User: knarf Date: 2011/11/14 12:22 AM

Modified: / ET.tex

Log: cosmetics in future work

File Changes:

Directory: / ============

File [modified]: ET.tex Delta lines: +4 -4 =================================================================== --- ET.tex 2011-11-14 06:17:50 UTC (rev 196) +++ ET.tex 2011-11-14 06:22:01 UTC (rev 197) @@ -2936,13 +2936,13 @@ the computational domain, it does not increase the convergence order of the underlying numerical methods. Simulations of BHs can easily make use of high-order numerical methods, with eighth-order - convergence commonly seen at present. However, - most GRMHD schemes, while implementing high-resolution + convergence common at present. However, + most GRMHD schemes, though they implement high-resolution shock-capturing methods, - are still limited to 2nd-order numerical accuracy in the + are limited to 2nd-order numerical accuracy in the hydrodynamic/MHD sector while performing curvature evolution with 4th-order accuracy or more. Higher order - GRMHD schemes are in use in fixed-background simulations + GRMHD schemes are used in fixed-background simulations (e.g.,~\cite{Tchekhovskoy:2007zn}), but still await implementation in fully dynamical simulations.