TY - JOUR
T1 - Space-time finite element computation of compressible flows involving moving boundaries and interfaces
AU - Aliabadi, S. K.
AU - Tezduyar, T. E.
N1 - Funding Information:
Correspondence to: Professor Tayfun E. Tezduyar, Minnesota Supercomputer Institute, 1200 Washington Avenue South, Minneapolis, MN 55415, USA. * This research was sponsored by NASA-JSC under grant NAG 9-449 and by NSF under grant MSM-8796352. Partial support for this work has also come from the Army Research Office contract number DAAL03-89-C-0038 with the High Performance Computing Research Center at the University of Minnesota.
PY - 1993/8
Y1 - 1993/8
N2 - 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.
AB - 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.
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U2 - 10.1016/0045-7825(93)90176-X
DO - 10.1016/0045-7825(93)90176-X
M3 - Article
AN - SCOPUS:0027643098
SN - 0045-7825
VL - 107
SP - 209
EP - 223
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
IS - 1-2
ER -