Vortex Flows and Related Numerical Methods II
ESAIM: Proceedings,
Vol. 1, 1996, pp. 181-195
Finite Difference Schemes for Incompressible Flows
in Vorticity Formulations
Weinan E
Courant Institute of Mathematical Sciences
New York University
New York, NY 10012, USA
Jian-Guo Liu
Department of Mathematics
Temple University
Philadelphia, PA 19122, USA
Abstract
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.
Vortex Flows and Related
Numerical Methods II
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