Computation of the twodimensinal incompressible NavierStokes equations using an implicit factored method
Abstract
An implicit factored scheme was used for solving the twodimensional incompressible NavierStokes equations. Pseudo compressibility was introduced in the continuity equation. The nonconservation form was chosen for stability. Von Neumann stability analysis with a model scalr equation showed that the present scheme remains stable under arbitrary coordinate transformations, without adding any numerical dissipation term. Calculation was made for a backwardfacing step flow with the Reynolds number Re = (U peak times H/nu = 58), where H is a step height. Convergence was obtained after about 300 iterations, using a nondimensional time step delta t = 1.0. The calculated results show a reasonable tendency, except that small oscillations appear in the pressure distribution near the corner point. This phenomenon needs to be further investigated.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 1984
 Bibcode:
 1984STIN...8617277K
 Keywords:

 Computational Fluid Dynamics;
 Incompressible Flow;
 NavierStokes Equation;
 Two Dimensional Flow;
 Continuity Equation;
 Pressure Distribution;
 Problem Solving;
 Reynolds Number;
 Stability;
 Fluid Mechanics and Heat Transfer