Abstract | ||
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In this work, we describe, analyze, and implement a pseudospectral quadrature method for a global computer modeling of the incompressible surface Navier-Stokes equations on the rotating unit sphere. Our spectrally accurate numerical error analysis is based on the Gevrey regularity of the solutions of the Navier-Stokes equations on the sphere. The scheme is designed for convenient application of fast evaluation techniques such as the fast Fourier transform (FFT), and the implementation is based on a stable adaptive time discretization. |
Year | DOI | Venue |
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2011 | 10.1090/S0025-5718-2010-02440-8 | MATHEMATICS OF COMPUTATION |
Keywords | Field | DocType |
Navier-Stokes equations,unit sphere,vector spherical harmonics | Nyström method,Mathematical optimization,Mathematical analysis,Vector spherical harmonics,Rotating spheres,Mathematics,Pseudo-spectral method,Navier–Stokes equations,Unit sphere | Journal |
Volume | Issue | ISSN |
80 | 275 | 0025-5718 |
Citations | PageRank | References |
0 | 0.34 | 3 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
M. Ganesh | 1 | 33 | 10.45 |
Quoc Thong Le Gia | 2 | 5 | 1.30 |
Ian H. Sloan | 3 | 1180 | 183.02 |