Integral Conditions for the Pressure in the Computation of Incompressible Viscous Flows
Abstract
The problem of finding the correct conditions for the pressure in the time discretized NavierStokes equations when the incompressibility constraint is replaced by a Poisson equation for the pressure is critically examined. It is shown that the pressure conditions required in a nonfractionalstep scheme to formulate the problem as a system of split secondorder equations are of an integral character and similar to the previously discovered integral conditions for the vorticity. The novel integral conditions for the pressure are used to derive a finite element method which is very similar to that developed by Glowinski and Pironneau and is the finite element counterpart of the influence matrix method of Kleiser and Schumann.
 Publication:

Journal of Computational Physics
 Pub Date:
 February 1986
 DOI:
 10.1016/00219991(86)901324
 Bibcode:
 1986JCoPh..62..340Q
 Keywords:

 Channel Flow;
 Computational Fluid Dynamics;
 Incompressible Flow;
 NavierStokes Equation;
 Poisson Equation;
 Viscous Flow;
 Dirac Equation;
 Finite Element Method;
 Reynolds Number;
 Vorticity;
 Fluid Mechanics and Heat Transfer