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

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

2010-09-17

arxiv.org/abs/1009.3308v1

Mathematics

Numerical Analysis

32 pages, 17 figures, accepted by Mathematics of Computation

Scientific paper

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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