A coupled modified strongly implicit procedure for the numerical solution of coupled continuum problems

A coupled modified strongly implicit procedure is presented for application to the algebraic equation systems which result from the modeling of physical problems in which the dependent variables are coupled through their combined appearance in the governing equations. Particular application is made to the prediction of incompressible fluid flow problems. The formulation is presented for two-dimensional problems in which the discrete numerical molecule has representation in a nine-point, block form. Application is made to three problems and the sensitivity to the solution parameters is presented. It is observed that the procedure is flexible, robust, and rapidly convergent over a wide range of the procedural parameters. Comparisons with the results of a fully optimized SIMPLE procedure indicates that computational times of the proposed procedure are comparable to those of the fully optimized SIMPLE procedure.