Long time simulations of granular hydrodynamics : instabilities and attractors

Details Long time simulations of granular hydrodynamics : instabilities and attractors Long time simulations of granular hydrodynamics : instabilities and attractors

2004-06-23

arxiv.org/abs/cond-mat/0406572v1

Physics

Condensed Matter

Soft Condensed Matter

18 figures

Scientific paper

Using a hydrodyamic model of granular flows, we present very long time simulations of a granular fluid in two dimensions without gravity and with periodic boundary conditions in a square domain. Depending upon the values of the viscosity, thermal conductivity and dissipation, we find for intermediate times a metastable clustering state. For longer times the system is attracted to either a shear band or a vortex state. Our results are in general agreement with molecular dynamics simulations.

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