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Spectral method for vorticity‐stream function form of Navier–Stokes equations with slip boundary conditions
Author(s) -
Yujian Jiao,
Benyu Guo
Publication year - 2012
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1549
Subject(s) - mathematics , vorticity , stream function , navier–stokes equations , slip (aerodynamics) , boundary value problem , mathematical analysis , convergence (economics) , spectral method , boundary (topology) , stability (learning theory) , function (biology) , vortex , mechanics , computer science , physics , machine learning , evolutionary biology , biology , compressibility , economics , thermodynamics , economic growth
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.