Preprint 2001-031
An improved quadrature rule for the flux-computation in staggered central
difference schemes in multidimensions
Knut-Andreas Lie and Sebastian Noelle
Abstract:
We present a new second-order, nonoscillatory, central difference scheme on
two-dimensional, staggered, Cartesian grids for systems of conservation
laws. The scheme uses a new, carefully designed integration rule for the
flux computations and thereby takes more propagation directions into
account. This effectively reduces grid orientation effects produced for
two-dimensional radially symmetric gas flows and improves the accuracy
for smooth solutions.
- Paper:
- Available as PostScript (756 Kbytes) or
gzipped PostScript (173 Kbytes; uncompress
using gunzip).
- Author(s):
- Knut-Andreas Lie,
<Knut-Andreas.Lie@math.sintef.no>
- Sebastian Noelle,
<noelle@iam.uni-bonn.de>
- Publishing information:
- To appear in J. Sci. Comp.
- Comments:
- This is a revised version of Preprint
2000-021.
- Submitted by:
-
<Knut-Andreas.Lie@math.sintef.no>
August 17 2001.
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Last modified: Wed Nov 21 11:02:17 MET 2001