Parallel multigrid methods for the calculation of unsteady flows on unstructured grids: algorithmic aspects and parallel performances on clusters of PCs

被引:9
作者
Dolean, V
Lanteri, S
机构
[1] INRIA, Projet Caiman, F-06902 Sophia Antipolis, France
[2] Ecole Polytech, CMAP, F-91128 Palaiseau, France
关键词
computational fluid dynamics (CFD); triangular meshes; multigrid method; domain decomposition method; parallel computing;
D O I
10.1016/j.parco.2004.03.002
中图分类号
TP301 [理论、方法];
学科分类号
081202 [计算机软件与理论];
摘要
We report on our efforts towards the design of efficient parallel hierarchical iterative methods for the solution of sparse and irregularly structured linear systems resulting from CFD applications. The solution strategies considered here share a central numerical kernel which consists in a linear multigrid by volume agglomeration method. Starting from this method, we study two parallel solution strategies. The first variant results from a direct intra-grid parallelization of multigrid operations on coarse grids. The second variant is based on an additive Schwarz domain decomposition algorithm which is formulated at the continuous level through the introduction of specific interface conditions. In this variant, the linear multigrid by volume agglomeration method is used to approximately solve the local systems obtained at each iteration of the Schwarz algorithm. As a result, the proposed hybrid domain decomposition/multigrid method can be viewed as a particular form of parallel multigrid in which multigrid acceleration is applied on a subdomain basis, these local calculations being coordinated by an appropriate domain decomposition iteration at the global level. The parallel performances of these two parallel multigrid methods are evaluated through numerical experiments that are performed on several clusters of PCs with different computational nodes and interconnection networks. (C) 2004 Published by Elsevier B.V.
引用
收藏
页码:503 / 525
页数:23
相关论文
共 25 条
[1]
BOURAS A, 2000, TRPA0015 CERFACS
[2]
BOURAS A, 2000, TRPA0019 CERFACS
[3]
Briggs W.L., 2000, A Multigrid Tutorial
[4]
Parallel linear multigrid by agglomeration for the acceleration of 3D compressible flow calculations on unstructured meshes [J].
Carré, G ;
Lanteri, S .
NUMERICAL ALGORITHMS, 2000, 24 (04) :309-332
[5]
An implicit multigrid method by agglomeration applied to turbulent flows [J].
Carre, G .
COMPUTERS & FLUIDS, 1997, 26 (03) :299-320
[6]
Parallel linear multigrid algorithms for the acceleration of compressible flow calculations [J].
Carré, G ;
Fournier, L ;
Lanteri, S .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2000, 184 (2-4) :427-448
[7]
A hybrid domain decomposition and multigrid method for the acceleration of compressible viscous flow calculations on unstructured triangular meshes [J].
Dolean, V ;
Lanteri, S .
INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS, 2001, 14 (04) :287-304
[8]
A CLASS OF IMPLICIT UPWIND SCHEMES FOR EULER SIMULATIONS WITH UNSTRUCTURED MESHES [J].
FEZOUI, L ;
STOUFFLET, B .
JOURNAL OF COMPUTATIONAL PHYSICS, 1989, 84 (01) :174-206
[9]
Francescatto J, 1998, INT J NUMER METH FL, V26, P927, DOI 10.1002/(SICI)1097-0363(19980430)26:8<927::AID-FLD679>3.0.CO
[10]
2-0