Numerical simulations of a minimal model for the fluid dynamics of dense bacterial suspensions

2nd International Conference on Mathematical Modeling in Physical Sciences 2013

物理学;数学

Heidenreich, Sebastian^1 ; Klapp, Sabine H L^2 ; Bär, Markus^1

Department of Mathematical Modelling and Data Analysis, Physikalisch-Technische Bundesanstalt, Abbestr. 2-12, 10587 Berlin, Germany^1

Institute for Theoretical Physics, Technische Universität Berlin, Hardenbergstr. 36, 10623 Berlin, Germany^2

关键词: Bacillus Subtilis;    Bacterial suspensions;    Collective behavior;    Continuum equation;    Fascinating phenomena;    Numerical solution;    Operator splitting method;    Spatial dimension;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/490/1/012126/pdf
DOI  :  10.1088/1742-6596/490/1/012126

来源: IOP

【 摘 要 】

Collective behavior is a fascinating phenomenon and ubiquitous in nature. A large variety of complex dynamic structures from swarming to turbulence arise in active particle systems. In recent investigations a set of minimal continuum equations was proposed to model mesoscale bacterial turbulence. Numerical solutions are validated with experimental data of Bacillus subtilis bacteria. In this short paper we present a recently used pseudo-spectral operator splitting method that directly solves the nonlinear equations in the turbulent regime. In two and three spatial dimensions we show the resulting typical velocity and vorticity fields as well as energy spectra to highlight the strong difference between turbulence in ordinary fluids and in bacterial suspensions.