Variations on algebraic recursive multilevel solvers (ARMS) for the solution of CFD problems

Authors:
Yousef Saad;Azzeddine Soulaimani;Ridha Touihri
Affiliations:
Department of Computer Science and Engineering, University of Minnesota, 4-192EE/CSci Building, 200 Union Street S.E., Minneapolis, MN;Département de Génie Mécanique, École de technologie supérieure, 1100 Notre-Dame Ouest, Montréal, Québec, H3C 1K3, Canada;Département de Génie Mécanique, École de technologie supérieure, 1100 Notre-Dame Ouest, Montréal, Québec, H3C 1K3, Canada
Venue:
Applied Numerical Mathematics
Year:
2004

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Abstract

This paper presents results using preconditioners that are based on a number of variations of the Algebraic Recursive Multilevel Solver (ARMS). ARMS is a recursive block ILU factorization based on a multilevel approach. Variations presented in this paper include approaches which incorporate inner iterations, and methods based on standard reordering techniques. Numerical tests are presented for three-dimensional incompressible, compressible and magneto-hydrodynamic (MHD) problems.