Title
A pseudospectral quadrature method for Navier-Stokes equations on rotating spheres
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.
Year
DOI
Venue
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. Ganesh13310.45
Quoc Thong Le Gia251.30
Ian H. Sloan31180183.02