DISCONTINUOUS GALERKIN-MLP METHODS FOR COMPRESSIBLE FLOW ANALYSES ON UNSTRUCTURED GRIDS

Abstract

The present paper deals with the continuous work of extending multi-dimensional limiting process (MLP) for high speed compressible flows (or hyperbolic conservation laws), which has been quite successful in finite volume method (FVM), into discontinuous Galerkin (DG) methods. Based on successful analyses and implementations of the MLP slope limiting in FVM, MLP is applicable into DG framework with the MLP-based troubled-cell marker and the MLP slope limiter. Through several test cases, it is observed that the newly developed DG-MLP methods provide quite desirable performances in controlling numerical oscillations as well as capturing key flow features.