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

Tayfun E. Tezduyar*, Masayoshi Senga, Darby Vicker

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

98 Citations (Scopus)


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
Issue number4-5
Publication statusPublished - 2006 Sept
Externally publishedYes


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

ASJC Scopus subject areas

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


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