Improved SUPG formulations for compressible flows

[摘要] Stabilization and shock-capturing parameters introduced recently for the StreamlineUpwind/Petrov-Galerkin (SUPG) formulation of compressible flows based on conservation variables are assessed in test computations with inviscid supersonic flows and different types of finite element meshes. The new shock-capturing parameters, categorized as ;;YZbeta Shock-Capturing;; in this paper, are compared to earlier parameters derived based on the entropy variables. In addition to being much simpler, the new shock-capturing parameters yield better shock quality the test computations, with more substantial improvements seen for triangular elements.Numerical experiments with inviscid supersonic flows around cylinders and spheres are carried out to evaluate the stabilization and shock-capturing parameters introduced recently for the Streamline-Upwind/Petrov-Galerkin (SUPG) formulation of compressible flows based on conservation variables. The tests with the cylinders are carried out for both structured and unstructured meshes. The new shock-capturing parameters; which we call ;;YZbeta Shock-Capturing;;, are compared to earlier SUPG parameters derived based on the entropy variables. In addition to being much simpler, the new shock-capturing parameters yield better shock quality in the test computations, with more substantial improvements seen for unstructured meshes with triangular and tetrahedral elements. Furthermore, the results obtained with YZbeta Shock-Capturing compare very favorably to those obtained with the well established OVERFLOW code.

[发布机构] Rice University

[效力级别] engineering