TY - JOUR
T1 - Computation of incompressible flows with implicit finite element implementations on the Connection Machine
AU - Behr, M.
AU - Johnson, A.
AU - Kennedy, J.
AU - Mittal, S.
AU - Tezduyar, T.
N1 - Funding Information:
Correspondence to: Tayfun E. Tezduyar, University of Minnesota Supercomputer Institute, 1200 Washington Avenue South, Minneapolis, MN 55415, USA. * This research was sponsored by NASA-JSC under grant NAG 9-449, by NSF under grant MSM-8796352, and by the ALCOA foundation. Partial support for this work has also come from the Army Research Office contract number DAAL03-89-C-0038 with the Army High Performance Computing Research Center at the University of Minnesota.
PY - 1993
Y1 - 1993
N2 - Two implicit finite element formulations for incompressible flows have been implemented on the Connection Machine supercomputers and successfully applied to a set of time-dependent problems. The stabilized space-time formulation for moving boundaries and interfaces, and a new stabilized velocity-pressure-stress formulation are both described, and significant aspects of the implementation of these methods on massively parallel architectures are discussed. Several numerical results for flow problems involving moving as well as fixed cylinders and airfoils are reported. The parallel implementation, taking full advantage of the computational speed of the new generation of supercomputers, is found to be a significant asset in fluid dynamics research. Its current capability to solve large-scale problems, especially when coupled with the potential for growth enjoyed by massively parallel computers, make the implementation a worthwhile enterprise.
AB - Two implicit finite element formulations for incompressible flows have been implemented on the Connection Machine supercomputers and successfully applied to a set of time-dependent problems. The stabilized space-time formulation for moving boundaries and interfaces, and a new stabilized velocity-pressure-stress formulation are both described, and significant aspects of the implementation of these methods on massively parallel architectures are discussed. Several numerical results for flow problems involving moving as well as fixed cylinders and airfoils are reported. The parallel implementation, taking full advantage of the computational speed of the new generation of supercomputers, is found to be a significant asset in fluid dynamics research. Its current capability to solve large-scale problems, especially when coupled with the potential for growth enjoyed by massively parallel computers, make the implementation a worthwhile enterprise.
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U2 - 10.1016/0045-7825(93)90155-Q
DO - 10.1016/0045-7825(93)90155-Q
M3 - Article
AN - SCOPUS:0027395681
SN - 0045-7825
VL - 108
SP - 99
EP - 118
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
IS - 1-2
ER -