From 38c73944d2e4cd7a22261278313274791b076848 Mon Sep 17 00:00:00 2001
From: bmundim <bmundim@c83d129a-5a75-4d5a-9c4d-ed3a5855bf45>
Date: Fri, 18 May 2012 05:17:13 +0000
Subject: Correct S_i conserved variable index.

git-svn-id: http://svn.einsteintoolkit.org/cactus/EinsteinEvolve/GRHydro/trunk@338 c83d129a-5a75-4d5a-9c4d-ed3a5855bf45
---
 doc/documentation.tex | 8 ++++----
 1 file changed, 4 insertions(+), 4 deletions(-)

(limited to 'doc')

diff --git a/doc/documentation.tex b/doc/documentation.tex
index 9387fbf..b6f3ff9 100644
--- a/doc/documentation.tex
+++ b/doc/documentation.tex
@@ -308,8 +308,8 @@ the flux conservative form
 where ${\bf q}$ is a set of {\it conserved variables}, ${\bf f}^{(i)}
 ({\bf q})$ the fluxes and ${\bf s} ({\bf q})$ the source
 terms.
-The five conserved variables are labeled $D$, $S^i$, and $\tau$, where
-$D$ is the generalized particle number density, $S^i$ are the generalized
+The five conserved variables are labeled $D$, $S_i$, and $\tau$, where
+$D$ is the generalized particle number density, $S_i$ are the generalized
 momenta in each direction, and $\tau$ is an internal energy term.
 These conserved variables are composed from a set of {\it primitive variables},
 which are $\rho$, the rest-mass density, $p$, the
@@ -334,7 +334,7 @@ energy, and $W$, the Lorentz factor, via the following relations
 \begin{eqnarray}
   \label{eq:prim2con}
    D &=& \sqrt{\gamma}W\rho \nonumber \\
-   S^i &=& \sqrt{\gamma} \rho h W^2 v^i \nonumber \\
+   S_i &=& \sqrt{\gamma} \rho h W^2 v_i \nonumber \\
    \tau &=& \sqrt{\gamma}\left( \rho h W^2 - p\right) - D, 
 \end{eqnarray}
 where $\gamma$ is the determinant of the spatial 3-metric $\gamma_{ij}$ and 
@@ -1796,7 +1796,7 @@ used in three separate places. These are
   attempt is made to convert to primitive variables. If the iterative
   algorithm returns a negative (and hence unphysical) value of $\rho$,
   then $\rho$ is reset to the atmosphere value, the velocities are set
-  to zero, and $P$, $\epsilon$, $S^i$ and $\tau$ are reset to be
+  to zero, and $P$, $\epsilon$, $S_i$ and $\tau$ are reset to be
   consistent with $\rho$ (and $D$). Note that even though the
   polytropic equation of state gives us sufficient information to
   calculate a consistent value of $D$, this is not done.
-- 
cgit v1.2.3