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Hier finden Sie wissenschaftliche Publikationen aus den FraunhoferInstituten. A blockmatrix iterative numerical method for coupled solving 2D NavierStokes equations
 Journal of computational physics 121 (1995), No.2, pp.324330 ISSN: 00219991 

 English 
 Journal Article 
 Fraunhofer ITWM () 
Abstract
An algorithm for coupled solving 2D Navier—Stokes equations in the stream function ψvorticity ω variables is presented. Lid driven cavity flow is computed as a test example. Implicit difference schemes on uniform grids are used for discretizing the unsteady Navier—Stokes equations. An iterative method, similar to the BLOCKORTHOMIN(K) method, is used for solving a blockmatrix set of linear algebraic equations at each time step. The nonsymmetric block is reversed on each blockiteration by using approximate factorization—ORTHOMIN(1) iterative method. The difference Laplace operator is reversed by means of a direct method. The comparison of the results, provided by coupled solving Navier—Stokes equations with those provided by decoupled (consecutive) solving the equations for ω and ψ, demonstrates the advantages of the suggested computing technique.