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Title: A multiple-relaxation-time lattice Boltzmann method with Beam-Warming scheme for a coupled chemotaxis-fluid model
Authors: Qiao, Z 
Yang, X
Issue Date: Sep-2020
Source: Electronic research archive, Sept. 2020, v. 28, no. 3, p. 1207-1225
Abstract: In this work, a multiple-relaxation-time (MRT) lattice Boltzmann method (LBM) is proposed to solve a coupled chemotaxis-fluid model. In the evolution equation of the proposed LBM, Beam-Warming (B-W) scheme is used to enhance the numerical stability. In numerical experiments, at first, the comparison between the classical LBM and the present LBM with B-W scheme is carried out by simulating blow up phenomenon of the Keller-Segel (K-S) model. Numerical results show that the stability of the present LBM with B-W scheme is better than the classical one. Then, the second order convergence rate of the proposed B-W scheme is verified in the numerical study of the coupled Navier-Stokes (N-S) K-S model. Finally, through solving the coupled chemotaxis-fluid model, the formation of falling bacterial plumes is numerically investigated. Numerical results agree well with existing ones in the literature.
Keywords: Chemotaxis fluid model
Lattice Boltzmann method
Beam-Warming scheme
Publisher: American Institute of Mathematical Sciences
Journal: Electronic research archive 
EISSN:  2688-1594
DOI: 10.3934/era.2020066
Rights: The following publication Zhonghua Qiao, Xuguang Yang. A multiple-relaxation-time lattice Boltzmann method with Beam-Warming scheme for a coupled chemotaxis-fluid model. Electronic Research Archive, 2020, 28 (3) : 1207-1225 is available at https://dx.doi.org/10.3934/era.2020066
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