On pressure boundary conditions for the incompressible NavierStokes equations
Abstract
The problem of specifying boundary conditions for the Poisson equation of pressure in the numerical solution of the NavierStokes equations for incompressible flow is investigated analytically. The principles of mass and momentum conservation and a continuity argument are shown to lead to a Neumann condition which is the correct boundary condition and can be obtained by application at the boundary of the normal component of the momentum equation. Numerical results for three sample problems are presented in extensive tables and graphs and discussed in detail, and the behavior of pressure schemes combining different pressure Poisson equations and boundary conditions is evaluated.
 Publication:

International Journal for Numerical Methods in Fluids
 Pub Date:
 October 1987
 DOI:
 10.1002/fld.1650071008
 Bibcode:
 1987IJNMF...7.1111G
 Keywords:

 Boundary Conditions;
 Boundary Value Problems;
 Incompressible Flow;
 NavierStokes Equation;
 Pressure;
 Computational Grids;
 Conservation Laws;
 Flow Velocity;
 Partial Differential Equations;
 Poisson Equation;
 Fluid Mechanics and Heat Transfer