Systematic Assessment of DGFEM Accuracy for Supersonic Flow

Document Type : Original Article

Authors

1 Aerospace Engineering Department, Cairo University, Giza, Egypt.

2 Smart Engineering Systems Research Center (SESC), Nile University, Giza, Egypt., Department of Engineering Mathematics and Physics, Secondment from Cairo University, Giza, Egypt.

10.1088/1742-6596/3070/1/012012

Abstract

The modern High-Order Discontinuous Galerkin Finite Element Method (DGFEM) is considered. The method offers the advantages of the finite volume and the traditional finite element methods within a unified framework. However, the performance of the DGFEM may be affected for supersonic flow because of the limiters. Hence, a systematic assessment of the accuracy of the DGFEM is performed. The improved accuracy of the DGFEM is quantified and the benefits are highlighted.