IJPAM: Volume 68, No. 3 (2011)
DERIVATION AND NUMERICAL STUDY OF
A NEW VISCOUS SHALLOW WATER BIFLUID MODEL
A NEW VISCOUS SHALLOW WATER BIFLUID MODEL
Christian Bourdarias
, Timack Ngom
, Marguerite Gisclon
Laboratorie de Mathematiques - LAMA, UMR 5127 CNRS
Université de Savoie
Le Bourget du Lac Cedex, 73376, FRANCE
e-mail: christian.bourdarias@univ-savoie.fr
e-mail: marguerite.gisclons@univ-savoie.fr
LANI
Université de Gaston Berger
UFR SAT BP 234 Saint-Louis, SÉNÉGAL
e-mail: leontimack@yahoo.fr




Université de Savoie
Le Bourget du Lac Cedex, 73376, FRANCE



Université de Gaston Berger
UFR SAT BP 234 Saint-Louis, SÉNÉGAL
e-mail: leontimack@yahoo.fr
Abstract. We consider the flow of two Newtonian, incompressible and nonmiscible fluids in a 2D thin domain.
Starting from the Navier-Stokes equations and using the method of asymptotic expansions we derive a
1D viscous shalow water bifluid model. Numerical simulations are performed using a finite volume
method.
Received: September 12, 2010
AMS Subject Classification: 35Q30, 35Q35, 65N08, 76D05, 76D50
Key Words and Phrases: bifluid model, thin domain, viscous shalow water model, Navier-Stokes equations, asymptotic expansion
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2011
Volume: 68
Issue: 3