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Artículo
Formal derivation of a bilayer model coupling shallow water and Reynolds lubrication equations: evolution of a thin pollutant layer over water
(Cambridge University Press, 2013)
In this paper a bilayer model is derived to simulate the evolution of a thin film flow over water. This model is derived from the incompressible Navier-Stokes equations together with suitable boundary conditions including ...
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
Formal deduction of the saint-venant–exner model including arbitrarily sloping sediment beds and associated energy
(Dunod, 2017)
In this work we present a deduction of the Saint-Venant–Exner model through an asymptotic analysis of the Navier–Stokes equations. A multi-scale analysis is performed in order to take into account that the velocity of the ...
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 ...