Parallel iterative computational methods for 3D finite element flow simulations

• Autorzy: Kalro V. , Tezduyar T.
• Konferencja: Conference on Numerical Method in Continuum Mechanics (6 ; 16-18.09.1996 ; Stará Lesná, Słowacja)
• Języki publikacji: EN

Abstrakty

EN

In this paper we discuss sparse matrix computational methods, and their parallel implementations, for evaluating matrix-vector products in iterative solution of coupled, nonlinear equations encountered in finite element flow simulations. Based on sparse computation schemes, we introduce globally-defined preconditioners by mixing clustered element-by-element preconditioning concept with incomplete factorization methods. These preconditioners are implemented on a CRAY T3D parallel supercomputer. In addition to being tested in a number of benchmarking studies, the sparse schemes discussed here are applied to 3D simulation of incompressible flow past a circular cylinder.

Słowa kluczowe

EN

iterative computational method; flow

PL

metoda iteracyjna obliczeniowa; płynięcie

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 1998
• Tom: Vol. 5, nr 2
• Strony: 173--183
• Opis fizyczny: Bibliogr. 11 poz., rys., tab., wykr.

Twórcy

autor

Kalro V.

• Aerospace Engineering and Mechanics, Army HPC Research Center, University of Minnesota, 1100 Washington Ave, Minneapolis, MN 55415, USA

autor

Tezduyar T.

• Aerospace Engineering and Mechanics, Army HPC Research Center, University of Minnesota, 1100 Washington Ave, Minneapolis, MN 55415, USA

Bibliografia

• [1] M. Behr, A. Johnson, J. Kennedy, S. Mittal, T.E. Tezduyar. Computation of incompressible flows with implicit finite element implementations on the Connection Machine. Computer Methods in Applied Mechanics and Engineering, 108: 99-118, 1993.
• [2] T. Tezduyar, S. Aliabadi, M. Behr, A. Johnson, V. Kalro, C. Waters. 3D simulation of flow problems with parallel finite element computations on the CRAY T3D. In: Computational Mechanics ’95, Proceedings of International Conference on Computational Engineering Science, Mauna Lani, Hawaii, 1995.
• [3] Z. Johan. Data Parallel Finite Element Techniques for Large-Scale Computational Fluid Dynamics. Ph.D. thesis, Department of Mechanical Engineering, Stanford University, 1992.
• [4] T.J.R. Hughes, J. Winget, I. Levit, T.E. Tezduyar. New alternating direction procedures in finite element analysis based upon EBE approximate factorizations. In: S. Atluri, N. Perrone, eds., Recent Developments in Computer Methods for Nonlinear Solid and Structural Mechanics, 75-109, ASME, 1983.
• [5] T.E. Tezduyar, J. Liou. Grouped element-by-element iteration schemes incompressible flow computations. Computer Physics Communications, 53: 441-453, 1989.
• [6] J. Liou, T.E. Tezduyar. A clustered element-by-element iteration method for finite element computations. In: R. Glowinski et al., eds., Domain Decomposition Methods for Partial Differential Equations, Chapter 13, 140-150, SIAM, 1991.
• [7] Y. Saad. Iterative Methods for Sparse Linear Systems. PWS Publishing, 1996.
• [8] Y. Saad, M. Schultz. GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM Journal of Scientific and Statistical Computing, 7: 856-869, 1986.
• [9] A. Geist et al. PVM: Parallel Virtual Machine, A User’s Guide for Networked Parallel Computing. MIT Press, Cambridge, MA, 1994.
• [10] T.E. Tezduyar. Stabilized finite element formulations for incompressible flow computations. Advances in Applied Mechanics, 28: 1-44, 1991.
• [11] V. Kalro, T. Tezduyar. Parallel finite element computation of 3D incompressible flows on MPPs. In: W. G. Habashi, ed., Solution Techniques For Large-Scale CFD Problems. Computational Methods in Applied Sciences, Wiley, 1995.