Finite element computation of compressible flows with the SUPG formulation

G. J. Le Beau, Tayfun E. Tezduyar

Research output: Chapter in Book/Report/Conference proceedingConference contribution

67 Citations (Scopus)

Abstract

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.

Original languageEnglish
Title of host publicationAdvances in Finite Element Analysis in Fluid Dynamics - 1991
PublisherPubl by ASME
Pages21-27
Number of pages7
Volume123
ISBN (Print)0791808459
Publication statusPublished - 1991
Externally publishedYes
EventWinter Annual Meeting of the American Society of Mechanical Engineers - Atlanta, GA, USA
Duration: 1991 Dec 11991 Dec 6

Other

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

Fingerprint

Compressible flow
Euler equations
Flow of fluids
Entropy
Stabilization
Boundary conditions

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Le Beau, G. J., & Tezduyar, T. E. (1991). Finite element computation of compressible flows with the SUPG formulation. In Advances in Finite Element Analysis in Fluid Dynamics - 1991 (Vol. 123, pp. 21-27). Publ by ASME.

Finite element computation of compressible flows with the SUPG formulation. / Le Beau, G. J.; Tezduyar, Tayfun E.

Advances in Finite Element Analysis in Fluid Dynamics - 1991. Vol. 123 Publ by ASME, 1991. p. 21-27.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Le Beau, GJ & Tezduyar, TE 1991, Finite element computation of compressible flows with the SUPG formulation. in Advances in Finite Element Analysis in Fluid Dynamics - 1991. vol. 123, Publ by ASME, pp. 21-27, Winter Annual Meeting of the American Society of Mechanical Engineers, Atlanta, GA, USA, 91/12/1.
Le Beau GJ, Tezduyar TE. Finite element computation of compressible flows with the SUPG formulation. In Advances in Finite Element Analysis in Fluid Dynamics - 1991. Vol. 123. Publ by ASME. 1991. p. 21-27
Le Beau, G. J. ; Tezduyar, Tayfun E. / Finite element computation of compressible flows with the SUPG formulation. Advances in Finite Element Analysis in Fluid Dynamics - 1991. Vol. 123 Publ by ASME, 1991. pp. 21-27
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