Three‐layer flows in the shallow water limit
نویسندگان
چکیده
منابع مشابه
Nonclassical Shallow Water Flows
This paper deals with violent discontinuities in shallow water flows with large Froude number F . On a horizontal base, the paradigm problem is that of the impact of two fluid layers in situations where the flow can be modelled as two smooth regions joined by a singularity in the flow field. Within the framework of shallow water theory we show that, over a certain timescale, this discontinuity ...
متن کاملShallow Water Flows in Channels
We consider the shallow water equations for flows through channels with arbitrary cross-section. The system forms a hyperbolic set of balance laws. Exact steady-state solutions are available and are controlled by the relation between the bottom topography and the channel geometry. We use a Roetype upwind scheme for the system. Considerations of conservation, near steady-state accuracy, velocity...
متن کاملResidual Distribution for Shallow Water Flows
The residual distribution framework was developed as an alternative to the finite volume approach for approximating hyperbolic systems of conservation laws which would allow a natural representation of genuinely multidimensional flow features. The resulting algorithms are closely related to conforming finite elements, but their structure makes it far simpler to construct nonlinear approximation...
متن کاملShallow Water Equations: Viscous Solutions and Inviscid Limit
We establish the inviscid limit of the viscous shallow water equations to the Saint-Venant system. For the viscous equations, the viscosity terms are more degenerate when the shallow water is close to the bottom, in comparison with the classical NavierStokes equations for barotropic gases; thus the analysis in our earlier work for the classical Navier-Stokes equations does not apply directly, w...
متن کاملProjection finite volume method for shallow water flows
A simple and accurate projection finite volume method is developed for solving shallow water equations in two space dimensions. The proposed approach belongs to the class of fractional-step procedures where the numerical fluxes are reconstructed using the method of characteristics, while an Eulerian method is used to discretize the conservation equations in a finite volume framework. The method...
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: Studies in Applied Mathematics
سال: 2019
ISSN: 0022-2526,1467-9590
DOI: 10.1111/sapm.12266