Justification of Shallow-Water Theory

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7 Citations (Scopus)


The basic conservation laws of shallow-water theory are derived from multidimensional mass and momentum integral conservation laws describing the plane-parallel flow of an ideal incompressible fluid above the horizontal bottom. This conclusion is based on the concept of hydrostatic approximation, which generalizes the concept of long-wavelength approximation and is used for justifying the applicability of the shallow-water theory in the simulation of wave flows of fluid with hydraulic bores.

Original languageEnglish
Pages (from-to)33-37
Number of pages5
JournalDoklady Physics
Issue number1
Publication statusPublished - 1 Jan 2018


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