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Numerical Simulations of the Nonhydrostatic Transformation of Basin-Scale Internal Gravity Waves and Wave-Enhanced Meromixis in Lakes

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Nonlinear Internal Waves in Lakes

Abstract

The processes of the transformation of basin-scale internal waves are simulated by a numerical three-dimensional nonhydrostatic model that is applied to a sequence of idealized problems, namely the transformation and degeneration of basin-scale internal waves in a rectangular basin, in a basin with a sloping bottom, in a basin with a sill and a cross-section constriction, and finally in a small, elongated lake. The results of the simulations are compared with laboratory experiments and with field observations, when they are available.

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Notes

  1. 1.

    For brevity, this will be called a “15-diagonal” matrix.

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  1. Institute of Mathematical Machine and System Problems of National Academy of Sciences of Ukraine, Kiev, Ukraine

    V. Maderich

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  1. V. Maderich
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  2. I. Brovchenko
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  3. K. Terletska
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  1. c/ Versuchsanstalt für Wasserbau, Hydrologie und Glaziologie, ETH Zürich, Gloriastr. 37/39, Zürich, 8092, Switzerland

    Kolumban Hutter

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Maderich, V., Brovchenko, I., Terletska, K., Hutter, K. (2012). Numerical Simulations of the Nonhydrostatic Transformation of Basin-Scale Internal Gravity Waves and Wave-Enhanced Meromixis in Lakes. In: Hutter, K. (eds) Nonlinear Internal Waves in Lakes. Advances in Geophysical and Environmental Mechanics and Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23438-5_4

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