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A time-staggered semi-Lagrangian discretization of the rotating shallow-water equations

✍ Scribed by Andrew Staniforth; Nigel Wood; Sebastian Reich

Book ID
111775913
Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
354 KB
Volume
132
Category
Article
ISSN
0035-9009

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📜 SIMILAR VOLUMES

Coupling a mass-conserving semi-Lagrangi
Coupling a mass-conserving semi-Lagrangian scheme (SLICE) to a semi-implicit discretization of the shallow-water equations: Minimizing the dependence on a reference atmosphere
✍ J. Thuburn; M. Zerroukat; N. Wood; A. Staniforth 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 379 KB

## Abstract In a recent paper, a conservative semi‐Lagrangian mass transport scheme SLICE has been coupled to a semi‐implicit semi‐Lagrangian scheme for the shallow‐water equations. The algorithm involves the solution at each timestep of a nonlinear Helmholtz problem, which is achieved by iterative

An inherently mass-conserving semi-impli
An inherently mass-conserving semi-implicit semi-Lagrangian discretisation of the shallow-water equations on the sphere
✍ M. Zerroukat; N. Wood; A. Staniforth; A. A. White; J. Thuburn 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 674 KB

## Abstract For the shallow‐water equations on the sphere, an inherently mass‐conserving semi‐Lagrangian discretisation (SLICE) of the continuity equation is coupled with a semi‐implicit semi‐Lagrangian discretisation of the momentum equations. Various tests from the literature (two with analytical