๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Fast and high-order solutions to the spherical shallow water equations

โœ Scribed by William F. Spotz; Mark A. Taylor; Paul N. Swarztrauber

Book ID
104308699
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
103 KB
Volume
33
Category
Article
ISSN
0168-9274

No coin nor oath required. For personal study only.

โœฆ Synopsis

Fast methods for computing the spatial derivatives of functions on the sphere are studied for use in explicit time-stepping approximations to the spherical shallow water equations. Filtering must be used to stabilize these methods, and attention is directed to Fourier and spherical harmonic filtering. Selected model problem results and filter timings are presented. Preliminary results indicate that spectral results can be achieved in approximately onethird the time of the spectral transform method.

๐Ÿ“œ SIMILAR VOLUMES

Nodal High-Order Discontinuous Galerkin
Nodal High-Order Discontinuous Galerkin Methods for the Spherical Shallow Water Equations
โœ F.X. Giraldo; J.S. Hesthaven; T. Warburton ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 433 KB

We present a high-order discontinuous Galerkin method for the solution of the shallow water equations on the sphere. To overcome well-known problems with polar singularities, we consider the shallow water equations in Cartesian coordinates, augmented with a Lagrange multiplier to ensure that fluid p