Abstract
We develop a coherent set of techniques for parallel computing. We use the Finite Element Method associated with the C++ Objects Oriented Programming with only one database. A technique of data selection called AMS - Automatic Multigrid System - is used for the determination of the data dedicated to each processor. This method is performed by a SIMD technology associated with the MPI capabilities. This parallel computing is applied to very large CPU cost problems particularly the unsteady problems or steady problems using iterative methods. Different results in Computational Fluid Dynamics are presented.
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References
Yeckel, A., Smith, J.W., Derby, J.J.: Parallel finite element calculation of flow in a three dimensional lid-driven cavity using the CM-5 and T3D. Int. J. Num. Methods in Fluids, Vol. 24 (1997) 1449–1461.
Gresho, P.M.: On the theory of semi-implicit projection methods for viscous incompressible flow and its implementation via a finite element method that also introduces a nearly consistent mass matrix. Int. J. Numer. Meth.Fluids, Vol. 11 (1990) 621–659.
Hempel, R., Calkin R., Hess, R., Joppich, W., Keller, U., Koike, N., Oosterlee, C.W., Ritzdorf, H., Washio, T., Wypior, P., Ziegler, W.: Real applications on the new parallel system NEC Cenju-3. Parallel Computing, Vol. 22 (1996) 131–148.
Chambarel, A., Onuphre, E.: Parallel computation of an unsteady compressible flow by the Finite Element method. Lecture Notes in Computer Sciences, Springer-Verlag, Berlin Heidelberg New York (1997).
Chambarel, A., Onuphre, E.: Finite Element software based on Object Programming. International Conference of the twelfth I.A.S.T.E.D., Annecy France, May 18–20, 1994.
Dhatt, G., Touzot, G.: Une présentation de la méthode des éléments finis. Editions Maloine S.A., Paris (1981).
Chambarel, A., Ferry, E.: Finite Element formulation for Maxwell’s equations with space dependent electric properties. Revue européenne des Eléments Finis, Vol. 9, n∘ 8 (2000) 941–967.
Turek, S.: Tools for simulating non stationary incompressible flow via discretely divergence-free finite element model. Int. J. Numer. Meth. Fluids, Vol. 18 (1994) 71–105.
Taylor, C., Hood, P.: A numerical solution of the Navier-Stokes equations using the Finite Element technique. Computer & Fluids, Vol. 1. Pergamon Press (1973) 73–100.
Van der Vorst, H.A.: Bi-CGSTAB, A fast and smoothly converging variant of Bi-CG for the solution of non-symmetric linear systems. S.I.A.M. J. Sci. Statist. Comput., Vol. 13 (1992) 631–644.
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Chambarel, A., Fougère, D. (2001). A General Parallel Computing Approach Using the Finite Element Method and the Objects Oriented Programming by Selected Data Technique. In: Malyshkin, V. (eds) Parallel Computing Technologies. PaCT 2001. Lecture Notes in Computer Science, vol 2127. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44743-1_44
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DOI: https://doi.org/10.1007/3-540-44743-1_44
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