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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/13382

Title: An edge-based unstructured mesh discretisation in geospherical framework
Authors: Szmelter, Joanna
Smolarkiewicz, Piotr K.
Keywords: Unstructured meshes
Global models
Non-oscillatory forward-in-time schemes
PDE on the sphere
Edge-based finite-volume schemes
Issue Date: 2010
Publisher: © Elsevier
Citation: SZMELTER, J. and SMOLARKIEWICZ, P.K., 2010. An edge-based unstructured mesh discretisation in geospherical framework. Journal of Computational Physics, 229 (13), pp. 4980 - 4995.
Abstract: An arbitrary finite-volume approach is developed for discretising partial differential equations governing fluid flows on the sphere. Unconventionally for unstructured-mesh global models, the governing equations are cast in the anholonomic geospherical framework established in computational meteorology. The resulting discretisation retains proven properties of the geospherical formulation, while it offers the flexibility of unstructured meshes in enabling irregular spatial resolution. The latter allows for a global enhancement of the spatial resolution away from the polar regions as well as for a local mesh refinement. A class of non-oscillatory forward-in-time edge-based solvers is developed and applied to numerical examples of three-dimensional hydrostatic flows, including shallow-water benchmarks, on a rotating sphere.
Description: This article was published in the serial, Journal of Computational Physics [© Elsevier]. The definitive version is available at: http://dx.doi.org/10.1016/j.jcp.2010.03.017
Version: Accepted for publication
DOI: 10.1016/j.jcp.2010.03.017
URI: https://dspace.lboro.ac.uk/2134/13382
Publisher Link: http://dx.doi.org/10.1016/j.jcp.2010.03.017
ISSN: 0021-9991
Appears in Collections:Published Articles (Mechanical, Electrical and Manufacturing Engineering)

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