BEHAVIOR OF THE DISCONTINUOUS GALERKIN METHOD FOR COMPRESSIBLE FLOWS AT LOW MACH NUMBER ON TRIANGLES AND TETRAHEDRONS

被引：3
|
作者：
Jung, Jonathan [1 ,2 ]
Perrier, Vincent [1 ,2 ]
机构：
[1] UPPA, LMA, Pau, France
[2] Inria Bordeaux Sud Ouest, Cagire Team, Talence, France
来源：
SIAM JOURNAL ON SCIENTIFIC COMPUTING | 2024年 / 46卷 / 01期
关键词：
discontinuous Galerkin methods; wave system; Euler system; long time limit; low Mach number limit; UPWIND SCHEMES; SINGULAR LIMITS; SPEED SCHEME; EULER SYSTEM; COMPUTATIONS; EQUATIONS;
D O I：
10.1137/23M154755X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we are interested in the behavior of discontinuous Galerkin schemes for compressible flows in the low Mach number limit. We prove that for any numerical flux conserving exactly contacts (e.g., exact Godunov, Roe, HLLC), the numerical scheme is accurate at low Mach number flows on simplicial meshes, which is an extension to higher order of the result proven in [H. Guillard, Comput. Fluids, 38 (2009), pp. 1969-1972]. When the mesh is not simplicial, or when the mesh is simplicial but the numerical flux does not conserve contacts (e.g., Lax -Friedrich, HLL), the scheme is numerically proven to be less accurate in the low Mach number limit.
引用
收藏
页码：A452 / A482
页数：31
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