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