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Computation of inviscid compressible flows with the V‐SGS stabilization and YZ β shock‐capturing
Author(s) -
Rispoli Franco,
Saavedra Rafael,
Corsini Alessandro,
Tezduyar Tayfun E.
Publication year - 2007
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1447
Subject(s) - inviscid flow , mathematics , shock (circulatory) , compressible flow , computation , entropy (arrow of time) , compressibility , conservation law , mathematical analysis , algorithm , classical mechanics , physics , mechanics , medicine , quantum mechanics
The YZ β shock‐capturing technique was introduced recently for use in combination with the streamline‐upwind/Petrov–Galerkin formulation of compressible flows in conservation variables. The YZ β shock‐capturing parameter is much simpler than an earlier parameter derived from the entropy variables for use in conservation variables. In this paper, we propose to use the YZ β shock‐capturing in combination with the variable subgrid scale (V‐SGS) formulation of compressible flows in conservation variables. The V‐SGS method is based on an approximation of the class of SGS models derived from the Hughes variational multiscale method. We evaluate the performance of the V‐SGS and YZ β combination in a number of standard, 2D test problems. Compared to the earlier shock‐capturing parameter derived from the entropy variables, in addition to being much simpler, the YZ β shock‐capturing parameter yields better shock quality in these test problems. Copyright © 2007 John Wiley & Sons, Ltd.