Email this article On the Application of Shallow Water Theory to Modeling Wave Flows with Hydraulic Bores
- Authors: Ostapenko V.V.1
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Affiliations:
- Lavrentyev Institute of Hydrodynamics, Siberian Branch
- Issue: Vol 53, No 2 (2018): Suppl
- Pages: 19-33
- Section: Article
- URL: https://journals.rcsi.science/0015-4628/article/view/156086
- DOI: https://doi.org/10.1134/S0015462818060071
- ID: 156086
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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.
About the authors
V. V. Ostapenko
Lavrentyev Institute of Hydrodynamics, Siberian Branch
Author for correspondence.
Email: ostapenko_vv@ngs.ru
Russian Federation, Nobosibirsk
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