On a Dirichlet problem for the Darcy-Forchheimer-Brinkman system with application to lid-driven porous cavity flow with internal square block

Ioan Papuc

Applied Mathematics and Computation, 2021, vol. 402, issue C

Abstract: In this paper we are concerned with both theoretical and numerical study of a Dirichlet boundary value problem for the nonlinear Darcy-Forchheimer-Brinkman system on a bounded Lipschitz domain in Rn(n=2,3). Using the potential theory technique we obtain a well-posed theorem which implies the existence and uniqueness of a weak solution for the aforementioned Dirichlet problem when the boundary data belongs to a L2-based Sobolev space. A numerical investigation of the flow of a viscous fluid through a two dimensional lid-driven porous cavity with a solid square block is performed. The effect of the dimension and position of the internal obstacle on the flow behaviour is analysed.

Keywords: Lipschitz domain; Nonlinear Darcy-Forchheimer-Brinkman system; Potential theory; Dirichlet problem; Lid-driven cavity (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:402:y:2021:i:c:s0096300320308596

DOI: 10.1016/j.amc.2020.125906

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