From ac0ad0bac2aaae0b71f625248b56933bc1138699 Mon Sep 17 00:00:00 2001 From: Olek <45364492+yardasol@users.noreply.github.com> Date: Fri, 28 Jun 2024 10:18:17 -0400 Subject: [PATCH] Fix hyperlinks in `random_ray.rst` (#3064) --- docs/source/methods/random_ray.rst | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/docs/source/methods/random_ray.rst b/docs/source/methods/random_ray.rst index d46d3ad4165..7a29a187516 100644 --- a/docs/source/methods/random_ray.rst +++ b/docs/source/methods/random_ray.rst @@ -10,7 +10,7 @@ Random Ray What is Random Ray? ------------------- -`Random ray `_ is a stochastic transport method, closely related to +`Random ray `_ 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 @@ -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 `_, `2 `_, `3 `_), and some of those +(`1 `_, `2 `_, `3 `_), 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. @@ -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. -`_ and `Cosgrove and Tramm `_. Namely, the second +`_ and `Cosgrove and Tramm `_. Namely, the second term: .. math:: @@ -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 `_ was developed (known +Thus, an `on-the-fly approximation method `_ 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