title: General bounce-back scheme for concentration boundary condition in the lattice-Boltzmann method.
abstract: In this paper, a general bounce-back scheme is proposed to implement concentration or thermal boundary conditions of convection-diffusion equation with the lattice Boltzmann method (LBM). Using this scheme, the general concentration boundary conditions, i.e., b1(∂Cw/∂n) + b2Cw = b3, can be easily implemented at boundaries with complex geometry structure like that in porous media. The numerical results obtained using the present scheme are in excellent agreement with the analytical solutions of flows with both stationary and moving interfaces. Furthermore, to better understand the halfway bounce-back scheme, an analytical study of the concentration jump is presented. The studies of theoretical analysis and numerical experiments demonstrate that the proposed scheme has second-order accuracy.
authors.affiliation: National Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074, China.
authors.forename: Ting
authors.initials: T
authors.lastname: Zhang
authors.forename: Baochang
authors.initials: B
authors.lastname: Shi
authors.forename: Zhaoli
authors.initials: Z
authors.lastname: Guo
authors.forename: Zhenhua
authors.initials: Z
authors.lastname: Chai
authors.forename: Jianhua
authors.initials: J
authors.lastname: Lu