Systematic assessment reveals DGFEM accuracy issues for supersonic flow, suggesting the need for improved methodologies.
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.
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ElMohsen et al. (2025) studied this question.
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