Numerical scheme for solution of an approximation of Saint-Venant equation
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...
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 ...
متن کاملPseudo-spectral Matrix and Normalized Grunwald Approximation for Numerical Solution of Time Fractional Fokker-Planck Equation
This paper presents a new numerical method to solve time fractional Fokker-Planck equation. The space dimension is discretized to the Gauss-Lobatto points, then we apply pseudo-spectral successive integration matrix for this dimension. This approach shows that with less number of points, we can approximate the solution with more accuracy. The numerical results of the examples are displayed.
متن کاملUnconditionally Stable Difference Scheme for the Numerical Solution of Nonlinear Rosenau-KdV Equation
In this paper we investigate a nonlinear evolution model described by the Rosenau-KdV equation. We propose a three-level average implicit finite difference scheme for its numerical solutions and prove that this scheme is stable and convergent in the order of O(τ2 + h2). Furthermore we show the existence and uniqueness of numerical solutions. Comparing the numerical results with other methods in...
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 کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Contemporary Engineering Sciences
سال: 2014
ISSN: 1314-7641
DOI: 10.12988/ces.2014.410195