The oddeven hopscotch pressure correction scheme for the incompressible NavierStokes equations
Abstract
The oddeven hopscotch (OEH) timeintegration technique for timedependent partial differential equations is applied to the incompressible NavierStokes equations in conservative form. In order to decouple the computation of the velocity and the pressure, the OEH scheme is applied with the pressure correction technique. The resulting scheme is referred to as the oddeven hopscotch pressure correction (OEHPC) scheme. This scheme requires per time step the solution of a Poisson equation for the computation of the pressure. For space discretization, standard central differences are used. The OEHPC scheme was applied to the NavierStokes equations for the computation of an exact solution, to test the (order of) accuracy of the scheme in time and in space. The scheme behaves 2nd order in time and space. The OEHPC scheme was used for the computation of the flow in a glass furnace. A comparison between two Poisson solvers for the computation of the pressure is presented.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 June 1986
 Bibcode:
 1986STIN...8713690T
 Keywords:

 Computational Fluid Dynamics;
 Incompressible Flow;
 NavierStokes Equation;
 Flow Distribution;
 Flow Velocity;
 Poisson Equation;
 Time Dependence;
 Fluid Mechanics and Heat Transfer