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Paper detail

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

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.

preprint2010arXivOpen access
M. GaneshQ. T. Le GiaI. H. Sloan
math.NA
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M. GaneshQ. T. Le GiaI. H. Sloan

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