Numerical Experiments with the Multiresolution Scheme for the Compressible Euler Equations

Abstract

We investigate the performance of the multiresolution method. The method was recently proposed as a way to speed up computations of compressible flows. The method is based on truncating wavelet coefficients. The method showed good performance on one-dimensional test problems. We implement the method in two space dimensions for a more complex compressible flow computation, intended to simulate conditions under which many production CFD codes are running. Our conclusion is that we can in many cases reduce the CPU time, but that the gain in efficiency is not as large as for the one-dimensional problems. We furthermore observe that it is essential to use the adaptive multiresolution method, which mixes centered differences with TVD methods.