Derivation of Viscous Saint-Venant System for Laminar Shallow Water ; Numerical Validation
Gerbeau, Jean-Frédéric ; Perthame, Benoît
HAL, hal-00691701 / Harvested from HAL
Text on HAL
We derive the Saint-Venant system for the shallow waters including small friction, viscosity and Coriolis-Boussinesq factor departing from the Navier-Stokes system with a free moving boundary. This derivation relies on the hydrostatic approximation where we follow the role of viscosity and friction on the bottom. Numerical comparisons between the limiting Saint-Venant system and direct Navier-Stokes simulation allow to validate this derivation.
Publié le : 2001-07-05
Classification:  [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA] 
@article{hal-00691701,
     author = {Gerbeau, Jean-Fr\'ed\'eric and Perthame, Beno\^\i t},
     title = {Derivation of Viscous Saint-Venant System for Laminar Shallow Water ; Numerical Validation},
     journal = {HAL},
     volume = {2001},
     number = {0},
     year = {2001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00691701}
}

Gerbeau, Jean-Frédéric; Perthame, Benoît. Derivation of Viscous Saint-Venant System for Laminar Shallow Water ; Numerical Validation. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-00691701/