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March 2003 A Fast Finite Differenc Method For Solving Navier-Stokes Equations on Irregular Domains
Zhilin Li, Cheng Wang
Commun. Math. Sci. 1(1): 180-196 (March 2003).

Abstract

A fast finite difference method is proposed to solve the incompressible Navier-Stokes equations defined on a general domain. The method is based on the voricity stream-function formulation and a fast Poisson solver defined on a general domain using the immersed interface method. The key to the new method is the fast Poisson solver for general domains and the interpolation scheme for the boundary condition of the stream function. Numerical examples thats show second order accuracy of the computed solution are also provided.

Citation

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Zhilin Li. Cheng Wang. "A Fast Finite Differenc Method For Solving Navier-Stokes Equations on Irregular Domains." Commun. Math. Sci. 1 (1) 180 - 196, March 2003.

Information

Published: March 2003
First available in Project Euclid: 7 June 2005

MathSciNet: MR1979849

Rights: Copyright © 2003 International Press of Boston

Vol.1 • No. 1 • March 2003
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