A pseudospectral quadrature method for Navier-Stokes equations on rotating spheres
Numerical Analysis
2010-09-20 v1
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.
Cite
@article{arxiv.1009.3308,
title = {A pseudospectral quadrature method for Navier-Stokes equations on rotating spheres},
author = {M. Ganesh and Q. T. Le Gia and I. H. Sloan},
journal= {arXiv preprint arXiv:1009.3308},
year = {2010}
}
Comments
32 pages, 17 figures, accepted by Mathematics of Computation