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On the Application of Shallow Water Theory to Modeling Wave Flows with Hydraulic Bores

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Abstract

The basic conservation laws of the shallow water theory are deduced from the multidimensional integral conservation laws of mass and total impulse describing the flow of ideal incompressible fluid over the horizontal bottom. This derivation is based on the concept of the local hydrostatic approximation which generalizes the long wave approximation and is used to justify the application of the shallow water theory to modeling wave flows of fluid with hydraulic bores.

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Authors and Affiliations

  1. Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Nobosibirsk, Russia

    V. V. Ostapenko

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  1. V. V. Ostapenko
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Correspondence to V. V. Ostapenko.

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Original Russian Text © V.V. Ostapenko, 2018, published in Prikladnaya Matematika i Mekhanika, 2018, Vol. 82, No. 4, pp. 441–458.

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Ostapenko, V.V. On the Application of Shallow Water Theory to Modeling Wave Flows with Hydraulic Bores. Fluid Dyn 53 (Suppl 2), 19–33 (2018). https://doi.org/10.1134/S0015462818060071

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  • DOI: https://doi.org/10.1134/S0015462818060071

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