Fully Discrete Jacobi-Spherical Harmonic Spectral Method for Navier-Stokes Equations

HUANG Wei; GUO Ben-yu

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Article Navigation > Applied Mathematics and Mechanics > 2008 > 29(4): 409-431

HUANG Wei, GUO Ben-yu. Fully Discrete Jacobi-Spherical Harmonic Spectral Method for Navier-Stokes Equations[J]. Applied Mathematics and Mechanics, 2008, 29(4): 409-431.

Citation:

HUANG Wei, GUO Ben-yu. Fully Discrete Jacobi-Spherical Harmonic Spectral Method for Navier-Stokes Equations[J]. Applied Mathematics and Mechanics, 2008, 29(4): 409-431.

Citation:

HUANG Wei, GUO Ben-yu. Fully Discrete Jacobi-Spherical Harmonic Spectral Method for Navier-Stokes Equations[J]. Applied Mathematics and Mechanics, 2008, 29(4): 409-431.

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Fully Discrete Jacobi-Spherical Harmonic Spectral Method for Navier-Stokes Equations

HUANG Wei¹,
GUO Ben-yu²

1.
Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China;

Received Date: 2007-10-19
Rev Recd Date: 2008-03-07
Publish Date: 2008-04-15

Abstract

Abstract

A fully discrete Jacobi-spherical harmonic spectral method was provided for the Navier-Stokes equations in a ball.Its stability and convergence were proved.Numerical results show the efficiency of this approach.The proposed method is also applicable to other problems in spherical geometry.
- fully discrete Jacobi-spherical harmonic spectral method,
- Navier-Stokes equations in a ball,
- mixed coordinates

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References(37)

References

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