Spectral method for vorticity‐stream function form of Navier–Stokes equations with slip boundary conditions |
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| Authors: | Jiao Yu‐jian Guo Ben‐yu |
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| Institution: | Department of Mathematics, Shanghai Normal University, Scientific Computing Key Laboratory of Shanghai Universities, E‐institute for Computational Science of Shanghai Universities, , Shanghai, China, 200234 |
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| Abstract: | In this paper, we propose a spectral method for the vorticity‐stream function form of the Navier–Stokes equations with slip boundary conditions. The numerical solutions fulfill the incompressibility and the physical boundary conditions automatically. The stability and convergence of the proposed methods are proven. Numeric results demonstrate the efficiency of suggested algorithm. Copyright © 2011 John Wiley & Sons, Ltd. |
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| Keywords: | Spectral method vorticity‐stream function form of Navier‐Stokes equations slip boundary conditions |
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