title: Finite-volume method with lattice Boltzmann flux scheme for incompressible porous media flow at the representative-elementary-volume scale.
abstract: Based on the Darcy-Brinkman-Forchheimer equation, a finite-volume computational model with lattice Boltzmann flux scheme is proposed for incompressible porous media flow in this paper. The fluxes across the cell interface are calculated by reconstructing the local solution of the generalized lattice Boltzmann equation for porous media flow. The time-scaled midpoint integration rule is adopted to discretize the governing equation, which makes the time step become limited by the Courant-Friedricks-Lewy condition. The force term which evaluates the effect of the porous medium is added to the discretized governing equation directly. The numerical simulations of the steady Poiseuille flow, the unsteady Womersley flow, the circular Couette flow, and the lid-driven flow are carried out to verify the present computational model. The obtained results show good agreement with the analytical, finite-difference, and/or previously published solutions.
authors.affiliation: School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing 100044, People's Republic of China.
authors.forename: Yang
authors.initials: Y
authors.lastname: Hu
authors.affiliation: School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing 100044, People's Republic of China.
authors.forename: Decai
authors.initials: D
authors.lastname: Li
authors.affiliation: School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, People's Republic of China.
authors.forename: Shi
authors.initials: S
authors.lastname: Shu
authors.affiliation: College of Engineering, Shantou University, Shantou 515063, People's Republic of China.
authors.forename: Xiaodong
authors.initials: X
authors.lastname: Niu