A pseudospectral quadrature method for Navier-Stokes equations on rotating spheres

Ganesh, M.; Le Gia, Q.; Sloan, I.

doi:10.1090/S0025-5718-2010-02440-8

A pseudospectral quadrature method for Navier-Stokes equations on rotating spheres
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by M. Ganesh, Q. T. Le Gia and I. H. Sloan PDF

Math. Comp. 80 (2011), 1397-1430 Request permission

Abstract:

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.

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