A block-matrix iterative numerical method for coupled solving 2D Navier- Stokes equations
An algorithm for coupled solving two-dimensional Navier-Stokes equations in the stream function \(\psi\)-vorticity \(\omega\) 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.
scientific article; zbMATH DE number 825404
scientific article