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1995
Journal Article
Titel
A block-matrix iterative numerical method for coupled solving 2D Navier-Stokes equations
Abstract
An algorithm for coupled solving 2D Navier-Stokes equations in the stream function PS-vorticity o 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 o and PS, demonstrates the advantages of the suggested computing technique.