Preprint 1998-020
Moving-Mesh Methods for One-Dimensional Hyperbolic Problems using
CLAWPACK
Riccardo Fazio and Randall J. LeVeque
Abstract:
We developed a one-dimensional moving-mesh method for hyperbolic systems of
conservation laws. This method is based on the high resolution finite-volume
"wave propagation method" implemented in the CLAWPACK software package. A
modified system of conservation laws is solved on a fixed, uniform
computational grid, with a grid mapping function computed simultaneously in
such a way that in physical space certain features are tracked by cell
interfaces. The method is tested on a shock-tube problem with multiple
reflections where the contact discontinuity is tracked, and also an a problem
with a moving piston bounding a tube containing two distinct gases. In this
case the moving mesh is used to track both the contact discontinuity and the
piston motion.
- Paper:
- Available as PostScript (2.0 Mbytes) or
gzipped PostScript (492 Kbytes; uncompress
using gunzip).
- Title:
- Moving-mesh methods for one-dimensional hyperbolic problems using
CLAWPACK
- Author(s):
-
Riccardo Fazio,
<rfazio@dipmat.unime.it>
- Randall J. LeVeque,
<rjl@amath.washington.edu>
- Publishing information:
- To appear in Comp. Math. Appl.
- Comments:
- Revised version Jan 23 2001.
- Submitted by:
-
<rfazio@dipmat.unime.it>
May 8 1998.
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