Speeding-up simulation of cogging process by multigrid method

被引：0
作者：
Mohamad Ramadan
Mahmoud Khaled
Lionel Fourment
机构：
[1] International University of Beirut,Energy and Thermo
[2] FCLAB,Fluid Group, School of Engineering
[3] CNRS,undefined
[4] Univ. Bourgogne Franche-Comté,undefined
[5] Univ Paris Diderot,undefined
[6] Sorbonne Paris Cité,undefined
[7] Paris Interdisciplinary Energy Research Institute (PIERI),undefined
[8] MINES ParisTech,undefined
[9] PSL Research University,undefined
[10] CEMEF,undefined
[11] CNRS UMR 7635,undefined
[12] CS 10207 rue Claude Daunesse,undefined
来源：
International Journal of Material Forming | 2019年 / 12卷
关键词：
Multigrid; Iterative solver; Meshing; Material forming; Cogging; Process simulation finite element method;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Calculation time of some material forming processes is tremendously expensive which makes reducing computational time one of the most urgent challenges in this domain. Among strategies that have been developed to speed-up calculations, one of the most flexible solutions is to utilize enhanced linear solvers such as Multi-Grid algorithm. It consists in using several levels of meshes of the same domain in order to more efficiently solve the systems of equations derived from the discretized problem. The speed-up results from the efficiency of coarse meshes in computing the low frequencies of the residual while fine meshes are more efficient in reducing the high frequencies of the residual. The method is integrated in the commercial software Forge® and applied to the industrial cogging process. The obtained results show that the speed-up depends on the number of nodes; for an industrial scale mesh of 50,000 nodes, the multigrid technique allows dividing the computational time by a factor of two.
引用
收藏
页码：45 / 55
页数：10
相关论文
共 118 条
  • [31] Fourment L(1977)A stable finite element for the stokes equations Math Comput Simul 70 191-1950
  • [32] Digonnet H(2015)Numerical formulations and algorithms for solving contact problems in metal forming simulation Comput Math Appl 108 87-undefined
  • [33] Ramadan M(2016)Parallel direct linear system solvers - a survey Appl Numer Math 14 1-undefined
  • [34] Fourment L(2005)Iterative solvers for image denoising with diffusion models: a comparative study Acta Numer 156 515-undefined
  • [35] Digonnet H(2017)Fast iterative solvers for large matrix systems arising from time-dependent stokes control problems Comput Fluids 198 1691-undefined
  • [36] Khaled M(2009)Numerical solution of saddle point problems Comput Methods Appl Mech Eng 27 1651-undefined
  • [37] Ramadan M(2006)Box-relaxation based multigrid solvers for the variable viscosity stokes problem SIAM J Sci Comput 58 1933-undefined
  • [38] Elmarakbi A(2008)Parallel scalable adjoint-based adaptive solution of variable-viscosity stokes flow problems Appl Numer Math undefined undefined-undefined
  • [39] Fourment L(undefined)Block preconditioners based on approximate commutators undefined undefined undefined-undefined
  • [40] Wasserman M(undefined)Multigrid relaxation methods for systems of saddle point type undefined undefined undefined-undefined
12345678910