Hier finden Sie wissenschaftliche Publikationen aus den Fraunhofer-Instituten.

A block-matrix iterative numerical method for coupled solving 2D Navier-Stokes equations

: Iliev, O.; Makarov, M.


Journal of computational physics 121 (1995), No.2, pp.324-330
ISSN: 0021-9991
Journal Article
Fraunhofer ITWM ()

An algorithm for coupled solving 2D Navier—Stokes equations in the stream function ψ-vorticity 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 BLOCK-ORTHOMIN(K) method, is used for solving a block-matrix set of linear algebraic equations at each time step. The non-symmetric block is reversed on each block-iteration 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.