A Multiple-Relaxation-Time Lattice Boltzmann Method With Beam-Warming Scheme For A Coupled Chemotaxis-Fluid Model

Zhonghua Qiao, Xuguang Yang

Research output: Journal article publicationJournal articleAcademic researchpeer-review

2 Citations (Scopus)

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 languageEnglish
Pages (from-to)1207-1225
Number of pages19
JournalElectronic Research Archive
Volume28
Issue number3
DOIs
Publication statusPublished - Sep 2020

Keywords

  • Beam-Warming Scheme
  • Chemotaxis Fluid Model
  • Lattice Boltzmann Method

ASJC Scopus subject areas

  • Mathematics(all)

Cite this