Application of discontinuous Galerkin method in supersonic and hypersonic gas flows
| Autor: | Yeda Lian, Hong Xiao, Donghuan Wang |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Hypersonic speed
Mach reflection Hypersonic vehicle 010103 numerical & computational mathematics Mechanics 01 natural sciences 010101 applied mathematics Computational Mathematics symbols.namesake Computational Theory and Mathematics Discontinuous Galerkin method Modeling and Simulation symbols Cylinder Supersonic speed Flux limiter 0101 mathematics Mathematics |
| Zdroj: | Computers & Mathematics with Applications. 80:227-246 |
| ISSN: | 0898-1221 |
| Popis: | Most high-order methods often suffer from two- and three-dimensional unstructured grids, particularly, for supersonic and hypersonic gas flows. We applied a high-order mixed-modal discontinuous Galerkin method with a coupled slope limiter to investigate multidimensional cases of supersonic and hypersonic gas flows. Furthermore, we provide detailed implementations and validations of two- and three-dimensional problems. Examples include double Mach reflection problems and supersonic and hypersonic gas flows around a cylinder. In addition, we provide case studies of a 3D hypersonic vehicle to evaluate its computational performance on complex hypersonic gas flows. This study can be regarded as an attempt to apply the discontinuous Galerkin method to engineering problems. |
| Databáze: | OpenAIRE |
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