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

作者：

Highlights：

• A Dirichlet boundary value problem for the nonlinear D-F-B system on a bounded Lipschitz domain in Rnn=2,3, is considered.

• The existence and uniqueness of a weak solution of the linear Brinkman system is proved using the potential theory technique.

• The well-posed result is extended to the nonlinear D-F-B system using Banach Contraction Principle.

• A numerical simulation of the flow in a two dimensional lid-driven porous cavity with internal square block is performed taking into account different parameters.

摘要

•A Dirichlet boundary value problem for the nonlinear D-F-B system on a bounded Lipschitz domain in Rnn=2,3, is considered.•The existence and uniqueness of a weak solution of the linear Brinkman system is proved using the potential theory technique.•The well-posed result is extended to the nonlinear D-F-B system using Banach Contraction Principle.•A numerical simulation of the flow in a two dimensional lid-driven porous cavity with internal square block is performed taking into account different parameters.

论文关键词：Lipschitz domain,Nonlinear Darcy-Forchheimer-Brinkman system,Potential theory,Dirichlet problem,Lid-driven cavity

论文评审过程：Received 1 May 2020, Revised 8 December 2020, Accepted 13 December 2020, Available online 10 March 2021, Version of Record 10 March 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125906