@Article{cmes.2009.043.027,
AUTHOR = {G. Narbona-Reina,  J.D.D. Zabsonré, E.D. Fernández-Nieto, D. Bresch},
TITLE = {Derivation of a Bilayer Model for Shallow Water Equations with Viscosity. Numerical Validation},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {43},
YEAR = {2009},
NUMBER = {1},
PAGES = {27--72},
URL = {http://www.techscience.com/CMES/v43n1/25306},
ISSN = {1526-1506},
ABSTRACT = {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 [Gerbeau and Perthame (2001)] from an asymptotic analysis of non-dimensional and incompressible Navier-Stokes equations with hydrostatic approximation. In order to obtain the viscosity effects into the model we must have into account a second order approximation. To evaluate this model we perform two numerical tests consisting of an internal dam-break problem for both, one and two dimensional cases. In the first one we make a comparison between the model obtained and the Navier-Stokes simulation.},
DOI = {10.3970/cmes.2009.043.027}
}