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A nonhydrostatic unstructured-mesh soundproof model for simulation of internal gravity waves

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posted on 15.10.2013 by Piotr K. Smolarkiewicz, Joanna Szmelter
A semi-implicit edge-based unstructured-mesh model is developed that integrates nonhydrostatic soundproof equations, inclusive of anelastic and pseudo-incompressible systems of partial differential equations. The model builds on nonoscillatory forward-in-time MPDATA approach using finite-volume discretization and unstructured meshes with arbitrarily shaped cells. Implicit treatment of gravity waves benefits both accuracy and stability of the model. The unstructured-mesh solutions are compared to equivalent structured-grid results for intricate, multiscale internal-wave phenomenon of a non-Boussinesq amplification and breaking of deep stratospheric gravity waves. The departures of the anelastic and pseudo-incompressible results are quantified in reference to a recent asymptotic theory [Achatz et al. 2010, J. Fluid Mech., 663, 120-147)].

History

School

  • Mechanical, Electrical and Manufacturing Engineering

Citation

SMOLARKIEWICZ, P.K. and SZMELTER, J., 2011. A nonhydrostatic unstructured-mesh soundproof model for simulation of internal gravity waves. Acta Geophysica, 59 (6), pp. 1109 - 1134

Publisher

Versita / © Institute of Geophysics, Polish Academy of Sciences

Version

AM (Accepted Manuscript)

Publication date

2011

Notes

This article was published in the journal, Acta Geophysica [Versita / © Institute of Geophysics, Polish Academy of Sciences]. The definitive version is available at: http://dx.doi.org/10.2478/s11600-011-0043-z

ISSN

1895-6572

Language

en

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