Coupled free-flow and porous-medium systems: Stokes-Brinkman-Darcy models
Linheng Ruan
Université de Stuttgart (Allemagne)
https://www.ians.uni-stuttgart.de/institute/team/Ruan-00001/
Date(s) : 01/10/2024 iCal
11h00 - 12h00
Coupled fluid–porous systems appear in a wide range of environmental settings and industrial applications. Suitable coupling concepts should be applied to characterise fluid behaviour between the plain fluid and porous medium. Most of the coupling conditions are limited for the flows parallel or perpendicular to the fluid–porous interface. In this talk, we consider a transition zone between the free-flow and porous-medium regions and propose both full- and reduced-dimensional Stokes–Brinkman–Darcy models. The full-dimensional model consists of the Stokes equations in the free flow, the Brinkman equations in the transition zone, and Darcy’s law in the porous medium. Appropriate interface conditions are chosen at the respective interfaces (free flow/transition zone, transition zone/porous medium). In the reduced-dimensional formulation, the thickness of the transition zone is assumed to be small enough, and we treat it as a lower dimensional inclusion. The Brinkman equations are averaged across the transition zone and coupled to the full-dimensional Stokes and Darcy equations with suitable transmission conditions. The well-posedness of both full- and reduced-dimensional problems is proved. The numerical simulation results are provided and validated against alternative coupling conditions available in the literature.
Emplacement
FRUMAM, St Charles (2ème étage)
Catégories
