Preprint 1997-034
2D Shallow Water Equations by Composite Schemes
Richard Liska and Burton Wendroff
Abstract:
Composite schemes are formed by global composition of several
Lax-Wendroff steps followed by a diffusive Lax-Friedrichs or WENO step
which filters out the oscillations around shocks typical for the
Lax-Wendroff scheme. These schemes are applied to the shallow water
equations in 2D. The Lax-Friedrichs composite is also formulated for a
trapezoidal mesh, which is necessary in several example problems. The
suitability of the composite schemes for the shallow water equations
is demonstrated on several examples including the circular dam break
problem, the shock focussing problem and supercritical channel flow
problems.
- Paper:
- Available as PostScript (2.0 Mbytes) or as
gzipped PostScript (440 Kbytes; uncompress
using gunzip).
- Title:
- 2D shallow water equations by composite schemes
- Author(s):
- Richard Liska ,
<liska@siduri.fjfi.cvut.cz>
- Burton Wendroff,
<bbw@lanl.gov>
- Publishing information:
- Technical Report LAUR-97-4879, LANL, Los Alamos, 1997.
- Comments:
-
- Submitted by:
-
<liska@siduri.fjfi.cvut.cz>
December 5 1997.
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Last modified: Fri Dec 5 11:03:59 1997