Geodesic
Finite difference schemes for incompressible flows in vorticity formulations
Weinan E1 ; 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
ESAIM. Proceedings, Tome 1 (1996), pp. 181-195.

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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.
DOI : 10.1051/proc:1996009

Weinan E 1 ; Jian-Guo Liu 2

1 Courant Institute of Mathematical Sciences New York University New York, NY 10012, USA
2 Department of Mathematics Temple University Philadelphia, PA 19122, USA 
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Weinan E; Jian-Guo Liu. Finite difference schemes for incompressible flows in vorticity formulations. ESAIM. Proceedings, Tome 1 (1996), pp. 181-195. doi : 10.1051/proc:1996009. http://geodesic.mathdoc.fr/articles/10.1051/proc:1996009/

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