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621 lines
24 KiB
ReStructuredText
621 lines
24 KiB
ReStructuredText
.. _usersguide_settings:
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==================
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Execution Settings
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==================
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.. currentmodule:: openmc
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Once you have created the materials and geometry for your simulation, the last
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step to have a complete model is to specify execution settings through the
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:class:`openmc.Settings` class. At a minimum, you need to specify a :ref:`source
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distribution <usersguide_source>` and :ref:`how many particles to run
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<usersguide_particles>`. Many other execution settings can be set using the
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:class:`openmc.Settings` object, but they are generally optional.
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.. _usersguide_run_modes:
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---------
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Run Modes
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---------
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The :attr:`Settings.run_mode` attribute controls what run mode is used when
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:ref:`scripts_openmc` is executed. There are five different run modes that can
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be specified:
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'eigenvalue'
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Runs a :math:`k` eigenvalue simulation. See :ref:`methods_eigenvalue` for a
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full description of eigenvalue calculations. In this mode, the
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:attr:`Settings.source` specifies a starting source that is only used for the
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first fission generation.
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'fixed source'
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Runs a fixed-source calculation with a specified external source, specified in
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the :attr:`Settings.source` attribute.
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'volume'
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Runs a stochastic volume calculation.
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'plot'
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Generates slice or voxel plots (see :ref:`usersguide_plots`).
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'particle restart'
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Simulate a single source particle using a particle restart file.
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So, for example, to specify that OpenMC should be run in fixed source mode, you
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would need to instantiate a :class:`openmc.Settings` object and assign the
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:attr:`Settings.run_mode` attribute::
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settings = openmc.Settings()
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settings.run_mode = 'fixed source'
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If you don't specify a run mode, the default run mode is 'eigenvalue'.
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.. _usersguide_particles:
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------------
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Run Strategy
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------------
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For a fixed source simulation, the total number of source particle histories
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simulated is broken up into a number of *batches*, each corresponding to a
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:ref:`realization <methods_tallies>` of the tally random variables. Thus, you
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need to specify both the number of batches (:attr:`Settings.batches`) as well as
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the number of particles per batch (:attr:`Settings.particles`).
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For a :math:`k` eigenvalue simulation, particles are grouped into *fission
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generations*, as described in :ref:`methods_eigenvalue`. Successive fission
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generations can be combined into a batch for statistical purposes. By default, a
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batch will consist of only a single fission generation, but this can be changed
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with the :attr:`Settings.generations_per_batch` attribute. For problems with a
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high dominance ratio, using multiple generations per batch can help reduce
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underprediction of variance, thereby leading to more accurate confidence
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intervals. Tallies should not be scored to until the source distribution
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converges, as described in :ref:`method-successive-generations`, which may take
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many generations. To specify the number of batches that should be discarded
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before tallies begin to accumulate, use the :attr:`Settings.inactive` attribute.
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The following example shows how one would simulate 10000 particles per
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generation, using 10 generations per batch, 150 total batches, and discarding 5
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batches. Thus, a total of 145 active batches (or 1450 generations) will be used
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for accumulating tallies.
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::
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settings.particles = 10000
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settings.generations_per_batch = 10
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settings.batches = 150
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settings.inactive = 5
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.. _usersguide_batches:
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Number of Batches
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-----------------
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In general, the stochastic uncertainty in your simulation results is directly
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related to how many total active particles are simulated (the product of the
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number of active batches, number of generations per batch, and number of
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particles). At a minimum, you should use enough active batches so that the
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central limit theorem is satisfied (about 30). Otherwise, reducing the overall
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uncertainty in your simulation by a factor of 2 will require using 4 times as
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many batches (since the standard deviation decreases as :math:`1/\sqrt{N}`).
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Number of Inactive Batches
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--------------------------
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For :math:`k` eigenvalue simulations, the source distribution is not known a
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priori. Thus, a "guess" of the source distribution is made and then iterated on,
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with the source evolving closer to the true distribution at each iteration. Once
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the source distribution has converged, it is then safe to start accumulating
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tallies. Consequently, a preset number of inactive batches are run before the
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active batches (where tallies are turned on) begin. The number of inactive
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batches necessary to reach a converged source depends on the spatial extent of
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the problem, its dominance ratio, what boundary conditions are used, and many
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other factors. For small problems, using 50--100 inactive batches is likely
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sufficient. For larger models, many hundreds of inactive batches may be
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necessary. Users are recommended to use the :ref:`Shannon entropy
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<usersguide_entropy>` diagnostic as a way of determining how many inactive
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batches are necessary.
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Specifying the initial source used for the very first batch is described in
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:ref:`below <usersguide_source>`. Although the initial source is arbitrary in
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the sense that any source will eventually converge to the correct distribution,
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using a source guess that is closer to the actual converged source distribution
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will translate into needing fewer inactive batches (and hence less simulation
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time).
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For fixed source simulations, the source distribution is known exactly, so no
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inactive batches are needed. In this case the :attr:`Settings.inactive`
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attribute can be omitted since it defaults to zero.
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Number of Generations per Batch
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-------------------------------
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The standard deviation of tally results is calculated assuming that all
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realizations (batches) are independent. However, in a :math:`k` eigenvalue
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calculation, the source sites for each batch are produced from fissions in the
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preceding batch, resulting in a correlation between successive batches. This
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correlation can result in an underprediction of the variance. That is, the
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variance reported is actually less than the true variance. To mitigate this
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effect, OpenMC allows you to group together multiple fission generations into a
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single batch for statistical purposes, rather than having each fission
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generation be a separate batch, which is the default behavior.
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Number of Particles per Generation
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----------------------------------
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There are several considerations for choosing the number of particles per
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generation. As discussed in :ref:`usersguide_batches`, the total number of
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active particles will determine the level of stochastic uncertainty in
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simulation results, so using a higher number of particles will result in less
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uncertainty. For parallel simulations that use OpenMP and/or MPI, the number of
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particles per generation should be large enough to ensure good load balancing
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between threads. For example, if you are running on a single processor with 32
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cores, each core should have at least 100 particles or so (i.e., at least 3,200
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particles per generation should be used). Using a larger number of particles per
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generation can also help reduce the cost of synchronization and communication
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between batches. For :math:`k` eigenvalue calculations, experts recommend_ at
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least 10,000 particles per generation to avoid any bias in the estimate of
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:math:`k` eigenvalue or tallies.
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.. _recommend: https://permalink.lanl.gov/object/tr?what=info:lanl-repo/lareport/LA-UR-09-03136
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.. _usersguide_source:
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-----------------------------
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External Source Distributions
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-----------------------------
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External source distributions can be specified through the
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:attr:`Settings.source` attribute. If you have a single external source, you can
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create an instance of :class:`openmc.Source` and use it to set the
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:attr:`Settings.source` attribute. If you have multiple external sources with
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varying source strengths, :attr:`Settings.source` should be set to a list of
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:class:`openmc.Source` objects.
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The :class:`openmc.Source` class has four main attributes that one can set:
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:attr:`Source.space`, which defines the spatial distribution,
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:attr:`Source.angle`, which defines the angular distribution,
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:attr:`Source.energy`, which defines the energy distribution, and
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:attr:`Source.time`, which defines the time distribution.
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The spatial distribution can be set equal to a sub-class of
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:class:`openmc.stats.Spatial`; common choices are :class:`openmc.stats.Point` or
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:class:`openmc.stats.Box`. To independently specify distributions in the
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:math:`x`, :math:`y`, and :math:`z` coordinates, you can use
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:class:`openmc.stats.CartesianIndependent`. To independently specify
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distributions using spherical or cylindrical coordinates, you can use
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:class:`openmc.stats.SphericalIndependent` or
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:class:`openmc.stats.CylindricalIndependent`, respectively.
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The angular distribution can be set equal to a sub-class of
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:class:`openmc.stats.UnitSphere` such as :class:`openmc.stats.Isotropic`,
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:class:`openmc.stats.Monodirectional`, or :class:`openmc.stats.PolarAzimuthal`.
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By default, if no angular distribution is specified, an isotropic angular
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distribution is used. As an example of a non-trivial angular distribution, the
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following code would create a conical distribution with an aperture of 30
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degrees pointed in the positive x direction::
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from math import pi, cos
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aperture = 30.0
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mu = openmc.stats.Uniform(cos(aperture/2), 1.0)
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phi = openmc.stats.Uniform(0.0, 2*pi)
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angle = openmc.stats.PolarAzimuthal(mu, phi, reference_uvw=(1., 0., 0.))
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The energy distribution can be set equal to any univariate probability
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distribution. This could be a probability mass function
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(:class:`openmc.stats.Discrete`), a Watt fission spectrum
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(:class:`openmc.stats.Watt`), or a tabular distribution
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(:class:`openmc.stats.Tabular`). By default, if no energy distribution is
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specified, a Watt fission spectrum with :math:`a` = 0.988 MeV and :math:`b` =
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2.249 MeV :sup:`-1` is used.
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The time distribution can be set equal to any univariate probability
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distribution. This could be a probability mass function
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(:class:`openmc.stats.Discrete`), a uniform distribution
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(:class:`openmc.stats.Uniform`), or a tabular distribution
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(:class:`openmc.stats.Tabular`). By default, if no time distribution is
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specified, particles are started at :math:`t=0`.
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As an example, to create an isotropic, 10 MeV monoenergetic source uniformly
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distributed over a cube centered at the origin with an edge length of 10 cm, and
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emitting a pulse of particles from 0 to 10 µs, one
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would run::
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source = openmc.Source()
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source.space = openmc.stats.Box((-5, -5, -5), (5, 5, 5))
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source.angle = openmc.stats.Isotropic()
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source.energy = openmc.stats.Discrete([10.0e6], [1.0])
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source.time = openmc.stats.Uniform(0, 1e-6)
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settings.source = source
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The :class:`openmc.Source` class also has a :attr:`Source.strength` attribute
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that indicates the relative strength of a source distribution if multiple are
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used. For example, to create two sources, one that should be sampled 70% of the
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time and another that should be sampled 30% of the time::
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src1 = openmc.Source()
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src1.strength = 0.7
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...
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src2 = openmc.Source()
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src2.strength = 0.3
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...
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settings.source = [src1, src2]
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Finally, the :attr:`Source.particle` attribute can be used to indicate the
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source should be composed of particles other than neutrons. For example, the
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following would generate a photon source::
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source = openmc.Source()
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source.particle = 'photon'
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...
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settings.source = source
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For a full list of all classes related to statistical distributions, see
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:ref:`pythonapi_stats`.
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File-based Sources
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------------------
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OpenMC can use a pregenerated HDF5 source file by specifying the ``filename``
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argument to :class:`openmc.Source`::
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settings.source = openmc.Source(filename='source.h5')
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Statepoint and source files are generated automatically when a simulation is run
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and can be used as the starting source in a new simulation. Alternatively, a
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source file can be manually generated with the :func:`openmc.write_source_file`
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function. This is particularly useful for coupling OpenMC with another program
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that generates a source to be used in OpenMC.
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A source file based on particles that cross one or more surfaces can be
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generated during a simulation using the :attr:`Settings.surf_source_write`
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attribute::
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settings.surf_source_write = {
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'surfaces_ids': [1, 2, 3],
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'max_particles': 10000
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}
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In this example, at most 10,000 source particles are stored when particles cross
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surfaces with IDs of 1, 2, or 3.
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.. _custom_source:
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Custom Sources
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--------------
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It is often the case that one may wish to simulate a complex source distribution
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that is not possible to represent with the classes described above. For these
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situations, it is possible to define a complex source class containing an externally
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defined source function that is loaded at runtime. A simple example source is shown
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below.
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.. code-block:: c++
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#include <memory> // for unique_ptr
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#include "openmc/random_lcg.h"
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#include "openmc/source.h"
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#include "openmc/particle.h"
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class CustomSource : public openmc::Source
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{
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openmc::SourceSite sample(uint64_t* seed) const
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{
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openmc::SourceSite particle;
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// weight
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particle.particle = openmc::ParticleType::neutron;
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particle.wgt = 1.0;
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// position
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double angle = 2.0 * M_PI * openmc::prn(seed);
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double radius = 3.0;
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particle.r.x = radius * std::cos(angle);
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particle.r.y = radius * std::sin(angle);
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particle.r.z = 0.0;
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// angle
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particle.u = {1.0, 0.0, 0.0};
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particle.E = 14.08e6;
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particle.delayed_group = 0;
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return particle;
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}
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};
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extern "C" std::unique_ptr<CustomSource> openmc_create_source(std::string parameters)
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{
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return std::make_unique<CustomSource>();
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}
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The above source creates monodirectional 14.08 MeV neutrons that are distributed
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in a ring with a 3 cm radius. This routine is not particularly complex, but
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should serve as an example upon which to build more complicated sources.
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.. note:: The source class must inherit from ``openmc::Source`` and
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implement a ``sample()`` function.
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.. note:: The ``openmc_create_source()`` function signature must be declared
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``extern "C"``.
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.. note:: You should only use the ``openmc::prn()`` random number generator.
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In order to build your external source, you will need to link it against the
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OpenMC shared library. This can be done by writing a CMakeLists.txt file:
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.. code-block:: cmake
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cmake_minimum_required(VERSION 3.3 FATAL_ERROR)
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project(openmc_sources CXX)
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add_library(source SHARED source_ring.cpp)
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find_package(OpenMC REQUIRED HINTS <path to openmc>)
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target_link_libraries(source OpenMC::libopenmc)
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After running ``cmake`` and ``make``, you will have a libsource.so (or .dylib)
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file in your build directory. Setting the :attr:`openmc.Source.library`
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attribute to the path of this shared library will indicate that it should be
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used for sampling source particles at runtime.
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.. _parameterized_custom_source:
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Custom Parameterized Sources
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----------------------------
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Some custom sources may have values (parameters) that can be changed between
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runs. This is supported by using the ``openmc_create_source()`` function to
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pass parameters defined in the :attr:`openmc.Source.parameters` attribute to
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the source class when it is created:
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.. code-block:: c++
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#include <memory> // for unique_ptr
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#include "openmc/source.h"
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#include "openmc/particle.h"
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class CustomSource : public openmc::Source {
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public:
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CustomSource(double energy) : energy_{energy} { }
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// Samples from an instance of this class.
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openmc::SourceSite sample(uint64_t* seed) const
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{
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openmc::SourceSite particle;
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// weight
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particle.particle = openmc::ParticleType::neutron;
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particle.wgt = 1.0;
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// position
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particle.r.x = 0.0;
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particle.r.y = 0.0;
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particle.r.z = 0.0;
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// angle
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particle.u = {1.0, 0.0, 0.0};
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particle.E = this->energy_;
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particle.delayed_group = 0;
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return particle;
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}
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private:
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double energy_;
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};
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extern "C" std::unique_ptr<CustomSource> openmc_create_source(std::string parameter) {
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double energy = std::stod(parameter);
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return std::make_unique<CustomSource>(energy);
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}
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As with the basic custom source functionality, the custom source library
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location must be provided in the :attr:`openmc.Source.library` attribute.
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.. _usersguide_entropy:
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---------------
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Shannon Entropy
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---------------
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To assess convergence of the source distribution, the scalar Shannon entropy
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metric is often used in Monte Carlo codes. OpenMC also allows you to calculate
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Shannon entropy at each generation over a specified mesh, created using the
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:class:`openmc.RegularMesh` class. After instantiating a :class:`RegularMesh`,
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you need to specify the lower-left coordinates of the mesh
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(:attr:`RegularMesh.lower_left`), the number of mesh cells in each direction
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(:attr:`RegularMesh.dimension`) and either the upper-right coordinates of the
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mesh (:attr:`RegularMesh.upper_right`) or the width of each mesh cell
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(:attr:`RegularMesh.width`). Once you have a mesh, simply assign it to the
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:attr:`Settings.entropy_mesh` attribute.
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::
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entropy_mesh = openmc.RegularMesh()
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entropy_mesh.lower_left = (-50, -50, -25)
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entropy_mesh.upper_right = (50, 50, 25)
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entropy_mesh.dimension = (8, 8, 8)
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settings.entropy_mesh = entropy_mesh
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If you're unsure of what bounds to use for the entropy mesh, you can try getting
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a bounding box for the entire geometry using the :attr:`Geometry.bounding_box`
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property::
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geom = openmc.Geometry()
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...
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m = openmc.RegularMesh()
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m.lower_left, m.upper_right = geom.bounding_box
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m.dimension = (8, 8, 8)
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settings.entropy_mesh = m
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----------------
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Photon Transport
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----------------
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In addition to neutrons, OpenMC is also capable of simulating the passage of
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photons through matter. This allows the modeling of photon production from
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neutrons as well as pure photon calculations. The
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:attr:`Settings.photon_transport` attribute can be used to enable photon
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transport::
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settings.photon_transport = True
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The way in which OpenMC handles secondary charged particles can be specified
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with the :attr:`Settings.electron_treatment` attribute. By default, the
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:ref:`thick-target bremsstrahlung <ttb>` (TTB) approximation is used to generate
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bremsstrahlung radiation emitted by electrons and positrons created in photon
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interactions. To neglect secondary bremsstrahlung photons and instead deposit
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all energy from electrons locally, the local energy deposition option can be
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selected::
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settings.electron_treatment = 'led'
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.. note::
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Some features related to photon transport are not currently implemented,
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including:
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* Tallying photon energy deposition.
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* Generating a photon source from a neutron calculation that can be used
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for a later fixed source photon calculation.
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* Photoneutron reactions.
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--------------------------
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Generation of Output Files
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--------------------------
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A number of attributes of the :class:`openmc.Settings` class can be used to
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control what files are output and how often. First, there is the
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:attr:`Settings.output` attribute which takes a dictionary having keys
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'summary', 'tallies', and 'path'. The first two keys controls whether a
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``summary.h5`` and ``tallies.out`` file are written, respectively (see
|
|
:ref:`result_files` for a description of those files). By default, output files
|
|
are written to the current working directory; this can be changed by setting the
|
|
'path' key. For example, if you want to disable the ``tallies.out`` file and
|
|
write the ``summary.h5`` to a directory called 'results', you'd specify the
|
|
:attr:`Settings.output` dictionary as::
|
|
|
|
settings.output = {
|
|
'tallies': False,
|
|
'path': 'results'
|
|
}
|
|
|
|
Generation of statepoint and source files is handled separately through the
|
|
:attr:`Settings.statepoint` and :attr:`Settings.sourcepoint` attributes. Both of
|
|
those attributes expect dictionaries and have a 'batches' key which indicates at
|
|
which batches statepoints and source files should be written. Note that by
|
|
default, the source is written as part of the statepoint file; this behavior can
|
|
be changed by the 'separate' and 'write' keys of the
|
|
:attr:`Settings.sourcepoint` dictionary, the first of which indicates whether
|
|
the source should be written to a separate file and the second of which
|
|
indicates whether the source should be written at all.
|
|
|
|
As an example, to write a statepoint file every five batches::
|
|
|
|
settings.batches = n
|
|
settings.statepoint = {'batches': range(5, n + 5, 5)}
|
|
|
|
Particle Track Files
|
|
--------------------
|
|
|
|
OpenMC can generate a particle track file that contains track information
|
|
(position, direction, energy, time, weight, cell ID, and material ID) for each
|
|
state along a particle's history. There are two ways to indicate which particles
|
|
and/or how many particles should have their tracks written. First, you can
|
|
identify specific source particles by their batch, generation, and particle ID
|
|
numbers::
|
|
|
|
settings.tracks = [
|
|
(1, 1, 50),
|
|
(2, 1, 30),
|
|
(5, 1, 75)
|
|
]
|
|
|
|
In this example, track information would be written for the 50th particle in the
|
|
1st generation of batch 1, the 30th particle in the first generation of batch 2,
|
|
and the 75th particle in the 1st generation of batch 5. Unless you are using
|
|
more than one generation per batch (see :ref:`usersguide_particles`), the
|
|
generation number should be 1. Alternatively, you can run OpenMC in a mode where
|
|
track information is written for *all* particles, up to a user-specified limit::
|
|
|
|
openmc.run(tracks=True)
|
|
|
|
In this case, you can control the maximum number of source particles for which
|
|
tracks will be written as follows::
|
|
|
|
settings.max_tracks = 1000
|
|
|
|
Particle track information is written to the ``tracks.h5`` file, which can be
|
|
analyzed using the :class:`~openmc.Tracks` class::
|
|
|
|
>>> tracks = openmc.Tracks('tracks.h5')
|
|
>>> tracks
|
|
[<Track (1, 1, 50): 151 particles>,
|
|
<Track (2, 1, 30): 191 particles>,
|
|
<Track (5, 1, 75): 81 particles>]
|
|
|
|
Each :class:`~openmc.Track` object stores a list of track information for every
|
|
primary/secondary particle. In the above example, the first source particle
|
|
produced 150 secondary particles for a total of 151 particles. Information for
|
|
each primary/secondary particle can be accessed using the
|
|
:attr:`~openmc.Track.particle_tracks` attribute::
|
|
|
|
>>> first_track = tracks[0]
|
|
>>> first_track.particle_tracks
|
|
[<ParticleTrack: neutron, 120 states>,
|
|
<ParticleTrack: photon, 6 states>,
|
|
<ParticleTrack: electron, 2 states>,
|
|
<ParticleTrack: electron, 2 states>,
|
|
<ParticleTrack: electron, 2 states>,
|
|
...
|
|
<ParticleTrack: electron, 2 states>,
|
|
<ParticleTrack: electron, 2 states>]
|
|
>>> photon = first_track.particle_tracks[1]
|
|
|
|
The :class:`~openmc.ParticleTrack` class is a named tuple indicating the
|
|
particle type and then a NumPy array of the "states". The states array is a
|
|
compound type with a field for each physical quantity (position, direction,
|
|
energy, time, weight, cell ID, and material ID). For example, to get the
|
|
position for the above particle track::
|
|
|
|
>>> photon.states['r']
|
|
array([(-11.92987939, -12.28467295, 0.67837495),
|
|
(-11.95213726, -12.2682 , 0.68783964),
|
|
(-12.2682 , -12.03428339, 0.82223855),
|
|
(-12.5913778 , -11.79510096, 0.95966298),
|
|
(-12.6622572 , -11.74264344, 0.98980293),
|
|
(-12.6907775 , -11.7215357 , 1.00193058)],
|
|
dtype=[('x', '<f8'), ('y', '<f8'), ('z', '<f8')])
|
|
|
|
The full list of fields is as follows:
|
|
|
|
:r: Position (each direction in [cm])
|
|
:u: Direction
|
|
:E: Energy in [eV]
|
|
:time: Time in [s]
|
|
:wgt: Weight
|
|
:cell_id: Cell ID
|
|
:cell_instance: Cell instance
|
|
:material_id: Material ID
|
|
|
|
Both the :class:`~openmc.Tracks` and :class:`~openmc.Track` classes have a
|
|
``filter`` method that allows you to get a subset of tracks that meet a given
|
|
criteria. For example, to get all tracks that involved a photon::
|
|
|
|
>>> tracks.filter(particle='photon')
|
|
[<Track (1, 1, 50): 151 particles>,
|
|
<Track (2, 1, 30): 191 particles>,
|
|
<Track (5, 1, 75): 81 particles>]
|
|
|
|
The :meth:`openmc.Tracks.filter` method returns a new :class:`~openmc.Tracks`
|
|
instance, whereas the :meth:`openmc.Track.filter` method returns a new
|
|
:class:`~openmc.Track` instance.
|
|
|
|
.. note:: If you are using an MPI-enabled install of OpenMC and run a simulation
|
|
with more than one process, a separate track file will be written for
|
|
each MPI process with the filename ``tracks_p#.h5`` where # is the
|
|
rank of the corresponding process. Multiple track files can be
|
|
combined with the :ref:`scripts_track_combine` script:
|
|
|
|
.. code-block:: sh
|
|
|
|
openmc-track-combine tracks_p*.h5 --out tracks.h5
|