Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4646236 | Applied Numerical Mathematics | 2007 | 23 Pages |
Abstract
Mixed Jacobi-spherical harmonic spectral method is proposed for the Navier–Stokes equations in a ball. Its stability and convergence are proved. Numerical results demonstrate the efficiency of this approach. Some results on the mixed Jacobi-spherical harmonic approximation are established, which play important role in numerical analysis of spectral method in spherical geometry.
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