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.

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Moving-mesh methods for one-dimensional hyperbolic problems using CLAWPACK
Riccardo Fazio, <>
Randall J. LeVeque, <>
Publishing information:
To appear in Comp. Math. Appl.
Revised version Jan 23 2001.
Submitted by:
<> May 8 1998.

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