A COUPLED STRONGLY IMPLICIT PROCEDURE FOR VELOCITY AND PRESSURE COMPUTATION IN FLUID FLOW PROBLEMS

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Abstract
A coupled strongly implicit procedure (CSIP) is presented for application in solving the algebraic equation system that results from discrete modeling of incompressible fluid flow problems. The proposed procedure uses a derived pressure equation, representing conservation of mass, that is obtained through the substitution of discrete momentum equations into the discrete mass conservation equation. If a conservative formulation is used, the conservation property is not altered by the use of this pressure equation. The characteristics of the new procedure are examined through application to three test problems having significant inertial influences, in addition to the diffusion of momentum. It is observed that the proposed procedure is robust and stable over a wide range of its parameters. Cost comparisons indicate that while not optimized from a coding viewpoint, the proposed procedure is marginally more expensive than a fully optimized SIMPLE procedure. However, the significant benefits available with the proposed procedure more than offset the observed cost penalties.