Finite difference schemes for incompressible flows in the vorticity formulations

Weinan E New York University Jian-Guo Liu Temple University

Numerical Analysis and Scientific Computing mathscidoc:1702.25070

Esaim Proceedings, 1, 181-195, 1996.1
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.
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@inproceedings{weinan1996finite,
  title={Finite difference schemes for incompressible flows in the vorticity formulations},
  author={Weinan E, and Jian-Guo Liu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170209134054073864406},
  booktitle={Esaim Proceedings},
  volume={1},
  pages={181-195},
  year={1996},
}
Weinan E, and Jian-Guo Liu. Finite difference schemes for incompressible flows in the vorticity formulations. 1996. Vol. 1. In Esaim Proceedings. pp.181-195. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170209134054073864406.
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