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.
mailto:conservation@math.ntnu.no Last modified: Tue Jan 23 08:47:29 MET 2001