A block-matrix iterative numerical method for coupled solving 2D Navier- Stokes equations
type: Item
instance of: scholarly article
title: A block-matrix iterative numerical method for coupled solving 2D Navier- Stokes equations
zbMATH Open document ID: 0835.76060
DOI: 10.1016/S0021-9991(95)90170-1
author: Oleg P. Iliev
author: M. M. Makarov
published in: Journal of Computational Physics
publication date: 1996-04-15T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 825404
zbMATH Keywords: streamfunction-vorticity formulation
zbMATH Keywords: implicit difference schemes
zbMATH Keywords: lid driven cavity flow
zbMATH Keywords: uniform grids
zbMATH Keywords: BLOCK-ORTHOMIN(K) method
zbMATH Keywords: difference Laplace operator
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 825404