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http://hdl.handle.net/10397/90515
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 |
Appears in Collections: | Journal/Magazine Article |
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File | Description | Size | Format | |
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2248_manuscript_V5.pdf | Pre-Published version | 1.05 MB | Adobe PDF | View/Open |
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