River Flow Dynamics with Two-dimensional Shallow-water Equations
نویسندگان
چکیده
منابع مشابه
Upwind schemes for the two-dimensional shallow water equations with variable depth using unstructured meshes
In this paper, certain well-known upwind schemes for hyperbolic equations are extended to solve the two-dimensional Saint-Venant (or shallow water) equations. We consider unstructured meshes and a new type of nite volume to obtain a suitable treatment of the boundary conditions. The source term involving the gradient of the depth is upwinded in a similar way as the ux terms. The resulting schem...
متن کاملShallow Water Equations
where an denotes a vertical acceleration of the fluid, e.g., due to gravity. This formulation can be derived from the NS equations by, most importantly, assuming a hydrostatic pressure along the direction of gravity. Interested readers can find a detailed derivation of these euqations in Section A. In the following sections we will first explain how to solve these equations with a basic solver,...
متن کاملA Discontinuous Galerkin Method for Three-Dimensional Shallow Water Equations
We describe the application of a local discontinuous Galerkin method to the numerical solution of the three-dimensional shallow water equations. The shallow water equations are used to model surface water flows where the hydrostatic pressure assumption is valid. The authors recently developed a DGmethod for the depth-integrated shallow water equations. The method described here is an extension ...
متن کاملAnalysis of the Turkel–Zwas Scheme for the Two-Dimensional Shallow Water Equations in Spherical Coordinates
In this paper we extend the linear transfer function analysis to the two-dimensional shallow water equations in A linear analysis of the shallow water equations in spherical coordinates for the Turkel–Zwas (T–Z) explicit large time-step scheme spherical coordinates for the Turkel–Zwas discretization. is presented. This paper complements the results of Schoenstadt, Actually, we show how to obtai...
متن کاملThe Lagrange-Galerkin Method for the Two-dimensional Shallow Water Equations on Adaptive Grids
Public reporting burden for the collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including s...
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: IOP Conference Series: Materials Science and Engineering
سال: 2018
ISSN: 1757-899X
DOI: 10.1088/1757-899x/414/1/012037