The effect of Coriolis force on nonlinear convection in a porous medium.
The evolution Darcy-Boussinesq system (a weak maximum principle and the uniqueness)
The finite element method with nodes moving along the characteristics for convection-diffusion equations.
The generalized finite volume SUSHI scheme for the discretization of the peaceman model
We demonstrate some a priori estimates of a scheme using stabilization and hybrid interfaces applying to partial differential equations describing miscible displacement in porous media. This system is made of two coupled equations: an anisotropic diffusion equation on the pressure and a convection-diffusion-dispersion equation on the concentration of invading fluid. The anisotropic diffusion operators in both equations require special care while discretizing by a finite volume method SUSHI. Later,...
The response of skin friction, wall heat transfer and pressure drop to wall waviness in the presence of buoyancy.
Thermal characterizations of exponential fin systems.
Thermal radiation and buoyancy effects on heat and mass transfer over a semi-infinite stretching surface with suction and blowing.
Transport of pollutant in shallow water : a two time steps kinetic method
The aim of this paper is to present a finite volume kinetic method to compute the transport of a passive pollutant by a flow modeled by the shallow water equations using a new time discretization that allows large time steps for the pollutant computation. For the hydrodynamic part the kinetic solver ensures – even in the case of a non flat bottom – the preservation of the steady state of a lake at rest, the non-negativity of the water height and the existence of an entropy inequality. On an other...
Transport of Pollutant in Shallow Water A Two Time Steps Kinetic Method
The aim of this paper is to present a finite volume kinetic method to compute the transport of a passive pollutant by a flow modeled by the shallow water equations using a new time discretization that allows large time steps for the pollutant computation. For the hydrodynamic part the kinetic solver ensures – even in the case of a non flat bottom – the preservation of the steady state of a lake at rest, the non-negativity of the water height and the existence of an entropy inequality. On an other...