TY - JOUR
T1 - Stabilization and shock-capturing parameters in SUPG formulation of compressible flows
AU - Tezduyar, Tayfun E.
AU - Senga, Masayoshi
N1 - Funding Information:
This work was supported by the US Army Natick Soldier Center (Contract No. DAAD16-03-C-0051), NSF (Grant No. EIA-0116289), and NASA Johnson Space Center (Grant No. NAG9-1435).
PY - 2006/2/15
Y1 - 2006/2/15
N2 - 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.
AB - 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.
KW - Compressible flows
KW - Finite element formulation
KW - SUPG stabilization
KW - Shock-capturing parameter
KW - Stabilization parameters
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U2 - 10.1016/j.cma.2005.05.032
DO - 10.1016/j.cma.2005.05.032
M3 - Article
AN - SCOPUS:30944453025
SN - 0374-2830
VL - 195
SP - 1621
EP - 1632
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
IS - 13-16
ER -