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Stabilization and shock-capturing parameters in SUPG formulation of compressible flows

机译:SUPG可压缩流配方中的稳定度和冲击捕获参数

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摘要

The streamline-upwind/Petrov-Galerkin (SUPG) formulation is one of the most widely used stabilized methods in finite element computation of compressible flows. It includes a stabilization parameter that is known as "τ". Typically the SUPG formulation is used in combination with a shock-capturing term that provides additional stability near the shock fronts. The definition of the shock-capturing term includes a shock-capturing parameter. In this paper, we describe, for the finite element formulation of compressible flows based on conservation variables, new ways for determining the τ and the shock-capturing parameter. The new definitions for the shock-capturing parameter are much simpler than the one based on the entropy variables, involve less operations in calculating the shock-capturing term, and yield better shock quality in the test computations.
机译:流线型迎风/ Petrov-Galerkin(SUPG)公式是可压缩流的有限元计算中使用最广泛的稳定方法之一。它包括一个称为“τ”的稳定参数。通常,SUPG配方与减震术语结合使用,可在减震前沿附近提供额外的稳定性。冲击捕捉术语的定义包括冲击捕捉参数。在本文中,我们针对基于守恒变量的可压缩流的有限元公式描述了确定τ和震荡捕捉参数的新方法。震荡捕获参数的新定义比基于熵变量的新定义简单得多,在计算震荡捕获项时涉及的操作更少,并且在测试计算中产生了更好的震荡质量。

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