[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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