On the Neumann problem for the pressure in a NavierStokes model
Abstract
The numerical solution of two dimensional viscous incompressible fluid flow is treated. As the transient pressure solution is required, the differential system is formulated in terms of primitive variables. The equation of motion is split into divergence free and curl free parts. The pressure is solved, using the marker and cell algorithm. The Neumann problem for the pressure must satisfy a Gauss theorem. Care has to be taken to fulfill this compatibility condition in discrete form. Results show that by using a regular grid this is not realized in general. Particular attention is paid to the treatment of boundary conditions on a spacestaggered grid.
 Publication:

Presented at 2nd Intern. Conf. on Numerical Methods in Laminar and Turbulent Flow
 Pub Date:
 August 1981
 Bibcode:
 1981nmlt.conf...13A
 Keywords:

 Boundary Layer Flow;
 Equations;
 Incompressible Flow;
 Neumann Problem;
 Transient Pressures;
 Two Dimensional Flow;
 Viscous Flow;
 Boundary Conditions;
 Compatibility;
 Discrete Functions;
 Equations Of Motion;
 Gauss Equation;
 NavierStokes Equation;
 Primitive Equations;
 Fluid Mechanics and Heat Transfer