Abstract
This article presents a method for the numerical solution of the incompressible 2D Navier-Stokes equations, based on the coupled solution of the momentum equations and a fully compatible pressure correction equation. With in each iteration, the linearized momentum equations are simultaneously, though inexactly, solved through a two-step, noniterative scheme. Their solution employs the appropriate factorization of the diagonal coefficient matrices into upper and lower triangular ones. The continuity equation is satisfied by means of the SIMPLE concept in a particular form that arises from the coupled solution of the momentum equations. The algorithm is more efficient in terms of convergence rates when compared to a segregated algorithm, given that identical discretization schemes are used.
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