An Anisotropic Error Estimator for Compressible Flow Problems

Abstract

In this article, a local anisotropic a posteriori error estimator is presented to solve compressible flow equations using automatic mesh generators. The components of this association were selected among several choices available (Almeida et. al. 1998). (Borges et ai, 1998) giving a powerful computational tool. The main aim of this simulation is to capture solution discontinuities (in this case shocks), using the least amount of computational resources (elements) compatible with a solution of good quality. This leads to high aspect ratio elements (stretching). In order to achieve this, a directional error estimator was specifically selecteel.
The numerical results show gooel behaviour of the error estimator resulting in strongly adapted meshes in few steps (typically 3 or 4 iterations).