Computation of inviscid supersonic flows around cylinders and spheres with the SUPG formulation and YZβ shock-capturing

Tayfun E. Tezduyar, Masayoshi Senga, Darby Vicker

Research output: Contribution to journalArticle

74 Citations (Scopus)

Abstract

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 "YZβ 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 YZβ Shock-Capturing compare very favorably to those obtained with the well established OVERFLOW code.

Original languageEnglish
Pages (from-to)469-481
Number of pages13
JournalComputational Mechanics
Volume38
Issue number4-5
DOIs
Publication statusPublished - 2006 Sep
Externally publishedYes

Fingerprint

Shock Capturing
Petrov-Galerkin
Inviscid Flow
Supersonic Flow
Supersonic flow
Compressible flow
Streamlines
Conservation
Entropy
Stabilization
Formulation
Unstructured Mesh
Experiments
Compressible Flow
Triangular
Shock
Numerical Experiment
Evaluate

Keywords

  • Cylinders and spheres
  • Shock-capturing parameter
  • Stabilization parameter
  • Supersonic flows
  • SUPG stabilization

ASJC Scopus subject areas

  • Ocean Engineering
  • Mechanical Engineering
  • Computational Theory and Mathematics
  • Computational Mathematics
  • Applied Mathematics

Cite this

Computation of inviscid supersonic flows around cylinders and spheres with the SUPG formulation and YZβ shock-capturing. / Tezduyar, Tayfun E.; Senga, Masayoshi; Vicker, Darby.

In: Computational Mechanics, Vol. 38, No. 4-5, 09.2006, p. 469-481.

Research output: Contribution to journalArticle

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