[Commits] [svn:einsteintoolkit] Paper_EinsteinToolkit_2010/ (Rev. 246)
ian.hinder at aei.mpg.de
ian.hinder at aei.mpg.de
Fri Nov 18 06:24:53 CST 2011
User: hinder
Date: 2011/11/18 06:24 AM
Modified:
/
ET.tex
Log:
ET.tex: Mention other finite differencing orders and W method for McLachlan
File Changes:
Directory: /
============
File [modified]: ET.tex
Delta lines: +5 -3
===================================================================
--- ET.tex 2011-11-15 22:03:36 UTC (rev 245)
+++ ET.tex 2011-11-18 12:24:53 UTC (rev 246)
@@ -1066,10 +1066,12 @@
(BSSN) conformal-tracefree reformulation
\cite{Shibata:1995we,Baumgarte:1998te,Alcubierre:2000xu} of the original
Arnowitt-Deser-Misner (ADM) formalism~\cite{Arnowitt:1962hi} is employed.
-\codename{McLachlan} uses fourth-order accurate finite differencing
-for the spacetime variables and adds a fifth-order Kreiss-Oliger
+\codename{McLachlan} uses finite differencing
+for the spacetime variables (orders 2, 4, 6 and 8 are currently implemented)
+and adds a Kreiss-Oliger
dissipation term to remove high frequency noise.
-The evolved variables are the conformal factor $\Phi$, the conformal
+The evolved variables are the conformal factor $\Phi$ (the $W$ method
+\cite{Marronetti:2007wz} is also implemented), the conformal
3-metric $\tilde{\gamma}_{ij}$, the trace $K$ of the extrinsic curvature,
the trace free extrinsic curvature $A_{ij}$ and the conformal connection
functions $\tilde{\Gamma}^i$. These are defined in terms of the
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