𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Quadratic spline methods for the shallow water equations on the sphere: Galerkin

✍ Scribed by Anita T. Layton; Christina C. Christara; Kenneth R. Jackson


Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
234 KB
Volume
71
Category
Article
ISSN
0378-4754

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Cubic Spline Collocation Method for the
✍ Anita T. Layton πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 140 KB

Spatial discretization schemes commonly used in global meteorological applications are currently limited to spectral methods or low-order finite-difference/finiteelement methods. The spectral transform method, which yields high-order approximations, requires Legendre transforms, which have a computa

Lagrange–Galerkin Methods on Spherical G
✍ Francis X. Giraldo πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 387 KB

The weak Lagrange-Galerkin finite element method for the 2D shallow water equations on the sphere is presented. This method offers stable and accurate solutions because the equations are integrated along the characteristics. The equations are written in 3D Cartesian conservation form and the domains

The Spectral Element Method for the Shal
✍ Mark Taylor; Joseph Tribbia; Mohamed Iskandarani πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 575 KB

any potential climate model should perform well on these tests. In this paper we will present the results from these The spectral element method is implemented for the shallow water equations in spherical geometry and its performance is com-test cases after first comparing and contrasting the spect

Nodal High-Order Discontinuous Galerkin
✍ F.X. Giraldo; J.S. Hesthaven; T. Warburton πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 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