Space-time finite element computation of compressible flows involving moving boundaries and interfaces

S. K. Aliabadi, Tayfun E. Tezduyar

Research output: Contribution to journalArticle

90 Citations (Scopus)

Abstract

The deformable-spatial-domain/stabilized-space-time (DSD/SST) formulation, introduced by Tezduyar et al. is applied to computation of viscous compressible flows involving moving boundaries and interfaces. The stabilization technique employed is a streamline-upwind/Petrov-Galerkin (SUPG) method, with a modified SUPG stabilization matrix. The stabilized finite element formulation of the governing equations is written over the space-time domain of the problem, and therefore the deformation of the spatial domain with respect to time is taken into account automatically. The frequency of remeshing is minimized to minimize the projection errors involved in remeshing and also to increase the parallelization potential of the computations. The implicit equation systems arising from the space-time finite element discretizations are solved iteratively. It is demonstrated that the combination of the SUPG stabilization and the space-time approach gives the capability of handling complicated compressible flow problems, including those with moving surfaces and shock-boundary layer interactions.

Original languageEnglish
Pages (from-to)209-223
Number of pages15
JournalComputer Methods in Applied Mechanics and Engineering
Volume107
Issue number1-2
DOIs
Publication statusPublished - 1993
Externally publishedYes

Fingerprint

compressible flow
Compressible flow
Stabilization
stabilization
Galerkin methods
Boundary layers
formulations
Galerkin method
boundary layers
projection
shock
matrices
interactions

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

Cite this

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