Solution of the incompressible mass and momentum equations by application of a coupled equation line solver

1 July 1985

journal article
research article
Published by Wiley in International Journal for Numerical Methods in Fluids

Vol. 5 (7) , 615-625
https://doi.org/10.1002/fld.1650050703

Abstract

This paper describes an iterative technique for solving the coupled algebraic equations for mass and momentum conservation for an incompressible fluid flow. The technique is based on the simultaneous solution for pressure and velocity along lines. In a manner similar to ADI methods for a single variable, the solution domain is entirely swept line‐by‐line in each co‐ordinate direction successively until a converged solution is obtained. The tight coupling between the equations that is guaranteed by the method results in an economical solution of the equation set.

Keywords

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