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Progress in Parallel Schur Complement Preconditioning for Computational Fluid DynamicsWe consider preconditioning methods for nonself-adjoint advective-diffusive systems based on a non-overlapping Schur complement procedure for arbitrary triangulated domains. The ultimate goal of this research is to develop scalable preconditioning algorithms for fluid flow discretizations on parallel computing architectures. In our implementation of the Schur complement preconditioning technique, the triangulation is first partitioned into a number of subdomains using the METIS multi-level k-way partitioning code. This partitioning induces a natural 2X2 partitioning of the p.d.e. discretization matrix. By considering various inverse approximations of the 2X2 system, we have developed a family of robust preconditioning techniques. A computer code based on these ideas has been developed and tested on the IBM SP2 and the SGI Power Challenge array using MPI message passing protocol. A number of example CFD calculations will be presented to illustrate and assess various Schur complement approximations.
Document ID
20020051117
Acquisition Source
Ames Research Center
Document Type
Conference Paper
Authors
Barth, Timothy J.
(NASA Ames Research Center Moffett Field, CA United States)
Chan, Tony F.
(California Univ. Los Angeles, CA United States)
Tang, Wei-Pai
(Waterloo Univ. Ontario Canada)
Chancellor, Marisa K.
Date Acquired
August 20, 2013
Publication Date
January 1, 1997
Subject Category
Fluid Mechanics And Thermodynamics
Meeting Information
Meeting: 1997 SIAM Annual Meeting
Location: Stanford, CA
Country: United States
Start Date: July 14, 1997
End Date: July 18, 1997
Sponsors: Society for Industrial and Applied Mathematics
Funding Number(s)
PROJECT: RTOP 519-40-22
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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