Email this article Application of Green−Naghdi Equations for Modeling Wave Flows with Undular Bores
- Authors: Ostapenko V.V.1,2
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Affiliations:
- Lavrent’ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences
- Novosibirsk State University
- Issue: Vol 64, No 2 (2019)
- Pages: 66-69
- Section: Mechanics
- URL: https://journals.rcsi.science/1028-3358/article/view/193196
- DOI: https://doi.org/10.1134/S1028335819020046
- ID: 193196
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Abstract
The basic conservation laws in the Green–Naghdi model of shallow-water theory are derived from the two-dimensional integral conservation laws of mass and the total momentum describing the plane-parallel flow in an ideal incompressible fluid above a horizontal bottom. This conclusion is based on the concept of a local hydrostatic approximation, which generalizes the concept of the long-wavelength approximation and is used for analyzing the applicability of the Green–Naghdi equations in modeling the wave flows of a fluid with undular bores.
About the authors
V. V. Ostapenko
Lavrent’ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences; Novosibirsk State University
Author for correspondence.
Email: ostapenko_vv@ngs.ru
Russian Federation, Novosibirsk, 630090; Novosibirsk, 630090
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