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minor typo fix
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10 changed files with 13 additions and 13 deletions
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@ -266,11 +266,11 @@ and eq. :eq:`eq_cell_bound` can be written in this generic form,
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The parameter :math:`\widetilde{D}_{l,m,n}^{u,g}` represents the linear
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coupling term between current and flux. These current relationships can be
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sustituted into eq. :eq:`eq_neut_bal` to produce a linear system of multigroup
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substituted into eq. :eq:`eq_neut_bal` to produce a linear system of multigroup
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diffusion equations for each spatial cell and energy group. However, a solution
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to these equations is not consistent with a higher order transport solution
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unless equivalence factors are present. This is because both the diffusion
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approximation, governed by Fick's Law, and spatial trunction error will produce
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approximation, governed by Fick's Law, and spatial truncation error will produce
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differences. Therefore, a nonlinear parameter,
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:math:`\widehat{D}_{l,m,n}^{u,g}`, is added to eqs. :eq:`eq_cell_cell` and
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:eq:`eq_cell_bound`. These equations are, respectively,
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@ -9,7 +9,7 @@ Continuous-Energy Data
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----------------------
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In OpenMC, the data governing the interaction of neutrons with various nuclei
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for continous-energy problems are represented using an HDF5 format that can be
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for continuous-energy problems are represented using an HDF5 format that can be
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produced by converting files in the ACE format, which is used by MCNP_ and
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Serpent_. ACE-format data can be generated with the NJOY_ nuclear data
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processing system, which converts raw `ENDF/B data`_ into linearly-interpolable
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@ -7,7 +7,7 @@ Heating and Energy Deposition
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As particles traverse a problem, some portion of their energy is deposited at
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collision sites. This energy is deposited when charged particles, including
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electrons and recoil nuclei, undergo electromagnetic interactions with
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surrounding electons and ions. The information describing how much energy
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surrounding electrons and ions. The information describing how much energy
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is deposited for a specific reaction is referred to as
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"heating numbers" and can be computed using a program like NJOY with the
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``heatr`` module.
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@ -45,7 +45,7 @@ following steps:
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- Initialize the pseudorandom number generator.
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- Read the contiuous-energy or multi-group cross section data specified in
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- Read the continuous-energy or multi-group cross section data specified in
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the problem.
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- If using a special energy grid treatment such as a union energy grid or
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@ -182,7 +182,7 @@ Inelastic Scattering
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--------------------
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Note that the multi-group mode makes no distinction between elastic or
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inelastic scattering reactions. The spceific multi-group scattering
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inelastic scattering reactions. The specific multi-group scattering
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implementation is discussed in the :ref:`multi-group-scatter` section.
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The major algorithms for inelastic scattering were described in previous
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@ -293,7 +293,7 @@ Cost of Nearest Neighbor Algorithm
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----------------------------------
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With the communication cost of the traditional fission bank algorithm
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quantified, we now proceed to discuss the communicatin cost of the proposed
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quantified, we now proceed to discuss the communication cost of the proposed
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algorithm. Comparing the cost of communication of this algorithm with the
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traditional algorithm is not trivial due to fact that the cost will be a
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function of how many fission sites are sampled on each node. If each node
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@ -398,7 +398,7 @@ equation :eq:`k-to-source`, we can relate the stochastic eigenvalue to the
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integral of the noise component of the source distribution as
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.. math::
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:label: noise-integeral
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:label: noise-integral
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N\hat{k} = Nk + \sqrt{N} \int \hat{\epsilon}(\mathbf{r}) \: d\mathbf{r}.
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