title: Immersed boundary lattice Boltzmann model based on multiple relaxation times.
abstract: As an alterative version of the lattice Boltzmann models, the multiple relaxation time (MRT) lattice Boltzmann model introduces much less numerical boundary slip than the single relaxation time (SRT) lattice Boltzmann model if some special relationship between the relaxation time parameters is chosen. On the other hand, most current versions of the immersed boundary lattice Boltzmann method, which was first introduced by Feng and improved by many other authors, suffer from numerical boundary slip as has been investigated by Le and Zhang. To reduce such a numerical boundary slip, an immerse boundary lattice Boltzmann model based on multiple relaxation times is proposed in this paper. A special formula is given between two relaxation time parameters in the model. A rigorous analysis and the numerical experiments carried out show that the numerical boundary slip reduces dramatically by using the present model compared to the single-relaxation-time-based model.
authors.affiliation: School of Naval Architecture and Ocean Engineering, Huazhong University of Science and Technology, Wuhan 430074, People's Republic of China. lujhhust@gmail.com
authors.forename: Jianhua
authors.initials: J
authors.lastname: Lu
authors.forename: Haifeng
authors.initials: H
authors.lastname: Han
authors.forename: Baochang
authors.initials: B
authors.lastname: Shi
authors.forename: Zhaoli
authors.initials: Z
authors.lastname: Guo