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Fast boundary‐domain integral algorithm for the computation of incompressible fluid flow problems
Author(s) -
Hriberšek M.,
Škerget L.
Publication year - 1999
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(19991115)31:5<891::aid-fld904>3.0.co;2-d
Subject(s) - mathematics , domain decomposition methods , krylov subspace , computational fluid dynamics , navier–stokes equations , incompressible flow , computation , vorticity , mathematical optimization , compressibility , flow (mathematics) , algorithm , iterative method , finite element method , geometry , vortex , mechanics , physics , thermodynamics
The paper deals with the numerical solution of fluid dynamics using the boundary‐domain integral method (BDIM). A velocity–vorticity formulation of the Navier–Stokes equations is adopted, where the kinematic equation is written in its parabolic form. Computational aspects of the numerical simulation of two‐dimensional flows is described in detail. In order to lower the computational cost, the subdomain technique is applied. A preconditioned Krylov subspace method (PKSM) is used for the solution of systems of linear equations. Level‐based fill‐in incomplete lower upper decomposition (ILU) preconditioners are developed and their performance is examined. Scaling of stopping criteria is applied to minimize the number of iterations for the PKSM. The effectiveness of the proposed method is tested on several benchmark test problems. Copyright © 1999 John Wiley & Sons, Ltd.