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

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

*この研究の対応する著者

研究成果: Article査読

33 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)334-343
ページ数10
ジャーナルComputational Mechanics
38
4-5
DOI
出版ステータスPublished - 2006 9月
外部発表はい

ASJC Scopus subject areas

  • 計算力学
  • 海洋工学
  • 機械工学
  • 計算理論と計算数学
  • 計算数学
  • 応用数学

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