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.
Original language | English |
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Pages (from-to) | 1207-1225 |
Number of pages | 19 |
Journal | Electronic Research Archive |
Volume | 28 |
Issue number | 3 |
DOIs | |
Publication status | Published - Sept 2020 |
Keywords
- Beam-Warming Scheme
- Chemotaxis Fluid Model
- Lattice Boltzmann Method
ASJC Scopus subject areas
- General Mathematics