region=-r_big_pin)\n", - "water2_cell = openmc.Cell(fill=water, region=+r_big_pin)\n", - "big_pin_universe = openmc.Universe(cells=(fuel2_cell, water2_cell))\n", - "\n", - "all_water_cell = openmc.Cell(fill=water)\n", - "outer_universe = openmc.Universe(cells=(all_water_cell,))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now let's create a hexagonal lattice using the `HexLattice` class:" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [], - "source": [ - "lattice = openmc.HexLattice()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We need to set the `center` of the lattice, the `pitch`, an `outer` universe (which is applied to all lattice elements outside of those that are defined), and a list of `universes`. Let's start with the easy ones first. Note that for a 2D lattice, we only need to specify a single number for the pitch." - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [], - "source": [ - "lattice.center = (0., 0.)\n", - "lattice.pitch = (1.25,)\n", - "lattice.outer = outer_universe" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now we need to set the `universes` property on our lattice. It needs to be set to a list of lists of Universes, where each list of Universes corresponds to a ring of the lattice. The rings are ordered from outermost to innermost, and within each ring the indexing starts at the \"top\". To help visualize the proper indices, we can use the `show_indices()` helper method." - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - " (0, 0)\n", - " (0,17) (0, 1)\n", - " (0,16) (1, 0) (0, 2)\n", - "(0,15) (1,11) (1, 1) (0, 3)\n", - " (1,10) (2, 0) (1, 2)\n", - "(0,14) (2, 5) (2, 1) (0, 4)\n", - " (1, 9) (3, 0) (1, 3)\n", - "(0,13) (2, 4) (2, 2) (0, 5)\n", - " (1, 8) (2, 3) (1, 4)\n", - "(0,12) (1, 7) (1, 5) (0, 6)\n", - " (0,11) (1, 6) (0, 7)\n", - " (0,10) (0, 8)\n", - " (0, 9)\n" - ] - } - ], - "source": [ - "print(lattice.show_indices(num_rings=4))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Let's set up a lattice where the first element in each ring is the big pin universe and all other elements are regular pin universes. \n", - "\n", - "From the diagram above, we see that the outer ring has 18 elements, the first ring has 12, and the second ring has 6 elements. The innermost ring of any hexagonal lattice will have only a single element. \n", - "\n", - "We build these rings through 'list concatenation' as follows: " - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [], - "source": [ - "outer_ring = [big_pin_universe] + [pin_universe]*17 # Adds up to 18\n", - "\n", - "ring_1 = [big_pin_universe] + [pin_universe]*11 # Adds up to 12\n", - "\n", - "ring_2 = [big_pin_universe] + [pin_universe]*5 # Adds up to 6\n", - "\n", - "inner_ring = [big_pin_universe]" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We can now assign the rings (and the universes they contain) to our lattice. " - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "HexLattice\n", - "\tID =\t4\n", - "\tName =\t\n", - "\tOrientation =\ty\n", - "\t# Rings =\t4\n", - "\t# Axial =\tNone\n", - "\tCenter =\t(0.0, 0.0)\n", - "\tPitch =\t(1.25,)\n", - "\tOuter =\t3\n", - "\tUniverses \n", - " 2\n", - " 1 1\n", - " 1 2 1\n", - "1 1 1 1\n", - " 1 2 1\n", - "1 1 1 1\n", - " 1 2 1\n", - "1 1 1 1\n", - " 1 1 1\n", - "1 1 1 1\n", - " 1 1 1\n", - " 1 1\n", - " 1\n" - ] - } - ], - "source": [ - "lattice.universes = [outer_ring, \n", - " ring_1, \n", - " ring_2,\n", - " inner_ring]\n", - "print(lattice)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now let's put our lattice inside a circular cell that will serve as the top-level cell for our geometry." - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [], - "source": [ - "outer_surface = openmc.ZCylinder(r=5.0, boundary_type='vacuum')\n", - "main_cell = openmc.Cell(fill=lattice, region=-outer_surface)\n", - "geometry = openmc.Geometry([main_cell])\n", - "geometry.export_to_xml()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now let's create a plot to see what our geometry looks like." - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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\n", - "text/plain": [ - "" - ] - }, - "execution_count": 10, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "plot = openmc.Plot.from_geometry(geometry)\n", - "plot.color_by = 'material'\n", - "plot.colors = colors = {\n", - " water: 'blue',\n", - " fuel: 'olive',\n", - " fuel2: 'yellow'\n", - "}\n", - "plot.to_ipython_image()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "At this point, if we wanted to simulate the model, we would need to create an instance of `openmc.Settings`, export it to XML, and run." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Lattice orientation\n", - "\n", - "Now let's say we want our hexagonal lattice orientated such that two sides of the lattice are parallel to the x-axis. This can be achieved by two means: either we can rotate the cell that contains the lattice, or we can can change the `HexLattice.orientation` attribute. By default, the `orientation` is set to \"y\", indicating that two sides of the lattice are parallel to the y-axis, but we can also change it to \"x\" to make them parallel to the x-axis." - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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\n", - "text/plain": [ - "" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# Change the orientation of the lattice and re-export the geometry\n", - "lattice.orientation = 'x'\n", - "geometry.export_to_xml()\n", - "\n", - "# Run OpenMC in plotting mode\n", - "plot.to_ipython_image()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "When we change the orientation to 'x', you can see that the first universe in each ring starts to the right along the x-axis. As before, the universes are defined in a clockwise fashion around each ring. To see the proper indices for a hexagonal lattice in this orientation, we can again call `show_indices` but pass an extra orientation argument:" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - " (0,12) (0,13) (0,14) (0,15)\n", - "\n", - " (0,11) (1, 8) (1, 9) (1,10) (0,16)\n", - "\n", - " (0,10) (1, 7) (2, 4) (2, 5) (1,11) (0,17)\n", - "\n", - "(0, 9) (1, 6) (2, 3) (3, 0) (2, 0) (1, 0) (0, 0)\n", - "\n", - " (0, 8) (1, 5) (2, 2) (2, 1) (1, 1) (0, 1)\n", - "\n", - " (0, 7) (1, 4) (1, 3) (1, 2) (0, 2)\n", - "\n", - " (0, 6) (0, 5) (0, 4) (0, 3)\n" - ] - } - ], - "source": [ - "print(lattice.show_indices(4, orientation='x'))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Hexagonal prisms\n", - "\n", - "OpenMC also contains a convenience function that can create a hexagonal prism representing the interior region of six surfaces defining a hexagon. This can be useful as a bounding surface of a hexagonal lattice. For example, if we wanted the outer boundary of our geometry to be hexagonal, we could change the `region` of the main cell:" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "execution_count": 13, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "main_cell.region = openmc.model.hexagonal_prism(\n", - " edge_length=4*lattice.pitch[0],\n", - " orientation='x',\n", - " boundary_type='vacuum'\n", - ")\n", - "geometry.export_to_xml()\n", - "\n", - "# Run OpenMC in plotting mode\n", - "plot.color_by = 'cell'\n", - "plot.to_ipython_image()" - ] - } - ], - "metadata": { - "anaconda-cloud": {}, - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.8.3" - } - }, - "nbformat": 4, - "nbformat_minor": 1 -} diff --git a/examples/jupyter/images/cylinder_mesh.png b/examples/jupyter/images/cylinder_mesh.png deleted file mode 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