Multiresolution and Adaptive Mesh Refinement schemes: a comparative study

Sonia Gomes
Department of Mathematics
University of Campinas
Campinas, Brazil


We present some comparison results between two adaptive numerical methods, namely the adaptive multiresolution method and the adaptive mesh refinement method, for the resolution of compressible Euler equations. The results are compared with respect to accuracy and computational efficiency, in terms of CPU time and memory requirements, with the corresponding finite volume scheme on a regular fine grid. For both methods, we use second-order schock-capturing schemes for the space discretization, together with explicit second-order Runge-Kutta time integration.