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SUPG finite element computation of inviscid supersonic flows with YZβ shock-Capturing

✍ Scribed by Tayfun E. Tezduyar; Masayoshi Senga

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
315 KB
Volume
36
Category
Article
ISSN
0045-7930

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✦ Synopsis

Stabilization and shock-capturing parameters introduced recently for the Streamline-Upwind/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 ''YZb 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 in the test computations, with more substantial improvements seen for triangular elements.

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The streamline-upwind/Petrov-Galerkin (SUPG) and pressure-stabilizing/Petrov-Galerkin (PSPG) methods are among the most popular stabilized formulations in finite element computation of flow problems. The discontinuity-capturing directional dissipation (DCDD) was first introduced as a complement to t