Paper Info
Title
An improved bounce-back scheme for complex boundary conditions in lattice Boltzmann method
Abstract
In recent years, the lattice Boltzmann method (LBM) has been widely adopted to simulate various fluid systems, and the boundary treatment has been an active topic during the LBM development. In this paper, we present a novel approach to improve the bounce-back boundary treatment for moving surfaces with arbitrary configurations. We follow the framework originally proposed by Ladd [A.J.C. Ladd, Numerical simulations of particulate suspensions via a discretized Boltzman equation. Part 1. Theoretical foundation, Journal of Fluid Mechanics 271 (1994) 285-309]; however, the adjustment in the density distribution during the bouncing-back process at the boundary is calculated using the midpoint velocity inter-/extrapolated from the boundary and fluid velocities, instead of the real boundary velocity in the Ladd method. This modification ensures that the bouncing-back process and the density distribution adjustment both take place at a same location: the midpoint of a boundary lattice link, and thus removes the discrepancy of bouncing-back at the midpoint but density distribution adjustment at the boundary point in the original Ladd method. When compared with other existing boundary models, this method involves a simpler algorithm and exhibits a comparable or even better accuracy in describing flow field and flow-structure interaction, as demonstrated by several test simulations. Therefore, this boundary method could be considered as a competitive alternative for boundary treatment in LBM simulations, especially for particulate and porous flows with large fluid-solid interfacial areas.
Year
DOI
Venue
2012
10.1016/j.jcp.2012.02.014
J. Comput. Physics
Keywords
Field
DocType
boundary point,boundary method,bouncing-back process,improved bounce-back scheme,real boundary velocity,existing boundary model,boundary treatment,density distribution adjustment,bounce-back boundary treatment,lattice boltzmann method,ladd method,complex boundary condition,boundary lattice link,boundary condition
Boundary knot method,Boundary value problem,Mathematical optimization,Boundary (topology),No-slip condition,Boundary conditions in CFD,Boundary layer thickness,Mathematical analysis,Free boundary problem,Singular boundary method,Mathematics
Journal
Volume
Issue
ISSN
231
11
0021-9991
Citations 
PageRank 
References 
2
0.51
5
Authors
2
Name
Order
Citations
PageRank
Xuewen Yin120.51
Junfeng Zhang2202.04