The Derivation of the Saint-Venant Equations Full article
Journal |
Bulletin of the Novosibirsk Computing Center. Series: Numerical Modeling in Atmosphere, Ocean, and Environment Studies
ISSN: 1680-6999 , E-ISSN: 2541-9161 |
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Output data | Year: 2017, Volume: 16, Pages: 21-35 Pages count : 15 | ||||
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Abstract:
The water motion in real river-beds is described by the mathematical models that under appropriate assumptions are various approximations of hydro- dynamic equations, or the Navier{Stokes equations. The mathematical model of a water fow, based on the laws of conservation of momentum and mass of fluid, was proposed by Saint-Venant. The Saint{Venant equations (the shallow-water equa- tions) are often used in theoretical and applied studies of the unsteady water motion in free channels. In this paper, the rigorous deduction of the shallow-water equa- tions from the Navier{Stokes equations using the recommendations and methods proposed in [1] is presented.
Cite:
Krylova A.
, Antipova E.
, Perevozkin D.
The Derivation of the Saint-Venant Equations
Bulletin of the Novosibirsk Computing Center. Series: Numerical Modeling in Atmosphere, Ocean, and Environment Studies. 2017. V.16. P.21-35. РИНЦ
The Derivation of the Saint-Venant Equations
Bulletin of the Novosibirsk Computing Center. Series: Numerical Modeling in Atmosphere, Ocean, and Environment Studies. 2017. V.16. P.21-35. РИНЦ
Identifiers:
Elibrary | 30381211 |
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