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Title: A Block - Matrix Iterative Numerical Method for Coupled Solving 2D Navier-Stokes Equations
Authors: Iliev, Oleg P.
Makarov, Mikhail M.
Issue Date: 13-Dec-1994
Publisher: Institute of Mathematics with Computer Center at the Bulgarian Academy of Sciences
Citation: Preprint
Series/Report no.: 1994;10
Abstract: An algorithm for coupled solving 2D Navier - Stokes equations in the stream function φ - 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(К) method, is used for solving 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 - OR- THOMIN(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 φ demonstrate the advantages of the suggested computing technique.
Description: [Iliev Oleg P.; Илиев Олег П.]; [Makarov Mikhail M.; Макаров Михаил М.]
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