Subdomain solution of problem with unilateral constraints in grid environments

Authors:
Ming Chau;Thierry Garcia;Abdelhamid Laouar;Pierre Spiteri
Affiliations:
Advanced Solutions Accelerator, Castelnau Le Lez, France;IRIT, ENSEEIHT, Toulouse, France;Faculté des Sciences, Département de Mathématiques, Université d'Annaba, Laboratoire LANOS, Annaba, Algérie;IRIT, ENSEEIHT, Toulouse, France
Venue:
Globe'11 Proceedings of the 4th international conference on Data management in grid and peer-to-peer systems
Year:
2011

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Abstract

The present study deals with the solution of problem arising in fluid mechanics with unilateral constraints on the boundary. The problem is defined in the three-dimensional domain. An implicit scheme is used for the time dependent part of the operator and the problem is then reduced to the solution of a sequence of stationary problems. The discretization of such stationary problem by appropriate schemes leads to the solution of a large-scale algebraic system. According to the size of these systems, parallel iterative asynchronous and synchronous subdomain methods are carried out on distributed architectures. Finally the experiment studies are presented and analyzed.