Numerical modeling of avalanches based on Saint Venant equations using a kinetic scheme
نویسندگان
چکیده
منابع مشابه
Numerical Study of Staggered Scheme for Viscous Saint-Venant Equations
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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We consider a novel second-order central-upwind scheme for the Saint-Venant system of shallow water equations on triangular grids which was originally introduced in [3] . Here, in several numerical experiments we demonstrate accuracy, high resolution and robustness of the proposed method.
متن کاملA Two-Dimensional Numerical Scheme of Dry/Wet Fronts for the Saint-Venant System of Shallow Water Equations
We propose a new two-dimensional numerical scheme to solve the Saint-Venant system of shallow water equations in the presence of partially flooded cells. Our method is well-balanced, positivity preserving, and handles dry states. The latter is ensured by using the draining time step technique in the time integration process, which guarantees non-negative water depths. Unlike previous schemes, o...
متن کاملCentral-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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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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ژورنال
عنوان ژورنال: Journal of Geophysical Research
سال: 2003
ISSN: 0148-0227
DOI: 10.1029/2002jb002024