A second-order pressure-correction method for viscous incompressible flow
Abstract
An ADI scheme with pressure correction which is second order consistent in space and time is presented. It is shown that the pressure correction method in a system of constrained ordinary differential equations under reasonably weak assumptions leads to a solution with 0 (Delta t sq) accuracy. It is proved that in a linearized simplified case pressure correction does not affect the unconditional stability of the underlying scheme. Application to flow in a glass furnace is illustrated.
- Publication:
-
NASA STI/Recon Technical Report N
- Pub Date:
- 1984
- Bibcode:
- 1984STIN...8528280V
- Keywords:
-
- Computational Fluid Dynamics;
- Flow Equations;
- Incompressible Flow;
- Pressure Effects;
- Viscous Flow;
- Crank-Nicholson Method;
- Differential Equations;
- Navier-Stokes Equation;
- Fluid Mechanics and Heat Transfer