Finite element computation of compressible flows with the SUPG formulation

G. J. Le Beau*, T. E. Tezduyar

*この研究の対応する著者

研究成果: Conference contribution

75 被引用数 (Scopus)

抄録

Finite element computation of compressible Euler equations is presented in the context of the streamline-upwind/Petrov-Galerkin (SUPG) formulation. The SUPG formulation, which is based on adding stabilizing terms to the Galerkin formulation, is further supplemented with a shock capturing operator which addresses the difficulty in maintaining a satisfactory solution near discontinuities in the solution field. The shock capturing operator, which has been derived from work done in entropy variables for a similar operator, is shown to lead to an appropriate level of additional stabilization near shocks, without resulting in excessive numerical diffusion. An implicit treatment of the impermeable wall boundary condition is also presented. This treatment of the no-penetration condition offers increased stability for large Courant numbers, and accelerated convergence of the computations for both implicit and explicit applications. Several examples are presented to demonstrate the ability of this method to solve the equations governing compressible fluid flow.

本文言語English
ホスト出版物のタイトルAdvances in Finite Element Analysis in Fluid Dynamics - 1991
出版社Publ by ASME
ページ21-27
ページ数7
ISBN(印刷版)0791808459
出版ステータスPublished - 1991 12月 1
外部発表はい
イベントWinter Annual Meeting of the American Society of Mechanical Engineers - Atlanta, GA, USA
継続期間: 1991 12月 11991 12月 6

出版物シリーズ

名前American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED
123

Other

OtherWinter Annual Meeting of the American Society of Mechanical Engineers
CityAtlanta, GA, USA
Period91/12/191/12/6

ASJC Scopus subject areas

  • 工学(全般)

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