minor typo fix

This commit is contained in:
Jonathan 2022-02-14 23:36:14 +00:00
parent c8639e1630
commit 1da0eac5d5
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,
The parameter :math:`\widetilde{D}_{l,m,n}^{u,g}` represents the linear
coupling term between current and flux. These current relationships can be
sustituted into eq. :eq:`eq_neut_bal` to produce a linear system of multigroup
substituted into eq. :eq:`eq_neut_bal` to produce a linear system of multigroup
diffusion equations for each spatial cell and energy group. However, a solution
to these equations is not consistent with a higher order transport solution
unless equivalence factors are present. This is because both the diffusion
approximation, governed by Fick's Law, and spatial trunction error will produce
approximation, governed by Fick's Law, and spatial truncation error will produce
differences. Therefore, a nonlinear parameter,
:math:`\widehat{D}_{l,m,n}^{u,g}`, is added to eqs. :eq:`eq_cell_cell` and
:eq:`eq_cell_bound`. These equations are, respectively,

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@ -9,7 +9,7 @@ Continuous-Energy Data
----------------------
In OpenMC, the data governing the interaction of neutrons with various nuclei
for continous-energy problems are represented using an HDF5 format that can be
for continuous-energy problems are represented using an HDF5 format that can be
produced by converting files in the ACE format, which is used by MCNP_ and
Serpent_. ACE-format data can be generated with the NJOY_ nuclear data
processing system, which converts raw `ENDF/B data`_ into linearly-interpolable

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@ -7,7 +7,7 @@ Heating and Energy Deposition
As particles traverse a problem, some portion of their energy is deposited at
collision sites. This energy is deposited when charged particles, including
electrons and recoil nuclei, undergo electromagnetic interactions with
surrounding electons and ions. The information describing how much energy
surrounding electrons and ions. The information describing how much energy
is deposited for a specific reaction is referred to as
"heating numbers" and can be computed using a program like NJOY with the
``heatr`` module.

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@ -45,7 +45,7 @@ following steps:
- Initialize the pseudorandom number generator.
- Read the contiuous-energy or multi-group cross section data specified in
- Read the continuous-energy or multi-group cross section data specified in
the problem.
- If using a special energy grid treatment such as a union energy grid or

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@ -182,7 +182,7 @@ Inelastic Scattering
--------------------
Note that the multi-group mode makes no distinction between elastic or
inelastic scattering reactions. The spceific multi-group scattering
inelastic scattering reactions. The specific multi-group scattering
implementation is discussed in the :ref:`multi-group-scatter` section.
The major algorithms for inelastic scattering were described in previous

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@ -293,7 +293,7 @@ Cost of Nearest Neighbor Algorithm
----------------------------------
With the communication cost of the traditional fission bank algorithm
quantified, we now proceed to discuss the communicatin cost of the proposed
quantified, we now proceed to discuss the communication cost of the proposed
algorithm. Comparing the cost of communication of this algorithm with the
traditional algorithm is not trivial due to fact that the cost will be a
function of how many fission sites are sampled on each node. If each node
@ -398,7 +398,7 @@ equation :eq:`k-to-source`, we can relate the stochastic eigenvalue to the
integral of the noise component of the source distribution as
.. math::
:label: noise-integeral
:label: noise-integral
N\hat{k} = Nk + \sqrt{N} \int \hat{\epsilon}(\mathbf{r}) \: d\mathbf{r}.