期刊
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
卷 190, 期 43-44, 页码 5719-5737出版社
ELSEVIER SCIENCE SA
DOI: 10.1016/S0045-7825(01)00193-1
关键词
Euler equations; low Mach number; preconditioning; SUPG; entropy variables
We present a streamline-upwind/Petrov-Galerkin (SUPG) algorithm for the solution of the compressible Euler equations at low Mach numbers, The Euler equations are written in terms of entropy variables which result in Jacobian matrices which are symmetric. We note that, in the low Mach number limit, the SUPG method with the standard choices for the stabilization matrix fail to provide adequate stabilization, This results in a degradation of the solution accuracy. We propose a stabilization matrix which incorporates dimensional-scaling arguments and which exhibits the appropriate behavior for low Mach numbers. To guide in the derivation of the new stabilization matrix, the non-dimensionalized equations are transformed to a new set of variables that converge, when the characteristic Mach number tends to zero, to the incompressible velocity and pressure variables. The resulting algorithm is capable of accurately computing external flows with free stream Mach numbers as low as 10(-3). (C) 2001 Elsevier Science B.V. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据