Compressible flow SUPG parameters computed from element matrices

L. Catabriga, Alvaro L.G.A. Coutinho, T. E. Tezduyar

Research output: Contribution to journalArticlepeer-review

31 Citations (Scopus)


We present, for the SUPG formulation of inviscid compressible flows with shocks, stabilization parameters defined based on the element-level matrices. These definitions are expressed in terms of the ratios of the norms of the matrices and take into account the flow field, the local length scales, and the time step size. Calculations of these stabilization parameters are straightforward and do not require explicit expressions for length or velocity scales. We compare the performance of these stabilization parameters, accompanied by a shock-capturing parameter introduced earlier, with the performance of a stabilization parameter introduced earlier, accompanied by the same shock-capturing parameter. We investigate the performance difference between updating the stabilization and shock-capturing parameters at the end of every time step and at the end of every non-linear iteration within a time step. We also investigate the influence of activating an algorithmic option that was introduced earlier, which is based on freezing the shock-capturing parameter at its current value when a convergence stagnation is detected.

Original languageEnglish
Pages (from-to)465-476
Number of pages12
JournalCommunications in Numerical Methods in Engineering
Issue number9
Publication statusPublished - 2005 Sep 1
Externally publishedYes


  • Compressible flow
  • Euler equations
  • Finite elements
  • Stabilization parameter

ASJC Scopus subject areas

  • Software
  • Modelling and Simulation
  • Engineering(all)
  • Computational Theory and Mathematics
  • Applied Mathematics


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