Toward large scale F.E. computation of hot forging process using iterative solvers, parallel computation and multigrid algorithms

The industrial simulation code Forge3® is devoted to three‐dimensional metal forming applications. This finite element software is based on an implicit approach. It is able to carry out the large deformations of viscoplastic incompressible materials with unilateral contact conditions. The finite ele...

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Vydáno v:International journal for numerical methods in engineering Ročník 52; číslo 5-6; s. 473 - 488
Hlavní autoři: Mocellin, K., Fourment, L., Coupez, T., Chenot, J. L.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Chichester, UK John Wiley & Sons, Ltd 20.10.2001
Wiley
Edice:Special Issue of Selected ECCM '99 Contributions
Témata:
Engineering Sciences
forging
Materials
minimum residual algorithm
multigrid method
parallel computing
forging
minimum residual algorithm
parallel computing
multigrid method
ISSN:0029-5981, 1097-0207
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Shrnutí:The industrial simulation code Forge3® is devoted to three‐dimensional metal forming applications. This finite element software is based on an implicit approach. It is able to carry out the large deformations of viscoplastic incompressible materials with unilateral contact conditions. The finite element discretization is based on a stable mixed velocity–pressure formulation and tetrahedral unstructured meshes. Central to the Newton iterations dealing with the non‐linearities, a preconditioned conjugate residual method (PCR) is used. The parallel version of the code uses an SPMD programming model and several results on complex applications have been published. In order to reduce the CPU time computation, a new solver has been developed which is based on multigrid theory. A detailed presentation of the different elements of the method is given: the geometrical approach based on embedded meshes, the direct resolution of the velocity–pressure system, the use of PCR method as an original smoother and for solving the coarse problem, the full multigrid method and the required preconditioning by an incomplete Cholesky factorization for problems with complex contact conditions. By considering different forging cases, the theoretical properties of the multigrid method are numerically verified, optimizations of the solver are presented and finally, the results obtained on several industrial problems are given, showing the efficiency of the new solver that provides speed‐up larger than 5. Copyright © 2001 John Wiley & Sons, Ltd.
Bibliografie:istex:06B2AD26F490A987403DEBD8042AE9882249F4D7
ark:/67375/WNG-DPLP2N02-D
ArticleID:NME304
French Forging Industry
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0029-5981
1097-0207
DOI:10.1002/nme.304