title: Consistent lattice Boltzmann methods for incompressible axisymmetric flows.
abstract: In this work, consistent lattice Boltzmann (LB) methods for incompressible axisymmetric flows are developed based on two efficient axisymmetric LB models available in the literature. In accord with their respective original models, the proposed axisymmetric models evolve within the framework of the standard LB method and the source terms contain no gradient calculations. Moreover, the incompressibility conditions are realized with the Hermite expansion, thus the compressibility errors arising in the existing models are expected to be reduced by the proposed incompressible models. In addition, an extra relaxation parameter is added to the Bhatnagar-Gross-Krook collision operator to suppress the effect of the ghost variable and thus the numerical stability of the present models is significantly improved. Theoretical analyses, based on the Chapman-Enskog expansion and the equivalent moment system, are performed to derive the macroscopic equations from the LB models and the resulting truncation terms (i.e., the compressibility errors) are investigated. In addition, numerical validations are carried out based on four well-acknowledged benchmark tests and the accuracy and applicability of the proposed incompressible axisymmetric LB models are verified.
authors.affiliation: School of Chemical and Biomedical Engineering, Nanyang Technological University, Singapore 637459, Singapore.|Department of Engineering Mechanics, College of Aerospace Engineering, Chongqing University, Chongqing 400044, People's Republic of China.
authors.forename: Liangqi
authors.initials: L
authors.lastname: Zhang
authors.affiliation: School of Chemical and Biomedical Engineering, Nanyang Technological University, Singapore 637459, Singapore.
authors.forename: Shiliang
authors.initials: S
authors.lastname: Yang
authors.affiliation: Department of Engineering Mechanics, College of Aerospace Engineering, Chongqing University, Chongqing 400044, People's Republic of China.|State Key Laboratory of Coal Mine Disaster Dynamics and Control, Chongqing University, Chongqing 400044, People's Republic of China.
authors.forename: Zhong
authors.initials: Z
authors.lastname: Zeng
authors.affiliation: Department of Engineering Mechanics, College of Aerospace Engineering, Chongqing University, Chongqing 400044, People's Republic of China.
authors.forename: Linmao
authors.initials: L
authors.lastname: Yin
authors.affiliation: School of Chemical and Biomedical Engineering, Nanyang Technological University, Singapore 637459, Singapore.
authors.forename: Ya
authors.initials: Y
authors.lastname: Zhao
authors.affiliation: School of Chemical and Biomedical Engineering, Nanyang Technological University, Singapore 637459, Singapore.|Singapore Membrane Technology Center, Nanyang Environment and Water Research Institute, Nanyang Technological University, Singapore 637141, Singapore.
authors.forename: Jia Wei
authors.initials: JW
authors.lastname: Chew