Compressible flow SUPG stabilization parameters computed from degree-of-freedom submatrices

Lucia Catabriga, Alvaro L.G.A. Coutinho*, Tayfun E. Tezduyar

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

33 Citations (Scopus)


We present, for the SUPG formulation of inviscid compressible flows, stabilization parameters defined based on the degree-of-freedom submatrices of the element-level matrices. With 2D steady-state test problems involving supersonic flows and shocks, we compare these stabilization parameters with the ones defined based on the full element-level matrices. We also compare them to the stabilization parameters introduced in the earlier development stages of the SUPG formulation of compressible flows. In all cases the formulation includes a shock-capturing term involving a shock-capturing parameter. We investigate the difference between updating the stabilization and shock-capturing parameters at the end of every time step and at the end of every nonlinear iteration within a time step. The formulation includes, as an option, an algorithmic feature that is based on freezing the shock-capturing parameter at its current value when a convergence stagnation is detected.

Original languageEnglish
Pages (from-to)334-343
Number of pages10
JournalComputational Mechanics
Issue number4-5
Publication statusPublished - 2006 Sept
Externally publishedYes


  • Degree-of-freedom submatrices
  • Finite elements
  • Inviscid compressible flows
  • SUPG formulation
  • Stabilization parameters

ASJC Scopus subject areas

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


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