Finite difference schemes for incompressible flows in vorticity formulations
Courant Institute of Mathematical Sciences New York University New York, NY 10012, USA
2 Department of Mathematics Temple University Philadelphia, PA 19122, USA
In this paper, we review some recent progress made in [4, 5, 6] on finite difference schemes for viscous incompressible flows using vorticity formulation. The main purpose of this series of papers [4, 5, 6] is to resurrect the idea of using local vorticity boundary condition for unsteady calculation. The emphasis is on simplicity of the methods. Three main issues will be discussed: efficient time-stepping procedures and cell Reynolds number constraints, efficient methods in 3D on non-staggered grids and efficient high order methods using compact differencing.
© EDP Sciences, ESAIM, 1996