A Finite-Volume Mass- and Vorticity-Conserving Shallow-Water Model using Penta-/Hexagonal Grids

William Sawyer () and Rolf Jeltsch
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William Sawyer: Swiss Federal Institute of Technology (ETH Zurich)
Rolf Jeltsch: Swiss Federal Institute of Technology (ETH Zurich)

A chapter in Numerical Mathematics and Advanced Applications, 2004, pp 746-755 from Springer

Abstract: Summary A finite-volume scheme using penta-/hexagonal (PH) grids is presented for the shallow water model on the sphere. The irregular structure of the PH grid presents new challenges, e.g. for the calculation of energy gradients. Radial basis functions (RBFs) are employed for the accurate and efficient approximation of these values. The resulting algorithm is shown to be mass- and vorticity-conserving, and initial numerical results are presented.

Keywords: Radial Basis Function; Hexagonal Grid; Perpendicular Bisector; Absolute Vorticity; Orthogonal Grid (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-18775-9_73

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DOI: 10.1007/978-3-642-18775-9_73

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