A finite element scheme for two-layer viscous shallow-water equations
نویسندگان
چکیده
منابع مشابه
Two Element-by-Element Iterative Solutions for Shallow Water Equations
In this paper we apply the generalized Taylor–Galerkin finite element model to simulate bore wave propagation in a domain of two dimensions. For stability and accuracy reasons, we generalize the model through the introduction of four free parameters. One set of parameters is rigorously determined to obtain the high-order finite element solution. The other set of free parameters is determined fr...
متن کاملCentral-Upwind Schemes for Two-Layer Shallow Water Equations
We derive a second-order semi-discrete central-upwind scheme for oneand two-dimensional systems of two-layer shallow water equations. We prove that the presented scheme is wellbalanced in the sense that stationary steady-state solutions are exactly preserved by the scheme, and positivity preserving, that is, the depth of each fluid layer is guaranteed to be nonnegative. We also propose a new te...
متن کاملAn Entropy Satisfying Scheme for Two-layer Shallow Water Equations with Uncoupled Treatment
We consider the system of partial differential equations governing the one-dimensional flow of two superposed immiscible layers of shallow water. The difficulty in this system comes from the coupling terms involving some derivatives of the unknowns that make the system nonconservative, and eventually nonhyperbolic. Due to these terms, a numerical scheme obtained by performing an arbitrary schem...
متن کاملCauchy problem for viscous rotating shallow water equations
We consider the Cacuhy problem for a viscous compressible rotating shallow water system with a third-order surface-tension term involved, derived recently in the modelling of motions for shallow water with free surface in a rotating sub-domain [18]. The global existence of the solution in the space of Besov type is shown for initial data close to a constant equilibrium state away from the vacuu...
متن کاملOn the Well-Posedness for the Viscous Shallow Water Equations
In this paper, we prove the existence and uniqueness of the solutions for the 2D viscous shallow water equations with low regularity assumptions on the initial data as well as the initial height bounded away from zero.
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: Japan Journal of Industrial and Applied Mathematics
سال: 2006
ISSN: 0916-7005,1868-937X
DOI: 10.1007/bf03167549