Meshless schemes for unsteady Navier-Stokes equations in vorticity formulation using radial basis functions

Authors:
Zhang Yun-Xin;Tan Yong-Ji
Affiliations:
Institute of Mathematics, Fudan University, Shanghai, China;Institute of Mathematics, Fudan University, Shanghai, China
Venue:
Journal of Computational and Applied Mathematics
Year:
2006

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Abstract

In this paper, we provide a new scheme for unsteady incompressible flows in vorticity-stream function formulation. Combined with the radial basis functions method, it is an efficient meshless method. Optimal accuracy can be achieved using this method. The efficiency and accuracy are demonstrated by numerical examples.