[Commits] [svn:einsteintoolkit] Paper_EinsteinToolkit_2010/ (Rev. 98)
knarf at cct.lsu.edu
knarf at cct.lsu.edu
Mon Aug 1 11:06:00 CDT 2011
User: knarf
Date: 2011/08/01 11:06 AM
Modified:
/
ET.tex
Log:
get some of the structure of the evolution methods straight
File Changes:
Directory: /
============
File [modified]: ET.tex
Delta lines: +5 -6
===================================================================
--- ET.tex 2011-08-01 15:50:41 UTC (rev 97)
+++ ET.tex 2011-08-01 16:05:59 UTC (rev 98)
@@ -966,9 +966,8 @@
one may also apply a uniform velocity to the neutron star, though this does not affect
the ODE solution nor the resulting density profile.
-\subsection{Spacetime Curvature Evolution}
+\subsection{Spacetime Curvature Evolution}\todo{Peter: move}
\label{sec:evol}
-\todo{Josh and Christian in charge}
In the following, we assume that the reader is familiar with the
basics of numerical relativity and GR hydrodynamics. Detailed
@@ -1004,7 +1003,7 @@
the relativistic specific enthalpy with $\epsilon$ and $P$ being the
specific internal energy and the pressure, respectively.
-\subsubsection{Spacetime Curvature Evolution}
+\subsection{Spacetime Curvature Evolution}
\label{sec:Kevol}
The Einstein Toolkit
curvature evolution code \codename{McLachlan}~\cite{brown:09,reisswig:11ccwave} is
@@ -1173,7 +1172,7 @@
-\paragraph{Initial Conditions}
+\subsubsection{Initial Conditions}
Initial conditions from the ADM variables $g_{ij}$, $K_{ij}$, lapse
$\alpha$, and shift $\beta^i$, as provided by the initial data
@@ -1197,7 +1196,7 @@
then defined via the points in the interior and the previously
calculated layers.
-\paragraph{Boundary Conditions}
+\subsubsection{Boundary Conditions}
\label{sec:curv_boundaries}
During time evolution, a Sommerfeld-type radiative boundary condition
@@ -1266,7 +1265,7 @@
gauge conditions used in \codename{McLachlan}.
-\subsection{Hydrodynamics: \codename{GRHydro}}\pages{Christian and Josh}
+\subsection{Hydrodynamics Evolution}\pages{Christian and Josh}
\label{sec:GRHydro}
{\color{red} This text is copied from Reisswig et al. It needs to be expanded a bit and we probably want to talk about the numerical methods a bit more.}
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