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Fix hyperlinks in random_ray.rst (#3064)
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yardasol authored Jun 28, 2024
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Expand Up @@ -10,7 +10,7 @@ Random Ray
What is Random Ray?
-------------------

`Random ray <Tramm-2017a>`_ is a stochastic transport method, closely related to
`Random ray <Tramm-2017a_>`_ is a stochastic transport method, closely related to
the deterministic Method of Characteristics (MOC) [Askew-1972]_. Rather than
each ray representing a single neutron as in Monte Carlo, it represents a
characteristic line through the simulation geometry upon which the transport
Expand Down Expand Up @@ -82,7 +82,7 @@ Random Ray Numerical Derivation

In this section, we will derive the numerical basis for the random ray solver
mode in OpenMC. The derivation of random ray is also discussed in several papers
(`1 <Tramm-2017a>`_, `2 <Tramm-2017b>`_, `3 <Tramm-2018>`_), and some of those
(`1 <Tramm-2017a_>`_, `2 <Tramm-2017b_>`_, `3 <Tramm-2018_>`_), and some of those
derivations are reproduced here verbatim. Several extensions are also made to
add clarity, particularly on the topic of OpenMC's treatment of cell volumes in
the random ray solver.
Expand Down Expand Up @@ -428,7 +428,7 @@ of terms. Mathematically, such cancellation allows us to arrive at the following
This derivation appears mathematically sound at first glance but unfortunately
raises a serious issue as discussed in more depth by `Tramm et al.
<Tramm-2020>`_ and `Cosgrove and Tramm <Cosgrove-2023>`_. Namely, the second
<Tramm-2020_>`_ and `Cosgrove and Tramm <Cosgrove-2023_>`_. Namely, the second
term:

.. math::
Expand Down Expand Up @@ -607,7 +607,7 @@ guess can be made by taking the isotropic source from the FSR the ray was
sampled in, direct usage of this quantity would result in significant bias and
error being imparted on the simulation.

Thus, an `on-the-fly approximation method <Tramm-2017a>`_ was developed (known
Thus, an `on-the-fly approximation method <Tramm-2017a_>`_ was developed (known
as the "dead zone"), where the first several mean free paths of a ray are
considered to be "inactive" or "read only". In this sense, the angular flux is
solved for using the MOC equation, but the ray does not "tally" any scalar flux
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