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Some Experiences with Nonoverlapping Schur Complement Parallel Preconditioning for CFD CalculationsIn this work we consider solving matrices which arise from the discretization of advection-diffusion field equations on arbitrary triangulated domains using stabilized numerical methods. The talk will discuss several candidate matrix preconditioning algorithms based on the 2 x 2 block factorization induced by an apriori partitioning of the triangulated domain. Application of the 2 x 2 block preconditioner requires the formation and inversion of the Schur complement submatrix. We consider several strategies for simplifying this task: incomplete Schur complement factorizations, drop tolerance element filling, Schur complement probing, and localized Schur complement inversion. Numerical results will be shown comparing performance and efficiency of these approximations. The matrix preconditioner has also been embedded into a Newton algorithm for solving the nonlinear Euler and Navier-Stokes equations governing compressible flow. The remainder of the talk will show numerous examples in CFD to demonstrate the efficiency and robustness of the techniques.
Document ID
20020041100
Acquisition Source
Ames Research Center
Document Type
Preprint (Draft being sent to journal)
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)
Kwak, Dochan
Date Acquired
August 20, 2013
Publication Date
January 1, 1996
Subject Category
Fluid Mechanics And Thermodynamics
Distribution Limits
Public
Copyright
Other

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