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Issue ESAIM: PROC
Volume 1, 1996
Vortex flows an related numerical methods II
Page(s) 181 - 195
DOI 10.1051/proc:1996009

ESAIM: Proc., 1996, Vol. 1, pp. 181-195
DOI: 10.1051/proc:1996009

Finite difference schemes for incompressible flows in vorticity formulations

Weinan E1 and Jian-Guo Liu2

1  Courant Institute of Mathematical Sciences New York University New York, NY 10012, USA
2  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.



© EDP Sciences, ESAIM 1996


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