A new two-dimensional Shallow Water model including pressure effects and slow varying bottom topography
نویسندگان
چکیده
منابع مشابه
A New Two-dimensional Shallow Water Model including Pressure Effects and Slow Varying Bottom Topography
The motion of an incompressible fluid confined to a shallow basin with a slightly varying bottom topography is considered. Coriolis force, surface wind and pressure stresses, together with bottom and lateral friction stresses are taken into account. We introduce appropriate scalings into a three-dimensional anisotropic eddy viscosity model; after averaging on the vertical direction and consider...
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We present a simple, robust numerical method for solving the two-layer shallow water equations with arbitrarybottom topography.Using the techniqueof operator splitting,we write the equationsas a pair of hyperbolic systems with readily computed characteristics, and apply third-order-upwind differences to the resulting wave equations. To prevent the thickness of either layer from vanishing, we mo...
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Finite-volume central-upwind schemes for shallow water equations were proposed in [A. Kurganov and G. Petrova, Commun. Math. Sci., 5 (2007), 133–160]. These schemes are capable of maintaining “lake-at-rest” steady states and preserving the positivity of the computed water depth. The well-balanced and positivity preserving features of the central-upwind schemes are achieved, in particular, by us...
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Two dimensional water flow simulations are useful for engineering firms to model floods, river/reservoir behavior, and dam break scenarios. These models allow us to estimate the consequences of such events, which can determine the allocation of funds towards high-risk areas. Much of the work in flood modeling still uses one-dimensional solutions, which model the river as a series of cross-secti...
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This paper derives a set of two dimensional equations describing a thin inviscid fluid layer flowing over topography in a frame rotating about an arbitrary axis. These equations retain various terms involving the locally horizontal components of the angular velocity vector that are discarded in the usual shallow water equations. The obliquely rotating shallow water equations are derived both by...
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ژورنال
عنوان ژورنال: ESAIM: Mathematical Modelling and Numerical Analysis
سال: 2004
ISSN: 0764-583X,1290-3841
DOI: 10.1051/m2an:2004010