From 8f085295510124cd27a3ebc87917d04b76e8d40e Mon Sep 17 00:00:00 2001 From: Adam Nelson Date: Thu, 9 Mar 2017 09:20:42 -0500 Subject: [PATCH] removed unneeded notebooks, allowed openmc.Settings.max_order to take a None parameter, and revised notebooks according to comments from @paulromano, @wbinventor and @smharper. --- docs/source/examples/index.rst | 12 +- docs/source/examples/mdgxs-part-i.rst | 6 +- docs/source/examples/mdgxs-part-ii.rst | 6 +- docs/source/examples/mg-mode-part-i.ipynb | 103 +- docs/source/examples/mg-mode-part-ii.ipynb | 134 +- docs/source/examples/mg-mode-part-iii.ipynb | 95 +- docs/source/examples/mgxs-part-iv.ipynb | 1345 ------------------- docs/source/examples/mgxs-part-iv.rst | 13 - docs/source/pythonapi/index.rst | 13 +- openmc/settings.py | 8 +- 10 files changed, 198 insertions(+), 1537 deletions(-) delete mode 100644 docs/source/examples/mgxs-part-iv.ipynb delete mode 100644 docs/source/examples/mgxs-part-iv.rst diff --git a/docs/source/examples/index.rst b/docs/source/examples/index.rst index 4503dcfd4..c1117b463 100644 --- a/docs/source/examples/index.rst +++ b/docs/source/examples/index.rst @@ -1,13 +1,13 @@ .. _examples: -========================= -Example Jupyter Notebooks -========================= +================= +Example Notebooks +================= -The following series of Jupyter Notebooks provide examples for usage of OpenMC -features via the `Python API`_. +The following series of Jupyter_ Notebooks provide examples for usage of OpenMC +features via the :ref:`pythonapi`. -.. _Python API: ../pythonapi/index.html +.. _Jupyter: https://jupyter.org/ .. toctree:: :maxdepth: 1 diff --git a/docs/source/examples/mdgxs-part-i.rst b/docs/source/examples/mdgxs-part-i.rst index 953dcf470..260a7d042 100644 --- a/docs/source/examples/mdgxs-part-i.rst +++ b/docs/source/examples/mdgxs-part-i.rst @@ -1,8 +1,8 @@ .. _notebook_mdgxs_part_i: -========================== -MDGXS Part I: Introduction -========================== +=================================================================== +Multi-Group (Delayed) Cross Section Generation Part I: Introduction +=================================================================== .. only:: html diff --git a/docs/source/examples/mdgxs-part-ii.rst b/docs/source/examples/mdgxs-part-ii.rst index a42eb766b..0f1350bd2 100644 --- a/docs/source/examples/mdgxs-part-ii.rst +++ b/docs/source/examples/mdgxs-part-ii.rst @@ -1,8 +1,8 @@ .. _notebook_mdgxs_part_ii: -================================ -MDGXS Part II: Advanced Features -================================ +========================================================================= +Multi-Group (Delayed) Cross Section Generation Part II: Advanced Features +========================================================================= .. only:: html diff --git a/docs/source/examples/mg-mode-part-i.ipynb b/docs/source/examples/mg-mode-part-i.ipynb index dbfabf366..1affe5e28 100644 --- a/docs/source/examples/mg-mode-part-i.ipynb +++ b/docs/source/examples/mg-mode-part-i.ipynb @@ -37,18 +37,18 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "We will now create the multi-group library using data directly from Appendix A of the C5G7 benchmark documentation. All of the data below will be created at 294K, consistent with the benchmark.\n", + "We will now create the multi-group library using data directly from Appendix A of the [C5G7](https://www.oecd-nea.org/science/docs/2003/nsc-doc2003-16.pdf) benchmark documentation. All of the data below will be created at 294K, consistent with the benchmark.\n", "\n", - "This notebook will first begin by setting the group structure and building the data for UO2.\n", + "This notebook will first begin by setting the group structure and building the groupwise data for UO2. As you can see, the cross sections are input in the order of increasing groups (or decreasing energy).\n", "\n", - "*Note*: Most users familiar with deterministic transport libraries are already familiar with the idea of entering one scattering matrix for every order (i.e. scattering order as the outer dimension). However, the shape of OpenMC's scattering matrix entry is instead [Incoming groups, Outgoing Groups, Scattering Order] to best enable other scattering representations. We will follow the more familiar approach in this notebook, and then use numpy's `numpy.rollaxis` function to change the ordering to what we need (scattering order on the inner dimension).\n" + "*Note*: The C5G7 benchmark uses transport-corrected cross sections. So the total cross section we input here will technically be the transport cross section." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { - "collapsed": false + "collapsed": true }, "outputs": [], "source": [ @@ -71,10 +71,28 @@ " 4.334208E-2, 2.020901E-1, 5.257105E-1], temperature=294.)\n", "\n", "uo2_xsdata.set_chi([5.87910E-1, 4.11760E-1, 3.39060E-4, 1.17610E-7,\n", - " 0.00000E-0, 0.00000E-0, 0.00000E-0], temperature=294.)\n", + " 0.00000E-0, 0.00000E-0, 0.00000E-0], temperature=294.)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We will now add the scattering matrix data. \n", "\n", + "*Note*: Most users familiar with deterministic transport libraries are already familiar with the idea of entering one scattering matrix for every order (i.e. scattering order as the outer dimension). However, the shape of OpenMC's scattering matrix entry is instead [Incoming groups, Outgoing Groups, Scattering Order] to best enable other scattering representations. We will follow the more familiar approach in this notebook, and then use numpy's `numpy.rollaxis` function to change the ordering to what we need (scattering order on the inner dimension)." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ "# The scattering matrix is ordered with incoming groups as rows and outgoing groups as columns\n", - "# (i.e., above the diagonal is up-scattering).\n", + "# (i.e., below the diagonal is up-scattering).\n", "scatter_matrix = \\\n", " [[[1.27537E-1, 4.23780E-2, 9.43740E-6, 5.51630E-9, 0.00000E-0, 0.00000E-0, 0.00000E-0],\n", " [0.00000E-0, 3.24456E-1, 1.63140E-3, 3.14270E-9, 0.00000E-0, 0.00000E-0, 0.00000E-0],\n", @@ -101,7 +119,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 4, "metadata": { "collapsed": true }, @@ -130,9 +148,9 @@ "source": [ "To build the actual 2-D model, we will first begin by creating the `materials.xml` file.\n", "\n", - "First we need to define materials that will be used in the problem. In other notebooks, either `openmc.Nuclides` or `openmc.Elements` were created at the equivalent stage. We can do that in multi-group mode as well. However, multi-group cross-sections are sometimes provided as macroscopic cross-sections; the C5G7 benchmark data are macroscopic. In this case, we can instead use `openmc.Macroscopic` objects to in-place of `openmc.Nuclides` or `openmc.Elements`.\n", + "First we need to define materials that will be used in the problem. In other notebooks, either `openmc.Nuclide`s or `openmc.Element`s were created at the equivalent stage. We can do that in multi-group mode as well. However, multi-group cross-sections are sometimes provided as macroscopic cross-sections; the C5G7 benchmark data are macroscopic. In this case, we can instead use `openmc.Macroscopic` objects to in-place of `openmc.Nuclide` or `openmc.Element` objects.\n", "\n", - "`openmc.Macroscopic`, unlike `openmc.Nuclides` and `openmc.Elements` objects, do not need to be provided enough information to calculate number densities, as no number densities are needed.\n", + "`openmc.Macroscopic`, unlike `openmc.Nuclide` and `openmc.Element` objects, do not need to be provided enough information to calculate number densities, as no number densities are needed.\n", "\n", "When assigning `openmc.Macroscopic` objects to `openmc.Material` objects, the density can still be scaled by setting the density to a value that is not 1.0. This would be useful, for example, when slightly perturbing the density of water due to a small change in temperature (while of course ignoring any resultant spectral shift). The density of a macroscopic dataset is set to 1.0 in the `openmc.Material` object by default when an `openmc.Macroscopic` dataset is used; so we will show its use the first time and then afterwards it will not be required.\n", "\n", @@ -141,7 +159,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 5, "metadata": { "collapsed": false }, @@ -152,7 +170,7 @@ "for xs in ['uo2', 'mox43', 'mox7', 'mox87', 'fiss_chamber', 'guide_tube', 'water']:\n", " materials[xs] = openmc.Material(name=xs)\n", " materials[xs].set_density('macro', 1.)\n", - " materials[xs].add_macroscopic(openmc.Macroscopic(xs))" + " materials[xs].add_macroscopic(xs)" ] }, { @@ -164,7 +182,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 6, "metadata": { "collapsed": true }, @@ -190,7 +208,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 7, "metadata": { "collapsed": false }, @@ -232,7 +250,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 8, "metadata": { "collapsed": false }, @@ -335,7 +353,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 9, "metadata": { "collapsed": false }, @@ -379,16 +397,16 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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SOKlybBzAkzX6NwPYDABzT1thdSCEkO5p+7ZiWWX3gwAeKbZvArC2eGvxPgDP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\nAABJRU5ErkJggg==\n", 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -409,15 +427,14 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Create Geometry and set root Universe\n", - "geometry = openmc.Geometry()\n", - "geometry.root_universe = root_universe\n", + "geometry = openmc.Geometry(root_universe)\n", "\n", "# Export to \"geometry.xml\"\n", "geometry.export_to_xml()" @@ -432,7 +449,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 12, "metadata": { "collapsed": true }, @@ -473,7 +490,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 13, "metadata": { "collapsed": false }, @@ -517,7 +534,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 14, "metadata": { "collapsed": false }, @@ -555,8 +572,8 @@ " Copyright | 2011-2017 Massachusetts Institute of Technology\n", " License | http://openmc.readthedocs.io/en/latest/license.html\n", " Version | 0.8.0\n", - " Git SHA1 | 6d1115aec2619254c38e95ac2e29b5eef1c809e9\n", - " Date/Time | 2017-03-06 20:46:35\n", + " Git SHA1 | 966169de084fcfda3a5aaca3edc0065c8caf6bbc\n", + " Date/Time | 2017-03-09 08:18:02\n", " OpenMP Threads | 8\n", "\n", " Reading settings XML file...\n", @@ -581,20 +598,20 @@ "\n", " =======================> TIMING STATISTICS <=======================\n", "\n", - " Total time for initialization = 9.7265E-02 seconds\n", - " Reading cross sections = 2.7582E-02 seconds\n", - " Total time in simulation = 7.7964E+00 seconds\n", - " Time in transport only = 7.7309E+00 seconds\n", - " Time in inactive batches = 1.7644E+00 seconds\n", - " Time in active batches = 6.0320E+00 seconds\n", - " Time synchronizing fission bank = 1.4392E-02 seconds\n", - " Sampling source sites = 1.0188E-02 seconds\n", - " SEND/RECV source sites = 4.0621E-03 seconds\n", - " Time accumulating tallies = 4.4249E-04 seconds\n", - " Total time for finalization = 1.6782E-02 seconds\n", - " Total time elapsed = 7.9263E+00 seconds\n", - " Calculation Rate (inactive) = 1.41694E+05 neutrons/second\n", - " Calculation Rate (active) = 82891.0 neutrons/second\n", + " Total time for initialization = 1.3630E-01 seconds\n", + " Reading cross sections = 3.0827E-02 seconds\n", + " Total time in simulation = 8.9648E+00 seconds\n", + " Time in transport only = 8.2752E+00 seconds\n", + " Time in inactive batches = 2.4798E+00 seconds\n", + " Time in active batches = 6.4849E+00 seconds\n", + " Time synchronizing fission bank = 1.4553E-02 seconds\n", + " Sampling source sites = 1.0318E-02 seconds\n", + " SEND/RECV source sites = 4.0840E-03 seconds\n", + " Time accumulating tallies = 4.2427E-04 seconds\n", + " Total time for finalization = 1.7081E-02 seconds\n", + " Total time elapsed = 9.1340E+00 seconds\n", + " Calculation Rate (inactive) = 1.00813E+05 neutrons/second\n", + " Calculation Rate (active) = 77101.8 neutrons/second\n", "\n", " ============================> RESULTS <============================\n", "\n", @@ -612,7 +629,7 @@ "0" ] }, - "execution_count": 13, + "execution_count": 14, "metadata": {}, "output_type": "execute_result" } @@ -633,7 +650,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 15, "metadata": { "collapsed": false }, @@ -642,7 +659,7 @@ "data": { "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, diff --git a/docs/source/examples/mg-mode-part-ii.ipynb b/docs/source/examples/mg-mode-part-ii.ipynb index d9a96f12f..9a41f0f35 100644 --- a/docs/source/examples/mg-mode-part-ii.ipynb +++ b/docs/source/examples/mg-mode-part-ii.ipynb @@ -246,7 +246,7 @@ "universes = np.empty((17, 17), dtype=openmc.Universe)\n", "\n", "# Fill the array with the fuel pin and guide tube universes\n", - "universes[:,:] = fuel_pin_universe\n", + "universes[:, :] = fuel_pin_universe\n", "universes[template_x, template_y] = guide_tube_universe\n", "\n", "# Store the array of universes in the lattice\n", @@ -296,9 +296,9 @@ "outputs": [ { "data": { - "image/png": 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SBFslbEKCrTF+upqLMfF3/bQQfy4bS/zQXyRqTvEP2VjHWYjZfwOJLVdO1cL0LRWuZbPZ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\nWUtMmFsYZiH1nJY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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -326,9 +326,9 @@ }, "outputs": [], "source": [ - "# Create Geometry and set root Universe\n", - "geometry = openmc.Geometry()\n", - "geometry.root_universe = root_universe\n", + "# Create Geometry and set root universe\n", + "geometry = openmc.Geometry(root_universe)\n", + "\n", "# Export to \"geometry.xml\"\n", "geometry.export_to_xml()" ] @@ -350,7 +350,7 @@ "source": [ "# OpenMC simulation parameters\n", "batches = 1000\n", - "inactive = 100\n", + "inactive = 50\n", "particles = 2000\n", "\n", "# Instantiate a Settings object\n", @@ -389,8 +389,7 @@ "outputs": [], "source": [ "# Instantiate a 2-group EnergyGroups object\n", - "groups = openmc.mgxs.EnergyGroups()\n", - "groups.group_edges = np.array([0., 0.625, 20.0e6])" + "groups = openmc.mgxs.EnergyGroups([0., 0.625, 20.0e6])" ] }, { @@ -656,8 +655,8 @@ " Copyright | 2011-2017 Massachusetts Institute of Technology\n", " License | http://openmc.readthedocs.io/en/latest/license.html\n", " Version | 0.8.0\n", - " Git SHA1 | 6d1115aec2619254c38e95ac2e29b5eef1c809e9\n", - " Date/Time | 2017-03-06 21:25:02\n", + " Git SHA1 | 966169de084fcfda3a5aaca3edc0065c8caf6bbc\n", + " Date/Time | 2017-03-09 08:47:59\n", " OpenMP Threads | 8\n", "\n", "\n", @@ -666,10 +665,10 @@ "\n", " ============================> RESULTS <============================\n", "\n", - " k-effective (Collision) = 1.16427 +/- 0.00088\n", - " k-effective (Track-length) = 1.16499 +/- 0.00102\n", - " k-effective (Absorption) = 1.16506 +/- 0.00079\n", - " Combined k-effective = 1.16481 +/- 0.00067\n", + " k-effective (Collision) = 1.16543 +/- 0.00083\n", + " k-effective (Track-length) = 1.16536 +/- 0.00100\n", + " k-effective (Absorption) = 1.16501 +/- 0.00074\n", + " Combined k-effective = 1.16518 +/- 0.00063\n", " Leakage Fraction = 0.00000 +/- 0.00000\n", "\n" ] @@ -826,24 +825,20 @@ }, "outputs": [], "source": [ - "# Instantiate our Macroscopic Data\n", - "fuel_macro = openmc.Macroscopic('fuel')\n", - "zircaloy_macro = openmc.Macroscopic('zircaloy')\n", - "water_macro = openmc.Macroscopic('water')\n", - "\n", - "# Now re-define our materials to use the Multi-Group macroscopic data\n", + "# Re-define our materials to use the multi-group macroscopic data\n", "# instead of the continuous-energy data.\n", - "# 1.6 enriched fuel UO2\n", + "\n", + "# 1.6% enriched fuel UO2\n", "fuel_mg = openmc.Material(name='UO2')\n", - "fuel_mg.add_macroscopic(fuel_macro)\n", + "fuel_mg.add_macroscopic('fuel')\n", "\n", "# cladding\n", "zircaloy_mg = openmc.Material(name='Clad')\n", - "zircaloy_mg.add_macroscopic(zircaloy_macro)\n", + "zircaloy_mg.add_macroscopic('zircaloy')\n", "\n", "# moderator\n", "water_mg = openmc.Material(name='Water')\n", - "water_mg.add_macroscopic(water_macro)\n", + "water_mg.add_macroscopic('water')\n", "\n", "# Finally, instantiate our Materials object\n", "materials_file = openmc.Materials((fuel_mg, zircaloy_mg, water_mg))\n", @@ -866,8 +861,8 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Next, we can make the changes we need to the settings file.\n", - "These changes are limited to telling OpenMC to run a multi-group vice contrinuous-energy calculation and provide the location of our multi-group cross section file." + "Next, we can make the changes we need to the simulation parameters.\n", + "These changes are limited to telling OpenMC to run a multi-group vice contrinuous-energy calculation." ] }, { @@ -932,7 +927,7 @@ "data": { "image/png": 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nL7deVymkujaSEkdoXhJHg+64nq/qgb2fTBO8VFX9CWcMx/mqeh4wEvhLfMOK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\npZNlqvpX4LD4hhUdaxw3xpj485I4Kt1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ShwU/7OSh923tCJPa7OZuouVpPQgROVdE/uo+kjoGAhI3WZ8Xgw5rxfWndOGV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\nWCvG/fIk/vLBEiYudNYfuWb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WbdjGbj06JSjStpHoK44KM7sWOA94PHzeIi37ubn7NHefWFpamupQRCTNFeXn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\nuChxiIhIXJQ4REQkLkocIiISl/8PMcPiun1YM38AAAAASUVORK5CYII=\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1033,8 +1028,8 @@ " Copyright | 2011-2017 Massachusetts Institute of Technology\n", " License | http://openmc.readthedocs.io/en/latest/license.html\n", " Version | 0.8.0\n", - " Git SHA1 | 6d1115aec2619254c38e95ac2e29b5eef1c809e9\n", - " Date/Time | 2017-03-06 21:35:03\n", + " Git SHA1 | 966169de084fcfda3a5aaca3edc0065c8caf6bbc\n", + " Date/Time | 2017-03-09 08:49:20\n", " OpenMP Threads | 8\n", "\n", "\n", @@ -1043,10 +1038,10 @@ "\n", " ============================> RESULTS <============================\n", "\n", - " k-effective (Collision) = 1.16401 +/- 0.00087\n", - " k-effective (Track-length) = 1.16395 +/- 0.00101\n", - " k-effective (Absorption) = 1.16454 +/- 0.00046\n", - " Combined k-effective = 1.16450 +/- 0.00045\n", + " k-effective (Collision) = 1.16606 +/- 0.00085\n", + " k-effective (Track-length) = 1.16650 +/- 0.00098\n", + " k-effective (Absorption) = 1.16382 +/- 0.00046\n", + " Combined k-effective = 1.16403 +/- 0.00045\n", " Leakage Fraction = 0.00000 +/- 0.00000\n", "\n" ] @@ -1139,9 +1134,9 @@ "name": "stdout", "output_type": "stream", "text": [ - "Continuous-Energy keff = 1.164814\n", - "Multi-Group keff = 1.164501\n", - "bias [pcm]: 31.4\n" + "Continuous-Energy keff = 1.165177\n", + "Multi-Group keff = 1.164031\n", + "bias [pcm]: 114.7\n" ] } ], @@ -1238,7 +1233,7 @@ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 38, @@ -1247,9 +1242,9 @@ }, { "data": { - "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1303,7 +1298,7 @@ "source": [ "\n", "## Global P0 Scattering\n", - "First we begin by re-running with P0 scattering (i.e., isotropic) everywhere. If a global maximum order is requested, the most effective way to do this is to use the `max_order` attribute of a settings file. With the Python API this is as simple as the following code" + "First we begin by re-running with P0 scattering (i.e., isotropic) everywhere. If a global maximum order is requested, the most effective way to do this is to use the `max_order` attribute of our `openmc.Settings` object." ] }, { @@ -1368,8 +1363,8 @@ " Copyright | 2011-2017 Massachusetts Institute of Technology\n", " License | http://openmc.readthedocs.io/en/latest/license.html\n", " Version | 0.8.0\n", - " Git SHA1 | 6d1115aec2619254c38e95ac2e29b5eef1c809e9\n", - " Date/Time | 2017-03-06 21:40:33\n", + " Git SHA1 | 966169de084fcfda3a5aaca3edc0065c8caf6bbc\n", + " Date/Time | 2017-03-09 08:50:01\n", " OpenMP Threads | 8\n", "\n", "\n", @@ -1378,10 +1373,10 @@ "\n", " ============================> RESULTS <============================\n", "\n", - " k-effective (Collision) = 1.16341 +/- 0.00089\n", - " k-effective (Track-length) = 1.16347 +/- 0.00102\n", - " k-effective (Absorption) = 1.16321 +/- 0.00048\n", - " Combined k-effective = 1.16323 +/- 0.00048\n", + " k-effective (Collision) = 1.16276 +/- 0.00086\n", + " k-effective (Track-length) = 1.16275 +/- 0.00100\n", + " k-effective (Absorption) = 1.16348 +/- 0.00048\n", + " Combined k-effective = 1.16344 +/- 0.00047\n", " Leakage Fraction = 0.00000 +/- 0.00000\n", "\n" ] @@ -1420,8 +1415,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "P3 bias [pcm]: 31.4\n", - "P0 bias [pcm]: 158.4\n" + "P3 bias [pcm]: 114.7\n", + "P0 bias [pcm]: 173.7\n" ] } ], @@ -1498,7 +1493,9 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Finally we will re-write the settings.xml file to remove the parameter which sets P0 as the maximum order, and we will re-run." + "Finally we will re-set our `max_order` parameter of our `openmc.Settings` object to our maximum order so that OpenMC will use whatever scattering data is available in the library.\n", + "\n", + "After we do this we can re-run the simulation." ] }, { @@ -1541,8 +1538,8 @@ " Copyright | 2011-2017 Massachusetts Institute of Technology\n", " License | http://openmc.readthedocs.io/en/latest/license.html\n", " Version | 0.8.0\n", - " Git SHA1 | 6d1115aec2619254c38e95ac2e29b5eef1c809e9\n", - " Date/Time | 2017-03-06 21:45:21\n", + " Git SHA1 | 966169de084fcfda3a5aaca3edc0065c8caf6bbc\n", + " Date/Time | 2017-03-09 08:50:41\n", " OpenMP Threads | 8\n", "\n", "\n", @@ -1551,10 +1548,10 @@ "\n", " ============================> RESULTS <============================\n", "\n", - " k-effective (Collision) = 1.16474 +/- 0.00091\n", - " k-effective (Track-length) = 1.16503 +/- 0.00105\n", - " k-effective (Absorption) = 1.16458 +/- 0.00047\n", - " Combined k-effective = 1.16462 +/- 0.00047\n", + " k-effective (Collision) = 1.16296 +/- 0.00090\n", + " k-effective (Track-length) = 1.16342 +/- 0.00100\n", + " k-effective (Absorption) = 1.16374 +/- 0.00046\n", + " Combined k-effective = 1.16376 +/- 0.00046\n", " Leakage Fraction = 0.00000 +/- 0.00000\n", "\n" ] @@ -1571,20 +1568,7 @@ } ], "source": [ - "# Instantiate a Settings object\n", - "settings_file = openmc.Settings()\n", - "settings_file.energy_mode = 'multi-group'\n", - "settings_file.inactive = inactive\n", - "settings_file.batches = batches\n", - "settings_file.particles = particles\n", - "settings_file.output = {'tallies': False}\n", - "settings_file.run_mode = 'eigenvalue'\n", - "settings_file.verbosity = 4\n", - "\n", - "# Create an initial uniform spatial source distribution over fissionable zones\n", - "bounds = [-10.71, -10.71, -10, 10.71, 10.71, 10.]\n", - "uniform_dist = openmc.stats.Box(bounds[:3], bounds[3:], only_fissionable=True)\n", - "settings_file.source = openmc.source.Source(space=uniform_dist)\n", + "settings_file.max_order = None\n", "\n", "# Export to \"settings.xml\"\n", "settings_file.export_to_xml()\n", @@ -1611,8 +1595,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "P3 bias [pcm]: 31.4\n", - "Mixed Scattering bias [pcm]: 19.6\n" + "P3 bias [pcm]: 114.7\n", + "Mixed Scattering bias [pcm]: 141.6\n" ] } ], @@ -1633,7 +1617,7 @@ "source": [ "Our tests in this section showed the flexibility of data formatting within OpenMC's multi-group mode: every material can be represented with its own format with the approximations that make the most sense. Now, as you'll see above, the runtimes from our P3, P0, and mixed cases are not significantly different and therefore this might not be a useful strategy for multi-group Monte Carlo. However, this capability provides a useful benchmark for the accuracy hit one may expect due to these scattering approximations before implementing this generality in a deterministic solver where the runtime savings are more significant.\n", "\n", - "**NOTE**: The biases obtained above with P3, P0, and mixed representations do not necessarily reflect the inherent accuracies of each mode. These cases were no run with a sufficient number of histories to truly discern the accuracy benefits of scattering representations." + "**NOTE**: The biases obtained above with P3, P0, and mixed representations do not necessarily reflect the inherent accuracies of the options. These cases were *not* run with a sufficient number of histories to truly differntiate methods improvement from statistical noise." ] } ], diff --git a/docs/source/examples/mg-mode-part-iii.ipynb b/docs/source/examples/mg-mode-part-iii.ipynb index f3c242576..5d5faefd4 100644 --- a/docs/source/examples/mg-mode-part-iii.ipynb +++ b/docs/source/examples/mg-mode-part-iii.ipynb @@ -404,7 +404,7 @@ "data": { "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -440,9 +440,9 @@ }, "outputs": [], "source": [ - "# Create Geometry and set root Universe\n", - "geometry = openmc.Geometry()\n", - "geometry.root_universe = universes['Root']\n", + "# Create Geometry and set root universe\n", + "geometry = openmc.Geometry(universes['Root'])\n", + "\n", "# Export to \"geometry.xml\"\n", "geometry.export_to_xml()" ] @@ -465,8 +465,8 @@ "outputs": [], "source": [ "# OpenMC simulation parameters\n", - "batches = 2000\n", - "inactive = 200\n", + "batches = 1000\n", + "inactive = 20\n", "particles = 1000\n", "\n", "# Instantiate a Settings object\n", @@ -803,8 +803,8 @@ " Copyright | 2011-2017 Massachusetts Institute of Technology\n", " License | http://openmc.readthedocs.io/en/latest/license.html\n", " Version | 0.8.0\n", - " Git SHA1 | 6d1115aec2619254c38e95ac2e29b5eef1c809e9\n", - " Date/Time | 2017-03-07 07:26:33\n", + " Git SHA1 | 966169de084fcfda3a5aaca3edc0065c8caf6bbc\n", + " Date/Time | 2017-03-09 09:18:01\n", " OpenMP Threads | 8\n", "\n", "\n", @@ -813,10 +813,10 @@ "\n", " ============================> RESULTS <============================\n", "\n", - " k-effective (Collision) = 0.83897 +/- 0.00074\n", - " k-effective (Track-length) = 0.83934 +/- 0.00085\n", - " k-effective (Absorption) = 0.83800 +/- 0.00076\n", - " Combined k-effective = 0.83860 +/- 0.00063\n", + " k-effective (Collision) = 0.83694 +/- 0.00098\n", + " k-effective (Track-length) = 0.83663 +/- 0.00116\n", + " k-effective (Absorption) = 0.83775 +/- 0.00102\n", + " Combined k-effective = 0.83724 +/- 0.00083\n", " Leakage Fraction = 0.00000 +/- 0.00000\n", "\n" ] @@ -1043,9 +1043,9 @@ "outputs": [ { "data": { - "image/png": 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+ "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1107,8 +1107,8 @@ " Copyright | 2011-2017 Massachusetts Institute of Technology\n", " License | http://openmc.readthedocs.io/en/latest/license.html\n", " Version | 0.8.0\n", - " Git SHA1 | 6d1115aec2619254c38e95ac2e29b5eef1c809e9\n", - " Date/Time | 2017-03-07 07:28:23\n", + " Git SHA1 | 966169de084fcfda3a5aaca3edc0065c8caf6bbc\n", + " Date/Time | 2017-03-09 09:18:56\n", " OpenMP Threads | 8\n", "\n", "\n", @@ -1117,10 +1117,10 @@ "\n", " ============================> RESULTS <============================\n", "\n", - " k-effective (Collision) = 0.82511 +/- 0.00073\n", - " k-effective (Track-length) = 0.82481 +/- 0.00076\n", - " k-effective (Absorption) = 0.82441 +/- 0.00057\n", - " Combined k-effective = 0.82454 +/- 0.00051\n", + " k-effective (Collision) = 0.82605 +/- 0.00103\n", + " k-effective (Track-length) = 0.82596 +/- 0.00103\n", + " k-effective (Absorption) = 0.82503 +/- 0.00075\n", + " Combined k-effective = 0.82528 +/- 0.00067\n", " Leakage Fraction = 0.00000 +/- 0.00000\n", "\n" ] @@ -1249,8 +1249,8 @@ " Copyright | 2011-2017 Massachusetts Institute of Technology\n", " License | http://openmc.readthedocs.io/en/latest/license.html\n", " Version | 0.8.0\n", - " Git SHA1 | 6d1115aec2619254c38e95ac2e29b5eef1c809e9\n", - " Date/Time | 2017-03-07 07:28:39\n", + " Git SHA1 | 966169de084fcfda3a5aaca3edc0065c8caf6bbc\n", + " Date/Time | 2017-03-09 09:19:06\n", " OpenMP Threads | 8\n", "\n", "\n", @@ -1259,10 +1259,10 @@ "\n", " ============================> RESULTS <============================\n", "\n", - " k-effective (Collision) = 0.83632 +/- 0.00073\n", - " k-effective (Track-length) = 0.83599 +/- 0.00075\n", - " k-effective (Absorption) = 0.83724 +/- 0.00055\n", - " Combined k-effective = 0.83686 +/- 0.00050\n", + " k-effective (Collision) = 0.83752 +/- 0.00102\n", + " k-effective (Track-length) = 0.83708 +/- 0.00104\n", + " k-effective (Absorption) = 0.83678 +/- 0.00077\n", + " Combined k-effective = 0.83684 +/- 0.00068\n", " Leakage Fraction = 0.00000 +/- 0.00000\n", "\n" ] @@ -1353,8 +1353,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "Isotropic to CE Bias [pcm]: 1406.5\n", - "Angle to CE Bias [pcm]: 173.8\n" + "Isotropic to CE Bias [pcm]: 1195.9\n", + "Angle to CE Bias [pcm]: 40.4\n" ] } ], @@ -1389,9 +1389,9 @@ "outputs": [ { "data": { - "image/png": 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KkiSp1Wx4JUmS1Go2vJIkSWo1G15JkiS1mg2vJEmSWq1rwxsRG0fEDyPiJxFx\ncUS8fRCJSeqf9SqNF2tWGoxebjzxB+Apmbk+IjYAzo2Ir2bmf1bOTVL/rFdpvFiz0gB0bXgzM4H1\nzdMNmscAbtcjqV/WqzRerFlpMHo6hzciFkXEhcDVwDcy87y6aUmaK+tVGi/WrFRfTw1vZv4xM/cC\nlgGPjoiHTh0nIg6PiJURsZLb1i50npJ61He93mG9SsPUrWYn1evt1qs0F31dpSEz1wHnAPtMM+zE\nzFyemcvZcOkCpSdprnqu18XWqzQKZqrZSfW6gfUqzUUvV2lYGhFLmv/fF3gacGntxCT1z3qVxos1\nKw1GL1dp2BH4ZEQsojTIn8/ML9VNS9IcWa/SeLFmpQHo5SoNPwUePoBcJM2T9SqNF2tWGgzvtCZJ\nkqRWs+GVJElSq9nwSpIkqdVseCVJktRqNrySJElqNRteSZIktZoNryRJklqtlxtP9G874Igqke92\nWeX4Rx1feQIQe72x7gT2urVufICLtqg+idv3OaNq/N1vvaJq/JG3FHhN5Wmsqxx/xQmVJwDxxDfU\nncBedcMDcFHUn8YBX60afo/8RdX4I2974KjK07iocvw3D2D7urzy9vWhdcMD9f8OAIfU3b4+IH9Z\nNX4/3MMrSZKkVrPhlSRJUqvZ8EqSJKnVbHglSZLUaja8kiRJajUbXkmSJLWaDa8kSZJazYZXkiRJ\nrda14Y2IXSLi2xFxSURcHBFHDiIxSf2zXqXxYs1Kg9HLndbuAN6UmRdExObA+RHxjcz8WeXcJPXP\nepXGizUrDUDXPbyZeWVmXtD8/ybgEmDn2olJ6p/1Ko0Xa1YajL7O4Y2I3YGHA+dNM+zwiFgZESu5\nYe3CZCdpznqu1/XWqzQKZqpZt6/S/PXc8EbEZsAZwFGZeePU4Zl5YmYuz8zlbLl0IXOU1Ke+6nUz\n61Uattlq1u2rNH89NbwRsQGlEE/JzDPrpiRpPqxXabxYs1J9vVylIYCPAZdk5vH1U5I0V9arNF6s\nWWkwetnD+wTgUOApEXFh83h25bwkzY31Ko0Xa1YagK6XJcvMc4EYQC6S5sl6lcaLNSsNhndakyRJ\nUqvZ8EqSJKnVbHglSZLUaja8kiRJajUbXkmSJLWaDa8kSZJazYZXkiRJrdb1Orxzsf2WV3LIvu+q\nEfouZ/PMqvEvOuC1VeMDsOzkquE3uOb5VeMD3L7Pl6tP45j8SdX4m77jzqrxR922213N84/8QNVp\nfJOnVY0DNuCoAAAHHUlEQVR/+f5vqBofgL0+Vzf+FfXrlQO+WX0SR+WFVeMvfff6qvFH3Y5b/pZX\n7Hts1Wmcse8BVeNf8pw3Vo0PwENPrhv/0sPqxgc45Izqk/ir/HXV+KNUr+7hlSRJUqvZ8EqSJKnV\nbHglSZLUaja8kiRJajUbXkmSJLWaDa8kSZJazYZXkiRJrda14Y2Ij0fE1RFx0SASkjQ/1qw0PqxX\naTB62cN7MrBP5TwkLZyTsWalcXEy1qtUXdeGNzO/C1w3gFwkLQBrVhof1qs0GJ7DK0mSpFZbsIY3\nIg6PiJURsfKWtTcvVFhJFXTW661rR+de55LuqbNeb157y7DTkcbSgjW8mXliZi7PzOWbLN10ocJK\nqqCzXjdeutmw05E0i8563XTpJsNORxpLntIgSZKkVuvlsmSfBX4A7BERqyPiFfXTkjRX1qw0PqxX\naTAWdxshMw8aRCKSFoY1K40P61UaDE9pkCRJUqvZ8EqSJKnVbHglSZLUaja8kiRJajUbXkmSJLWa\nDa8kSZJazYZXkiRJrRaZueBBl+8aufJNCx52khuP2KBq/J8t2rNqfIB1LKkafxdWVY0P8ICbL68+\njY3fWzf+infUjQ/wdjg/M5fXn1L/lu8eufKtdaex9pV1b198IXtVjQ/163V3rqgaf1DTWPp/1leN\nv+Kvq4YHRrxed4pc+aq607j52Lr7wlZuVP+jrV2vO7GmanwYUL2+t3K9/m3V8EDv9eoeXkmSJLWa\nDa8kSZJazYZXkiRJrWbDK0mSpFaz4ZUkSVKr2fBKkiSp1Wx4JUmS1Go2vJIkSWq1nhreiNgnIn4e\nEZdFxJtrJyVp7qxXabxYs1J9XRveiFgEfBh4FrAncFBE1L8NmaS+Wa/SeLFmpcHoZQ/vo4HLMvPy\nzLwNOA3Yr25akubIepXGizUrDUAvDe/OwKqO56ub1yaJiMMjYmVErFxb99bMkmbWf73eNLDcJN1T\n15qdVK+3DDQ3qTV6aXhjmtfyHi9knpiZyzNz+dLN5p+YpDnpv143H0BWkmbStWYn1esmA8pKaple\nGt7VwC4dz5cBa+qkI2merFdpvFiz0gD00vD+CHhQRNwvIjYEDgS+WDctSXNkvUrjxZqVBmBxtxEy\n846IOAI4G1gEfDwzL66emaS+Wa/SeLFmpcHo2vACZOZXgK9UzkXSArBepfFizUr1eac1SZIktZoN\nryRJklrNhleSJEmtZsMrSZKkVrPhlSRJUqvZ8EqSJKnVbHglSZLUapGZ3cfqN2jEWuDXfbxlW+Ca\nBU9ksJyH0TGK87FbZi4ddhLTsV7HWhvmYxTnoU31CqP5GffLeRgNozgPPdVrlYa3XxGxMjOXDzuP\n+XAeRkdb5mNUteHzbcM8QDvmow3zMOra8Bk7D6NhnOfBUxokSZLUaja8kiRJarVRaXhPHHYCC8B5\nGB1tmY9R1YbPtw3zAO2YjzbMw6hrw2fsPIyGsZ2HkTiHV5IkSaplVPbwSpIkSVUMteGNiH0i4ucR\ncVlEvHmYucxVROwSEd+OiEsi4uKIOHLYOc1VRCyKiB9HxJeGnctcRMSSiDg9Ii5t/h6PG3ZObTPu\nNWu9jg7rtT7rdXSMe73C+Nfs0E5piIhFwC+ApwOrgR8BB2Xmz4aS0BxFxI7Ajpl5QURsDpwP7D9u\n8wEQEW8ElgNbZOZzhp1PvyLik8D3MvOkiNgQ2CQz1w07r7ZoQ81ar6PDeq3Leh0t416vMP41O8w9\nvI8GLsvMyzPzNuA0YL8h5jMnmXllZl7Q/P8m4BJg5+Fm1b+IWAbsC5w07FzmIiK2AJ4EfAwgM28b\np0IcE2Nfs9braLBeB8J6HRHjXq/QjpodZsO7M7Cq4/lqxnBB7hQRuwMPB84bbiZz8n7gaODOYScy\nR/cH1gKfaA4bnRQRmw47qZZpVc1ar0NlvdZnvY6Oca9XaEHNDrPhjWleG9tLRkTEZsAZwFGZeeOw\n8+lHRDwHuDozzx92LvOwGHgE8M+Z+XDgZmDszlkbca2pWet16KzX+qzXEdCSeoUW1OwwG97VwC4d\nz5cBa4aUy7xExAaUYjwlM88cdj5z8ATgeRFxBeWw11Mi4jPDTalvq4HVmTnx7f90SnFq4bSiZq3X\nkWC91me9joY21Cu0oGaH2fD+CHhQRNyvOfn5QOCLQ8xnTiIiKOe0XJKZxw87n7nIzGMyc1lm7k75\nO3wrMw8Zclp9ycyrgFURsUfz0lOBsfthw4gb+5q1XkeD9ToQ1usIaEO9QjtqdvGwJpyZd0TEEcDZ\nwCLg45l58bDymYcnAIcC/xURFzavHZuZXxliTvdWrwdOaVbulwMvG3I+rdKSmrVeR4f1WpH1qgrG\numa905okSZJazTutSZIkqdVseCVJktRqNrySJElqNRteSZIktZoNryRJklrNhleSJEmtZsMrSZKk\nVrPhlSRJUqv9f9Yenj/j31GAAAAAAElFTkSuQmCC\n", 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1420,7 +1420,8 @@ "\n", " fig = plt.subplot(1, len(titles), i + 1)\n", " # Plot only the fueled regions\n", - " plt.imshow(fiss_rates[-1][1:-1, 1:-1], cmap='jet', origin='lower')\n", + " plt.imshow(fiss_rates[-1][1:-1, 1:-1], cmap='jet', origin='lower',\n", + " vmin=0.4, vmax=4.)\n", " plt.title(title + '\\nFission Rates')" ] }, @@ -1446,9 +1447,19 @@ "outputs": [ { "data": { - "image/png": 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dKWlSg7FDaTfRKKVbY25TM+0ISdPyz4dIeqBm2ti87KuaZF6c5/s/pWLY3zp+R9K369er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\nJN0naWdJcyXdJmn/iLi70mC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"text/plain": [ - "" + "" + ] + }, + "execution_count": 41, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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qZfdg+5XAjj3vdwBW9bx/AXBqVf1hbEZP6cltST4GvHGQA/lESkmSJK01j2q6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\nsd2TtJCN1XTPhWkuGaS8ZFv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+ "text/plain": [ + "" ] }, "metadata": {}, @@ -1458,23 +1469,27 @@ "source": [ "# Calculate and plot the ratios of MG to CE for each of the 2 MG cases\n", "ratios = []\n", - "fig = plt.figure(figsize=(12, 6))\n", - "for i, (case, title) in enumerate(zip(sp_files[1:], titles[1:])):\n", + "fig, axes = plt.subplots(figsize=(12, 6), nrows=1, ncols=2)\n", + "for i, (case, title, axis) in enumerate(zip(sp_files[1:], titles[1:], axes.flat)):\n", " # Get our ratio relative to the CE (in fiss_ratios[0])\n", " ratios.append(np.divide(fiss_rates[i + 1], fiss_rates[0]))\n", " \n", - " fig = plt.subplot(1, len(titles[1:]), i + 1)\n", " # Plot only the fueled regions\n", - " plt.imshow(ratios[-1][1:-1, 1:-1], cmap='jet', origin='lower',\n", - " vmin = 0.9, vmax = 1.1)\n", - " plt.title(title + '\\nFission Rates Relative\\nto Continuous-Energy')" + " im = axis.imshow(ratios[-1][1:-1, 1:-1], cmap='bwr', origin='lower',\n", + " vmin = 0.9, vmax = 1.1)\n", + " axis.set_title(title + '\\nFission Rates Relative\\nto Continuous-Energy')\n", + " \n", + "# Add a color bar\n", + "fig.subplots_adjust(right=0.8)\n", + "cbar_ax = fig.add_axes([0.85, 0.15, 0.05, 0.7])\n", + "fig.colorbar(im, cax=cbar_ax)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "With this ratio its clear that the errors are significantly worse in the isotropic case. These errors are conveniently located right where the most anisotropy is espected: by the control blades and by the gadolina-bearing pins!" + "With this ratio its clear that the errors are significantly worse in the isotropic case. These errors are conveniently located right where the most anisotropy is espected: by the control blades and by the Gd-bearing pins!" ] } ], diff --git a/docs/source/examples/mgxs-part-iv.ipynb b/docs/source/examples/mgxs-part-iv.ipynb deleted file mode 100644 index 319a27c16..000000000 --- a/docs/source/examples/mgxs-part-iv.ipynb +++ /dev/null @@ -1,1345 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "This Notebook illustrates the use of the openmc.mgxs.Library class specifically for application in OpenMC's multi-group mode. This example notebook follows the same process as was done in MGXS Part III, but instead uses OpenMC as the multi-group solver. During this process, this notebook will illustrate the following features:\n", - "\n", - " - Calculation of multi-group cross sections for a fuel assembly\n", - " - Automated creation and storage of MGXS with openmc.mgxs.Library\n", - " - Steady-state pin-by-pin fission rates comparison between continuous-energy and multi-group OpenMC." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Generate Input Files" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "%matplotlib inline\n", - "from IPython.display import Image\n", - "import matplotlib.pyplot as plt\n", - "import numpy as np\n", - "import os\n", - "\n", - "import openmc" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "\n", - "First we need to define materials that will be used in the problem. Before defining a material, we must create nuclides that are used in the material." - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "# Instantiate some Nuclides\n", - "h1 = openmc.Nuclide('H1')\n", - "b10 = openmc.Nuclide('B10')\n", - "o16 = openmc.Nuclide('O16')\n", - "u235 = openmc.Nuclide('U235')\n", - "u238 = openmc.Nuclide('U238')\n", - "zr90 = openmc.Nuclide('Zr90')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "With the nuclides we defined, we will now create three materials for the fuel, water, and cladding of the fuel pins." - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# 1.6 enriched fuel\n", - "fuel = openmc.Material(name='1.6% Fuel')\n", - "fuel.set_density('g/cm3', 10.31341)\n", - "fuel.add_nuclide(u235, 3.7503e-4)\n", - "fuel.add_nuclide(u238, 2.2625e-2)\n", - "fuel.add_nuclide(o16, 4.6007e-2)\n", - "\n", - "# zircaloy\n", - "zircaloy = openmc.Material(name='Zircaloy')\n", - "zircaloy.set_density('g/cm3', 6.55)\n", - "zircaloy.add_nuclide(zr90, 7.2758e-3)\n", - "\n", - "# borated water\n", - "water = openmc.Material(name='Borated Water')\n", - "water.set_density('g/cm3', 0.740582)\n", - "water.add_nuclide(h1, 4.9457e-2)\n", - "water.add_nuclide(o16, 2.4732e-2)\n", - "water.add_nuclide(b10, 8.0042e-6)\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "With our three materials, we can now create a Materials object that can be exported to an actual XML file." - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "# Instantiate a Materials object\n", - "materials_file = openmc.Materials((fuel, zircaloy, water))\n", - "\n", - "# Export to \"materials.xml\"\n", - "materials_file.export_to_xml()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now let's move on to the geometry. This problem will be a square array of fuel pins and control rod guide tubes for which we can use OpenMC's lattice/universe feature. The basic universe will have three regions for the fuel, the clad, and the surrounding coolant. The first step is to create the bounding surfaces for fuel and clad, as well as the outer bounding surfaces of the problem." - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "# Create cylinders for the fuel and clad\n", - "fuel_outer_radius = openmc.ZCylinder(x0=0.0, y0=0.0, R=0.39218)\n", - "clad_outer_radius = openmc.ZCylinder(x0=0.0, y0=0.0, R=0.45720)\n", - "\n", - "# Create boundary planes to surround the geometry\n", - "min_x = openmc.XPlane(x0=-10.71, boundary_type='reflective')\n", - "max_x = openmc.XPlane(x0=+10.71, boundary_type='reflective')\n", - "min_y = openmc.YPlane(y0=-10.71, boundary_type='reflective')\n", - "max_y = openmc.YPlane(y0=+10.71, boundary_type='reflective')\n", - "min_z = openmc.ZPlane(z0=-10., boundary_type='reflective')\n", - "max_z = openmc.ZPlane(z0=+10., boundary_type='reflective')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "With the surfaces defined, we can now construct a fuel pin cell from cells that are defined by intersections of half-spaces created by the surfaces." - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Create a Universe to encapsulate a fuel pin\n", - "fuel_pin_universe = openmc.Universe(name='1.6% Fuel Pin')\n", - "\n", - "# Create fuel Cell\n", - "fuel_cell = openmc.Cell(name='1.6% Fuel')\n", - "fuel_cell.fill = fuel\n", - "fuel_cell.region = -fuel_outer_radius\n", - "fuel_pin_universe.add_cell(fuel_cell)\n", - "\n", - "# Create a clad Cell\n", - "clad_cell = openmc.Cell(name='1.6% Clad')\n", - "clad_cell.fill = zircaloy\n", - "clad_cell.region = +fuel_outer_radius & -clad_outer_radius\n", - "fuel_pin_universe.add_cell(clad_cell)\n", - "\n", - "# Create a moderator Cell\n", - "moderator_cell = openmc.Cell(name='1.6% Moderator')\n", - "moderator_cell.fill = water\n", - "moderator_cell.region = +clad_outer_radius\n", - "fuel_pin_universe.add_cell(moderator_cell)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Likewise, we can construct a control rod guide tube with the same surfaces." - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Create a Universe to encapsulate a control rod guide tube\n", - "guide_tube_universe = openmc.Universe(name='Guide Tube')\n", - "\n", - "# Create guide tube Cell\n", - "guide_tube_cell = openmc.Cell(name='Guide Tube Water')\n", - "guide_tube_cell.fill = water\n", - "guide_tube_cell.region = -fuel_outer_radius\n", - "guide_tube_universe.add_cell(guide_tube_cell)\n", - "\n", - "# Create a clad Cell\n", - "clad_cell = openmc.Cell(name='Guide Clad')\n", - "clad_cell.fill = zircaloy\n", - "clad_cell.region = +fuel_outer_radius & -clad_outer_radius\n", - "guide_tube_universe.add_cell(clad_cell)\n", - "\n", - "# Create a moderator Cell\n", - "moderator_cell = openmc.Cell(name='Guide Tube Moderator')\n", - "moderator_cell.fill = water\n", - "moderator_cell.region = +clad_outer_radius\n", - "guide_tube_universe.add_cell(moderator_cell)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Using the pin cell universe, we can construct a 17x17 rectangular lattice with a 1.26 cm pitch." - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Create fuel assembly Lattice\n", - "assembly = openmc.RectLattice(name='1.6% Fuel Assembly')\n", - "assembly.pitch = (1.26, 1.26)\n", - "assembly.lower_left = [-1.26 * 17. / 2.0] * 2" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Next, we create a NumPy array of fuel pin and guide tube universes for the lattice." - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "# Create array indices for guide tube locations in lattice\n", - "template_x = np.array([5, 8, 11, 3, 13, 2, 5, 8, 11, 14, 2, 5, 8,\n", - " 11, 14, 2, 5, 8, 11, 14, 3, 13, 5, 8, 11])\n", - "template_y = np.array([2, 2, 2, 3, 3, 5, 5, 5, 5, 5, 8, 8, 8, 8,\n", - " 8, 11, 11, 11, 11, 11, 13, 13, 14, 14, 14])\n", - "\n", - "# Initialize an empty 17x17 array of the lattice universes\n", - "universes = np.empty((17, 17), dtype=openmc.Universe)\n", - "\n", - "# Fill the array with the fuel pin and guide tube universes\n", - "universes[:,:] = fuel_pin_universe\n", - "universes[template_x, template_y] = guide_tube_universe\n", - "\n", - "# Store the array of universes in the lattice\n", - "assembly.universes = universes" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "OpenMC requires that there is a \"root\" universe. Let us create a root cell that is filled by the pin cell universe and then assign it to the root universe." - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Create root Cell\n", - "root_cell = openmc.Cell(name='root cell')\n", - "root_cell.fill = assembly\n", - "\n", - "# Add boundary planes\n", - "root_cell.region = +min_x & -max_x & +min_y & -max_y & +min_z & -max_z\n", - "\n", - "# Create root Universe\n", - "root_universe = openmc.Universe(name='root universe', universe_id=0)\n", - "root_universe.add_cell(root_cell)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We now must create a geometry that is assigned a root universe and export it to XML." - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Create Geometry and set root Universe\n", - "geometry = openmc.Geometry()\n", - "geometry.root_universe = root_universe\n", - "# Export to \"geometry.xml\"\n", - "geometry.export_to_xml()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "With the geometry and materials finished, we now just need to define simulation parameters. In this case, we will use 10 inactive batches and 40 active batches each with 5000 particles." - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "# OpenMC simulation parameters\n", - "batches = 500\n", - "inactive = 10\n", - "particles = 5000\n", - "\n", - "# Instantiate a Settings object\n", - "settings_file = openmc.Settings()\n", - "settings_file.batches = batches\n", - "settings_file.inactive = inactive\n", - "settings_file.particles = particles\n", - "settings_file.output = {'tallies': False}\n", - "settings_file.verbosity = 4 # only show results\n", - "\n", - "# Create an initial uniform spatial source distribution over fissionable zones\n", - "bounds = [-10.71, -10.71, -10, 10.71, 10.71, 10.]\n", - "uniform_dist = openmc.stats.Box(bounds[:3], bounds[3:], only_fissionable=True)\n", - "settings_file.source = openmc.source.Source(space=uniform_dist)\n", - "\n", - "# Export to \"settings.xml\"\n", - "settings_file.export_to_xml()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Let us also create a Plots file that we can use to verify that our fuel assembly geometry was created successfully." - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "# Instantiate a Plot\n", - "plot = openmc.Plot()\n", - "plot.filename = 'materials-xy'\n", - "plot.origin = [0, 0, 0]\n", - "plot.pixels = [250, 250]\n", - "plot.width = [-10.71*2, -10.71*2]\n", - "plot.color = 'mat'\n", - "\n", - "# Instantiate a Plots object, add Plot, and export to \"plots.xml\"\n", - "plot_file = openmc.Plots([plot])\n", - "plot_file.export_to_xml()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "With the plots.xml file, we can now generate and view the plot. OpenMC outputs plots in .ppm format, which can be converted into a compressed format like .png with the convert utility." - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "0" - ] - }, - "execution_count": 14, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# Run openmc in plotting mode\n", - "openmc.plot_geometry(output=False)" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAPoAAAD6AgMAAAD1grKuAAAABGdBTUEAALGPC/xhBQAAACBjSFJN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\nVDExOjI3OjI3LTA2OjAwxJJlgAAAAABJRU5ErkJggg==\n", - "text/plain": [ - "" - ] - }, - "execution_count": 15, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# Convert OpenMC's funky ppm to png\n", - "!convert materials-xy.ppm materials-xy.png\n", - "\n", - "# Display the materials plot inline\n", - "Image(filename='materials-xy.png')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "As we can see from the plot, we have a nice array of fuel and guide tube pin cells with fuel, cladding, and water!\n", - "\n", - "# Create an MGXS Library\n", - "\n", - "Now we are ready to generate multi-group cross sections! First, let's define a 2-group structure using the built-in EnergyGroups class." - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Instantiate a 2-group EnergyGroups object\n", - "groups = openmc.mgxs.EnergyGroups()\n", - "groups.group_edges = np.array([0., 0.625, 20.0e6])" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Next, we will instantiate an openmc.mgxs.Library for the energy groups with our the fuel assembly geometry." - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "# Initialize a 2-group MGXS Library for OpenMOC\n", - "mgxs_lib = openmc.mgxs.Library(geometry)\n", - "mgxs_lib.energy_groups = groups" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now, we must specify to the Library which types of cross sections to compute. OpenMC's multi-group mode can accept isotropic flux-weighted cross sections or angle-dependent cross sections, as well as supporting anisotropic scattering represented by either Legendre polynomials, histogram, or tabular angular distributions. At this time the MGXS Library class only supports the generation of isotropic flux-weighted cross sections and P0 scattering, so that is what will be used for this example. Therefore, we will create the following multi-group cross sections needed to run an OpenMC simulation to verify the accuracy of our cross sections: \"total\", \"absorption\", \"nu-fission\", '\"fission\", \"nu-scatter matrix\", \"multiplicity matrix\", and \"chi\".\n", - "\"multiplicity matrix\" is needed to provide OpenMC's multi-group mode with additional information needed to accurately treat scattering multiplication (i.e., (n,xn) reactions)) explicitly." - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "# Specify multi-group cross section types to compute\n", - "mgxs_lib.mgxs_types = ['total', 'absorption', 'nu-fission', 'fission',\n", - " 'nu-scatter matrix', 'multiplicity matrix', 'chi']" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now we must specify the type of domain over which we would like the `Library` to compute multi-group cross sections. The domain type corresponds to the type of tally filter to be used in the tallies created to compute multi-group cross sections. At the present time, the `Library` supports \"material\" \"cell\", \"universe\", and \"mesh\" domain types. In this simple example, we wish to compute multi-group cross sections only for each material and therefore will use a \"material\" domain type.\n", - "\n", - "**Note:** By default, the `Library` class will instantiate `MGXS` objects for each and every domain (material, cell, universe, or mesh) in the geometry of interest. However, one may specify a subset of these domains to the `Library.domains` property." - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Specify a \"cell\" domain type for the cross section tally filters\n", - "mgxs_lib.domain_type = \"material\"\n", - "\n", - "# Specify the cell domains over which to compute multi-group cross sections\n", - "mgxs_lib.domains = geometry.get_all_materials().values()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We will instruct the library to not compute cross sections on a nuclide-by-nuclide basis, and instead to focus on generating material-specific macroscopic cross sections.\n", - "\n", - "**NOTE:** The default value of the `by_nuclide` parameter is `False`, so the following step is not necessary but is included for illustrative purposes." - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Do not compute cross sections on a nuclide-by-nuclide basis\n", - "mgxs_lib.by_nuclide = False" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now we will set the scattering order that we wish to use. For this problem we will use P3 scattering. A warning is expected telling us that the default behavior (a P0 correction on the scattering data) is over-ridden by our choice of using a Legendre expansion to treat anisotropic scattering." - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/home/romano/openmc/openmc/mgxs/library.py:412: RuntimeWarning: The P0 correction will be ignored since the scattering order 0 is greater than zero\n", - " warn(msg, RuntimeWarning)\n" - ] - } - ], - "source": [ - "# Set the Legendre order to 3 for P3 scattering\n", - "mgxs_lib.legendre_order = 3" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now that the `Library` has been setup, lets make sure it contains the types of cross sections which meet the needs of OpenMC's multi-group solver. Note that this step is done automatically when writing the Multi-Group Library file later in the process (as part of the `mgxs_lib.write_mg_library()`), but it is a good practice to also run this before spending all the time running OpenMC to generate the cross sections." - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Check the library - if no errors are raised, then the library is satisfactory.\n", - "mgxs_lib.check_library_for_openmc_mgxs()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Lastly, we use the `Library` to construct the tallies needed to compute all of the requested multi-group cross sections in each domain and nuclide." - ] - }, - { - "cell_type": "code", - "execution_count": 23, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Construct all tallies needed for the multi-group cross section library\n", - "mgxs_lib.build_library()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The tallies can now be export to a \"tallies.xml\" input file for OpenMC.\n", - "\n", - "**NOTE:** At this point the `Library` has constructed nearly 100 distinct Tally objects. The overhead to tally in OpenMC scales as O(N) for N tallies, which can become a bottleneck for large tally datasets. To compensate for this, the Python API's `Tally`, `Filter` and `Tallies` classes allow for the smart merging of tallies when possible. The `Library` class supports this runtime optimization with the use of the optional `merge` parameter (`False` by default) for the `Library.add_to_tallies_file(...)` method, as shown below." - ] - }, - { - "cell_type": "code", - "execution_count": 24, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "# Create a \"tallies.xml\" file for the MGXS Library\n", - "tallies_file = openmc.Tallies()\n", - "mgxs_lib.add_to_tallies_file(tallies_file, merge=True)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "In addition, we instantiate a fission rate mesh tally to compare with the multi-group result." - ] - }, - { - "cell_type": "code", - "execution_count": 25, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "# Instantiate a tally Mesh\n", - "mesh = openmc.Mesh()\n", - "mesh.type = 'regular'\n", - "mesh.dimension = [17, 17]\n", - "mesh.lower_left = [-10.71, -10.71]\n", - "mesh.upper_right = [+10.71, +10.71]\n", - "\n", - "# Instantiate tally Filter\n", - "mesh_filter = openmc.MeshFilter(mesh)\n", - "\n", - "# Instantiate the Tally\n", - "tally = openmc.Tally(name='mesh tally')\n", - "tally.filters = [mesh_filter]\n", - "tally.scores = ['fission']\n", - "\n", - "# Add tally to collection\n", - "tallies_file.append(tally, merge=True)\n", - "\n", - "# Export all tallies to a \"tallies.xml\" file\n", - "tallies_file.export_to_xml()" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "collapsed": true - }, - "source": [ - "Time to run the calculation and get our results! This time we will suppress the OpenMC output except for the summary information." - ] - }, - { - "cell_type": "code", - "execution_count": 26, - "metadata": { - "collapsed": false - }, - "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", - "\n", - " | The OpenMC Monte Carlo Code\n", - " Copyright | 2011-2017 Massachusetts Institute of Technology\n", - " License | http://openmc.readthedocs.io/en/latest/license.html\n", - " Version | 0.8.0\n", - " Git SHA1 | 5e9b06a861d4f596314eff490ad63c051f833f3a\n", - " Date/Time | 2017-03-02 11:27:28\n", - " OpenMP Threads | 4\n", - "\n", - "\n", - " ====================> K EIGENVALUE SIMULATION <====================\n", - "\n", - "\n", - " ============================> RESULTS <============================\n", - "\n", - " k-effective (Collision) = 1.02519 +/- 0.00068\n", - " k-effective (Track-length) = 1.02548 +/- 0.00075\n", - " k-effective (Absorption) = 1.02621 +/- 0.00064\n", - " Combined k-effective = 1.02580 +/- 0.00053\n", - " Leakage Fraction = 0.00000 +/- 0.00000\n", - "\n" - ] - }, - { - "data": { - "text/plain": [ - "0" - ] - }, - "execution_count": 26, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# Run OpenMC\n", - "openmc.run(output='summary')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "To make the files available and not be over-written when running the multi-group calculation, we will now rename the statepoint and summary files." - ] - }, - { - "cell_type": "code", - "execution_count": 27, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Move the StatePoint File\n", - "ce_spfile = './ce_statepoint.h5'\n", - "os.rename('statepoint.' + str(batches) + '.h5', ce_spfile)\n", - "# Move the Summary file\n", - "ce_sumfile = './ce_summary.h5'\n", - "os.rename('summary.h5', ce_sumfile)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Tally Data Processing\n", - "\n", - "Our simulation ran successfully and created statepoint and summary output files. Let's begin by loading the StatePoint file, but not automatically linking the summary file." - ] - }, - { - "cell_type": "code", - "execution_count": 28, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Load the statepoint file, but not the summary file, as it is a different filename than expected.\n", - "sp = openmc.StatePoint(ce_spfile, autolink=False)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "In addition to the statepoint file, our simulation also created a summary file which encapsulates information about the materials and geometry. This is necessary for the `openmc.mgxs` module to properly process the tally data. We first create a `Summary` object and link it with the statepoint. Normally this would not need to be performed, but since we have renamed our summary file to avoid conflicts with the Multi-Group calculation's summary file, we will load this in explicitly." - ] - }, - { - "cell_type": "code", - "execution_count": 29, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "su = openmc.Summary(ce_sumfile)\n", - "sp.link_with_summary(su)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The statepoint is now ready to be analyzed by the `Library`. We simply have to load the tallies from the statepoint into the `Library` and our `MGXS` objects will compute the cross sections for us under-the-hood." - ] - }, - { - "cell_type": "code", - "execution_count": 30, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Initialize MGXS Library with OpenMC statepoint data\n", - "mgxs_lib.load_from_statepoint(sp)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The next step will be to prepare the input for OpenMC to use our newly created multi-group data." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Multi-Group OpenMC Calculation" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We will now use the `Library` to produce a multi-group cross section data set for use by the OpenMC multi-group solver. \n", - "Note that since this simulation included so few histories, it is reasonable to expect some divisions by zero errors. This will show up as a runtime warning in the following step." - ] - }, - { - "cell_type": "code", - "execution_count": 31, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/home/romano/openmc/openmc/tallies.py:1835: RuntimeWarning: invalid value encountered in true_divide\n", - " self_rel_err = data['self']['std. dev.'] / data['self']['mean']\n", - "/home/romano/openmc/openmc/tallies.py:1836: RuntimeWarning: invalid value encountered in true_divide\n", - " other_rel_err = data['other']['std. dev.'] / data['other']['mean']\n", - "/home/romano/openmc/openmc/tallies.py:1837: RuntimeWarning: invalid value encountered in true_divide\n", - " new_tally._mean = data['self']['mean'] / data['other']['mean']\n" - ] - } - ], - "source": [ - "# Create a MGXS File which can then be written to disk\n", - "mgxs_file = mgxs_lib.create_mg_library(xs_type='macro', xsdata_names=['fuel', 'zircaloy', 'water'])\n", - "\n", - "# Write the file to disk using the default filename of `mgxs.h5`\n", - "mgxs_file.export_to_hdf5()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "OpenMC's multi-group mode uses the same input files as does the continuous-energy mode (materials, geometry, settings, plots ,and tallies file). Differences would include the use of a flag to tell the code to use multi-group transport, a location of the multi-group library file, and any changes needed in the materials.xml and geometry.xml files to re-define materials as necessary (for example, if using a macroscopic cross section library instead of individual microscopic nuclide cross sections as is done in continuous-energy, or if multiple cross sections exist for the same material due to the material existing in varied spectral regions).\n", - "\n", - "Since this example is using material-wise macroscopic cross sections without considering that the neutron energy spectra and thus cross sections may be changing in space, we only need to modify the materials.xml and settings.xml files. If the material names and ids are not otherwise changed, then the geometry.xml file does not need to be modified from its continuous-energy form. The tallies.xml file will be left untouched as it currently contains the tally types that we will need to perform our comparison. \n", - "\n", - "First we will create the new materials.xml file." - ] - }, - { - "cell_type": "code", - "execution_count": 32, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Instantiate our Macroscopic Data\n", - "fuel_macro = openmc.Macroscopic('fuel')\n", - "zircaloy_macro = openmc.Macroscopic('zircaloy')\n", - "water_macro = openmc.Macroscopic('water')\n", - "\n", - "# Now re-define our materials to use the Multi-Group macroscopic data\n", - "# instead of the continuous-energy data.\n", - "# 1.6 enriched fuel UO2\n", - "fuel_mg = openmc.Material(name='UO2')\n", - "fuel_mg.add_macroscopic(fuel_macro)\n", - "\n", - "# cladding\n", - "zircaloy_mg = openmc.Material(name='Clad')\n", - "zircaloy_mg.add_macroscopic(zircaloy_macro)\n", - "\n", - "# moderator\n", - "water_mg = openmc.Material(name='Water')\n", - "water_mg.add_macroscopic(water_macro)\n", - "\n", - "# Finally, instantiate our Materials object\n", - "materials_file = openmc.Materials((fuel_mg, zircaloy_mg, water_mg))\n", - "\n", - "# Set the location of the cross sections file\n", - "materials_file.cross_sections = './mgxs.h5'\n", - "\n", - "# Export to \"materials.xml\"\n", - "materials_file.export_to_xml()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "No geometry file neeeds to be written as the continuous-energy file is correctly defined for the multi-group case as well." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Next, we can make the changes we need to the settings file.\n", - "These changes are limited to telling OpenMC we will be running a multi-group calculation and pointing to the location of our multi-group cross section file." - ] - }, - { - "cell_type": "code", - "execution_count": 33, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "# Set the energy mode\n", - "settings_file.energy_mode = 'multi-group'\n", - "\n", - "# Export to \"settings.xml\"\n", - "settings_file.export_to_xml()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Finally, since we want similar tally data in the end, we will leave our pre-existing `tallies.xml` file for this calculation.\n", - "\n", - "Before running the calculation let's visually compare a subset of the newly-generated multi-group cross section data to the continuous-energy data. We will do this using the cross section plotting functionality built-in to the OpenMC Python API." - ] - }, - { - "cell_type": "code", - "execution_count": 34, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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ZBwD6td9u7Xn/moM4uH8H/vbuXC5+djobi634Hi/BH+6NaRwP9YrwbRyB1wWN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\nnbeOacs28eOKIm7f/Af24Bf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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# First lets plot the fuel data\n", - "# We will first add the continuous-energy data\n", - "fig = openmc.plot_xs(fuel, ['total'])\n", - "\n", - "# We will now add in the corresponding multi-group data and show the result\n", - "openmc.plot_xs(fuel_mg, ['total'], plot_CE=False, mg_cross_sections='./mgxs.h5', axis=fig.axes[0])\n", - "fig.axes[0].legend().set_visible(False)\n", - "plt.show()\n", - "plt.close()\n", - "\n", - "# Then repeat for the zircaloy data\n", - "fig = openmc.plot_xs(zircaloy, ['total'])\n", - "openmc.plot_xs(zircaloy_mg, ['total'], plot_CE=False, mg_cross_sections='./mgxs.h5', axis=fig.axes[0])\n", - "fig.axes[0].legend().set_visible(False)\n", - "plt.show()\n", - "plt.close()\n", - "\n", - "# And finally repeat for the water data\n", - "fig = openmc.plot_xs(water, ['total'])\n", - "openmc.plot_xs(water_mg, ['total'], plot_CE=False, mg_cross_sections='./mgxs.h5', axis=fig.axes[0])\n", - "fig.axes[0].legend().set_visible(False)\n", - "plt.show()\n", - "plt.close()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "At this point, the problem is set up and we can run the multi-group calculation, again with only summary information being displayed." - ] - }, - { - "cell_type": "code", - "execution_count": 35, - "metadata": { - "collapsed": false, - "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", - "\n", - " | The OpenMC Monte Carlo Code\n", - " Copyright | 2011-2017 Massachusetts Institute of Technology\n", - " License | http://openmc.readthedocs.io/en/latest/license.html\n", - " Version | 0.8.0\n", - " Git SHA1 | 5e9b06a861d4f596314eff490ad63c051f833f3a\n", - " Date/Time | 2017-03-02 11:31:01\n", - " OpenMP Threads | 4\n", - "\n", - "\n", - " ====================> K EIGENVALUE SIMULATION <====================\n", - "\n", - "\n", - " ============================> RESULTS <============================\n", - "\n", - " k-effective (Collision) = 1.02629 +/- 0.00071\n", - " k-effective (Track-length) = 1.02613 +/- 0.00081\n", - " k-effective (Absorption) = 1.02540 +/- 0.00048\n", - " Combined k-effective = 1.02552 +/- 0.00045\n", - " Leakage Fraction = 0.00000 +/- 0.00000\n", - "\n" - ] - }, - { - "data": { - "text/plain": [ - "0" - ] - }, - "execution_count": 35, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# Run OpenMC\n", - "openmc.run()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Results Comparison\n", - "Now we can compare the multi-group and continuous-energy results.\n", - "\n", - "We will begin by loading the multi-group statepoint file we just finished writing and extracting the calculated keff.\n", - "Since we did not rename the summary file, we do not need to load it separately this time." - ] - }, - { - "cell_type": "code", - "execution_count": 36, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Load the last statepoint file and keff value\n", - "mgsp = openmc.StatePoint('statepoint.' + str(batches) + '.h5')\n", - "mg_keff = mgsp.k_combined" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Next, we can load the continuous-energy eigenvalue for comparison." - ] - }, - { - "cell_type": "code", - "execution_count": 37, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "ce_keff = sp.k_combined" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Lets compare the two eigenvalues, including their bias" - ] - }, - { - "cell_type": "code", - "execution_count": 38, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Continuous-Energy keff = 1.025799\n", - "Multi-Group keff = 1.025523\n", - "bias [pcm]: 27.6\n" - ] - } - ], - "source": [ - "bias = 1.0E5 * (ce_keff[0] - mg_keff[0])\n", - "\n", - "print('Continuous-Energy keff = {0:1.6f}'.format(ce_keff[0]))\n", - "print('Multi-Group keff = {0:1.6f}'.format(mg_keff[0]))\n", - "print('bias [pcm]: {0:1.1f}'.format(bias))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "This shows a small but nontrivial pcm bias between the two methods. Some degree of mismatch is expected simply to the very few histories being used in these example problems. An additional mismatch is always inherent in the practical application of multi-group theory due to the high degree of approximations inherent in that method." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Flux and Pin Power Visualizations" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Next we will visualize the mesh tally results obtained from both the Continuous-Energy and Multi-Group OpenMC calculations.\n", - "\n", - "First, we extract volume-integrated fission rates from the Multi-Group calculation's mesh fission rate tally for each pin cell in the fuel assembly." - ] - }, - { - "cell_type": "code", - "execution_count": 39, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Get the OpenMC fission rate mesh tally data\n", - "mg_mesh_tally = mgsp.get_tally(name='mesh tally')\n", - "mg_fission_rates = mg_mesh_tally.get_values(scores=['fission'])\n", - "\n", - "# Reshape array to 2D for plotting\n", - "mg_fission_rates.shape = (17,17)\n", - "\n", - "# Normalize to the average pin power\n", - "mg_fission_rates /= np.mean(mg_fission_rates)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now we can do the same for the Continuous-Energy results." - ] - }, - { - "cell_type": "code", - "execution_count": 40, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Get the OpenMC fission rate mesh tally data\n", - "ce_mesh_tally = sp.get_tally(name='mesh tally')\n", - "ce_fission_rates = ce_mesh_tally.get_values(scores=['fission'])\n", - "\n", - "# Reshape array to 2D for plotting\n", - "ce_fission_rates.shape = (17,17)\n", - "\n", - "# Normalize to the average pin power\n", - "ce_fission_rates /= np.mean(ce_fission_rates)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now we can easily use Matplotlib to visualize the two fission rates side-by-side." - ] - }, - { - "cell_type": "code", - "execution_count": 41, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 41, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# Force zeros to be NaNs so their values are not included when matplotlib calculates\n", - "# the color scale\n", - "ce_fission_rates[ce_fission_rates == 0.] = np.nan\n", - "mg_fission_rates[mg_fission_rates == 0.] = np.nan\n", - "\n", - "# Plot the CE fission rates in the left subplot\n", - "fig = plt.subplot(121)\n", - "plt.imshow(ce_fission_rates, interpolation='none', cmap='jet')\n", - "plt.title('Continuous-Energy Fission Rates')\n", - "\n", - "# Plot the MG fission rates in the right subplot\n", - "fig2 = plt.subplot(122)\n", - "plt.imshow(mg_fission_rates, interpolation='none', cmap='jet')\n", - "plt.title('Multi-Group Fission Rates')\n" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "collapsed": true - }, - "source": [ - "We also see good agreement between the fission rate distributions, though these should converge closer together with an increasing number of particle histories in both the continuous-energy run to generate the multi-group cross sections, and in the multi-group calculation itself." - ] - } - ], - "metadata": { - "anaconda-cloud": {}, - "kernelspec": { - "display_name": "Python [default]", - "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": "3.5.2" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -} diff --git a/docs/source/examples/mgxs-part-iv.rst b/docs/source/examples/mgxs-part-iv.rst deleted file mode 100644 index e24325521..000000000 --- a/docs/source/examples/mgxs-part-iv.rst +++ /dev/null @@ -1,13 +0,0 @@ -.. _notebook_mgxs_part_iv: - -==================================================== -MGXS Part IV: Multi-Group Mode Cross-Section Library -==================================================== - -.. only:: html - - .. notebook:: mgxs-part-iv.ipynb - -.. only:: latex - - IPython notebooks must be viewed in the online HTML documentation. diff --git a/docs/source/pythonapi/index.rst b/docs/source/pythonapi/index.rst index 5cdac17db..3a0cb7ec1 100644 --- a/docs/source/pythonapi/index.rst +++ b/docs/source/pythonapi/index.rst @@ -6,12 +6,13 @@ Python API OpenMC includes a rich Python API that enables programmatic pre- and post-processing. The easiest way to begin using the API is to take a look at the -example Jupyter_ notebooks provided. However, this assumes that you are already -familiar with Python and common third-party packages such as NumPy_. If you have -never programmed in Python before, there are many good tutorials available -online. We recommend going through the modules from Codecademy_ and/or the -`Scipy lectures`_. The full API documentation serves to provide more information -on a given module or class. +example Jupyter_ notebooks provided in the :ref:`examples` section of the +documentation. However, this assumes that you are already familiar with Python +and common third-party packages such as NumPy_. If you have never programmed in +Python before, there are many good tutorials available online. We recommend +going through the modules from Codecademy_ and/or the `Scipy lectures`_. The +full API documentation serves to provide more information on a given module or +class. ------------------------------------ :mod:`openmc` -- Basic Functionality diff --git a/openmc/settings.py b/openmc/settings.py index 9a627a5cf..ff8c8a00f 100644 --- a/openmc/settings.py +++ b/openmc/settings.py @@ -60,7 +60,7 @@ class Settings(object): type are 'variance', 'std_dev', and 'rel_err'. The threshold value should be a float indicating the variance, standard deviation, or relative error used. - max_order : int + max_order : None or int Maximum scattering order to apply globally when in multi-group mode. multipole_library : str Indicates the path to a directory containing a windowed multipole @@ -456,8 +456,10 @@ class Settings(object): @max_order.setter def max_order(self, max_order): - cv.check_type('maximum scattering order', max_order, Integral) - cv.check_greater_than('maximum scattering order', max_order, 0, True) + if max_order is not None: + cv.check_type('maximum scattering order', max_order, Integral) + cv.check_greater_than('maximum scattering order', max_order, 0, + True) self._max_order = max_order @source.setter