Application of discontinuous Galerkin method in supersonic and hypersonic gas flows

被引：0

作者：

Wang, Donghuan ^{[1
]}

Lian, Yeda ^{[2
]}

Xiao, Hong ^{[1
]}

机构：

[1] Northwestern Polytech Univ, Yangtze River Delta Res Inst NPU, Taicang 215400, Jiangsu, Peoples R China

[2] Northwestern Polytech Univ, Sch Mech Civil Engn & Architecture, Xian 710072, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2020年 / 80卷 / 01期

关键词：

Hypersonic gas flows; Multidimensional gas flows; Unstructured grids; Discontinuous Galerkin; FINITE-ELEMENT-METHOD; COMPRESSIBLE NAVIER-STOKES; CARTESIAN GRID METHOD; HERMITE WENO SCHEMES; CONSERVATION-LAWS; LIMITING APPROACH; SIMULATION; LIMITERS; DISCRETIZATIONS; MODELS;

D O I：

10.1016/j.camwa.2020.03.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页码：227 / 246

页数：20

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