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Paper III.1

Mixed Formulations and Iterative Solver for the Parallelisation of a Forging Simulation Software by Mesh Partitioning

doi:10.4203/ccp.57.3.1

E. Perchat, L. Fourment, T. Coupez, "Mixed Formulations and Iterative Solver for the Parallelisation of a Forging Simulation Software by Mesh Partitioning", in B.H.V. Topping, (Editor), "Developments in Computational Mechanics with High Performance Computing", Civil-Comp Press, Edinburgh, UK, pp 67-72, 1999. doi:10.4203/ccp.57.3.1

Abstract

A parallel implementation of the Preconditioned Conjugate Residual (PCR) method is described. The method is used to solve the discretised generalised Stokes problem derived from the simulation of complex 2D axisymetrical hot metal forming processes. We numerically show that the use of a simple Block Diagonal (BDS) preconditioner results in a high level of parallelism. However in 2D, the iterative solver with BDS is much slower than the direct one. Hence, better sequential and parallel preconditioners, like incomplete factorisations ILU, are studied. It results in an almost twice faster parallel code, but with a loss in scalability due to the increase of communications between processors.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 57 DEVELOPMENTS IN COMPUTATIONAL MECHANICS WITH HIGH PERFORMANCE COMPUTING Edited by: B.H.V. Topping Paper III.1 Mixed Formulations and Iterative Solver for the Parallelisation of a Forging Simulation Software by Mesh Partitioning E. Perchat, L. Fourment and T. Coupez CEMEF, Ecole des Mines de Paris, Sophia Antipolis, France doi:10.4203/ccp.57.3.1 purchase the full-text of this paper Full Bibliographic Reference for this paper E. Perchat, L. Fourment, T. Coupez, "Mixed Formulations and Iterative Solver for the Parallelisation of a Forging Simulation Software by Mesh Partitioning", in B.H.V. Topping, (Editor), "Developments in Computational Mechanics with High Performance Computing", Civil-Comp Press, Edinburgh, UK, pp 67-72, 1999. doi:10.4203/ccp.57.3.1 Abstract A parallel implementation of the Preconditioned Conjugate Residual (PCR) method is described. The method is used to solve the discretised generalised Stokes problem derived from the simulation of complex 2D axisymetrical hot metal forming processes. We numerically show that the use of a simple Block Diagonal (BDS) preconditioner results in a high level of parallelism. However in 2D, the iterative solver with BDS is much slower than the direct one. Hence, better sequential and parallel preconditioners, like incomplete factorisations ILU, are studied. It results in an almost twice faster parallel code, but with a loss in scalability due to the increase of communications between processors. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £70 +P&P)
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