English

On Hydrodynamic Diffusion and Velocity Fluctuations in Two--Dimensional Simulations of Sedimentation

Condensed Matter 2016-08-31 v2

Abstract

We present a numerical method to deal efficiently with large numbers of particles in incompressible fluids. The interactions between particles and fluid are taken into account by a physically motivated ansatz based on locally defined drag forces. We demonstrate the validity of our approach by performing numerical simulations of sedimenting non-Brownian spheres in two spatial dimensions and compare our results with experiments. Our method reproduces essential aspects of the experimental findings, in particular the strong anisotropy of the hydrodynamic bulk self-diffusivities.

Keywords

Cite

@article{arxiv.cond-mat/9501128,
  title  = {On Hydrodynamic Diffusion and Velocity Fluctuations in Two--Dimensional Simulations of Sedimentation},
  author = {W. Kalthoff and S. Schwarzer and G. H. Ristow and H. J. Herrmann},
  journal= {arXiv preprint arXiv:cond-mat/9501128},
  year   = {2016}
}

Comments

17 pages, latex, epic.sty, eepic.sty required for figures, rawfonts.sty desirable but not essential, figures separately.