SUPG finite element computation of compressible flows with the entropy and conservation variables formulations

G. J. Le Beau, S. E. Ray, S. K. Aliabadi, T. E. Tezduyar*

*この研究の対応する著者

研究成果: Article査読

138 被引用数 (Scopus)

抄録

SUPG-stabilized finite element formulations of compressible Euler equations based on the conservation and entropy variables are investigated and compared. The formulation based on the conservation variables consists of the formulation introduced by Tezduyar and Hughes plus a shock capturing term. The formulation based on the entropy variables is the same as the one by Hughes, Franca and Mallet, which has a shock capturing term built in. These formulations are tested on several subsonic, transonic and supersonic compressible flow problems. It is shown that the stabilized formulation based on the conservation variables gives solutions which are just as good as those obtained with the entropy variables. Furthermore, the solutions obtained using the two formulations are very close and in some cases almost indistinguishable. Consequently, it can be deduced that the relative merits of these two formulations will continue to remain under debate.

本文言語English
ページ(範囲)397-422
ページ数26
ジャーナルComputer Methods in Applied Mechanics and Engineering
104
3
DOI
出版ステータスPublished - 1993 5
外部発表はい

ASJC Scopus subject areas

  • 計算力学
  • 材料力学
  • 機械工学
  • 物理学および天文学(全般)
  • コンピュータ サイエンスの応用

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