Experiments with Mesh Moving and Local Refinement Algorithms for Hyperbolic Systems

摘要

Computational experiments using adaptive procedures that combine mesh motion and local mesh refinement are presented for one- and two-dimensional time-dependent partial differential systems. The adaptive algorithms were developed by Arney and Flaherty and involve motion of a coarse base mesh that isolates spatially distinct phenomena and local mesh refinement that recursively divides the time step and spatial cells of the moving base mesh in regions where a refinement indicator exceeds a prescribed tolerance. Numerical solutions of the Euler equations using a MacCormack finite volume scheme are presented for one- and two-dimensional shock problems. (kr)