A direct role for the continuity equation in the numerical solution of the incompressible NavierStokes equations
Abstract
Solution procedures for the incompressible NavierStokes equations often require that the pressure field enforce incompressibility. All the component momentum equations are then integrated to give the corresponding velocity components. Here the continuity equation is used to directly compute one of the velocity components. It is then not necessary to integrate the corresponding component momentum equation, which is used only in the derivation of the pressure Poisson equation (PPE). This approach results in accurate enforcement of the continuity equation, and a reduction in the amount of computation. The method has been used to simulate the flow in a twodimensional (2D) driven cavity. The results obtained are almost identical with those produced by the more conventional approach.
 Publication:

AIAA, Aerospace Sciences Meeting
 Pub Date:
 January 1990
 Bibcode:
 1990aiaa.meetT....P
 Keywords:

 Computational Fluid Dynamics;
 Continuity Equation;
 Incompressible Flow;
 NavierStokes Equation;
 Momentum Theory;
 Poisson Equation;
 Roots Of Equations;
 Two Dimensional Flow;
 Fluid Mechanics and Heat Transfer