Well-Balanced Finite Volume Scheme for Shallow Water Flooding and Drying Over Arbitrary Topography
نویسندگان
چکیده
منابع مشابه
On a well-balanced high-order finite volume scheme for shallow water equations with topography and dry areas
Shallow water equations are widely used in ocean and hydraulic engineering to model flows in rivers, reservoirs or coastal areas, among others applications. In the form considered in this paper, they constitute a hyperbolic system of conservation laws with a source term due to the bottom topography. In recent years, there has been increasing interest concerning the design of high-order numerica...
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A characteristic feature of hyperbolic systems of balance laws is the existence of non-trivial equilibrium solutions, where the effects of convective fluxes and source terms cancel each other. Recently a number of so-called well-balanced schemes were developed which satisfy a discrete analogue of this balance and are therefore able to maintain an equilibrium state. In most cases, applications t...
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ژورنال
عنوان ژورنال: Engineering Applications of Computational Fluid Mechanics
سال: 2013
ISSN: 1994-2060,1997-003X
DOI: 10.1080/19942060.2013.11015452