A parameter-free moving mesh method applied to conservation laws

Abstract

Proceedings of MASCOT'05, EUA4X#8-Poster Session, Lecce, Italy, Oct 2005. - Adaptive techniques for solving partial differential equations (PDEs) have existed for decades, but are often finetuned for handling very specific problems. We have implemented a moving mesh finite volume solver that is suitable for nonlinear systems of hyperbolic PDEs in general. It employs a self-regulating monitor function to steer mesh movement, so that no parameter finetuning by hand is necessary. Application to problems from (magneto-)hydrodynamics show the robustness of this method.