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Artículo
Extension of WAF type methods to non-homogeneous Shallow Water Equations with pollutant
(Plenum Press, 2008)
This paper deals with the extension of the WAF method to discretize Shallow Water Equations with pollutants. We consider two different versions of the WAF method, by approximating the intermediate waves using the flux of ...
Artículo
Existence of a global weak solution for a 2d viscous bi-layer Shallow Water model
(Elsevier Science, 2009)
We consider a non-linear viscous bi-layer shallow water model with capillarity effects and extra friction terms in a two-dimensional space. This system is issued from a derivation of three-dimensional Navier–Stokes equations ...
Artículo
Numerical analysis of the PSI solution of advection–diffusion problems through a Petrov–Galerkin formulation
(World Scientific Publishing, 2007)
We consider a system composed by two immiscible fluids in two-dimensional space that can be modelized by a bilayer Shallow Water equations with extra friction terms and capillary effects. We give an existence theorem of ...
Artículo
Derivation of a bilayer model for shallow water equations with viscosity. Numerical validation
(Tech Science Press, 2009)
In this work we present a new two-dimensional bilayer Shallow-Water model including viscosity and friction effects on the bottom and interface level. It is obtained following [[6]] from an asymptotic analysis of non-dimensional ...