Moving-Mesh Methods for One-Dimensional Hyperbolic Problems using
Riccardo Fazio and Randall J. LeVeque
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
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- Moving-mesh methods for one-dimensional hyperbolic problems using
- 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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