A kinetic scheme for the Saint-Venant system¶with a source term
نویسندگان
چکیده
منابع مشابه
Central-Upwind Scheme for a Non-hydrostatic Saint-Venant System
We develop a second-order central-upwind scheme for the non-hydrostatic version of the Saint-Venant system recently proposed in [M.-O. Bristeau and J. Sainte-Marie, Discrete Contin. Dyn. Syst. Ser. B, 10 (2008), pp. 733–759]. The designed scheme is both well-balanced (capable of exactly preserving the “lake-at-rest” steady state) and positivity preserving. We then use the central-upwind scheme ...
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In the following lines we propose a numerical scheme for the shallow water system supplemented by topography and friction source terms, in a 2d unstructured context. This work proposes an improved version of the well-balanced and robust numerical model recently introduced in [J. Comp. Phys., 235, 565–586, 2013] for the pre-balanced Shallow Water Equations, accounting for varying topography. The...
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A lot of well-balanced schemes have been proposed for discretizing the classical Saint-Venant system for shallow water flows with non-flat bottom. Among them, the hydrostatic reconstruction scheme is a simple and efficient one. It involves the knowledge of an arbitrary solver for the homogeneous problem (for example Godunov, Roe, kinetic. . . ). If this solver is entropy satisfying, then the hy...
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This paper describes a numerical scheme for approximate the viscous Saint-Venant equations. This scheme is called staggered grid scheme which is a robust, simple and strightforward scheme for viscous SaintVenant equations. Some numerical simulations have been elaborated to validate the accuracy of the scheme, such as the calculation of the convergence rate L1-norm error of the scheme, the compa...
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A family of Godunov-type central-upwind schemes for the Saint-Venant system of shallow water equations has been first introduced in [A. Kurganov and D. Levy, M2AN Math. Model. Numer. Anal., 36, 397-425, 2002]. Depending on the reconstruction step, the second-order versions of the schemes there could be made either well-balanced or positivity preserving, but fail to satisfy both properties simul...
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ژورنال
عنوان ژورنال: Calcolo
سال: 2001
ISSN: 0008-0624,1126-5434
DOI: 10.1007/s10092-001-8181-3