Journal
MATHEMATICAL MODELLING OF NATURAL PHENOMENA
Volume 6, Issue 4, Pages 118-150Publisher
EDP SCIENCES S A
DOI: 10.1051/mmnp/20116406
Keywords
granular gas; hydrodynamics; long-range forces; numerical simulations
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Funding
- Deutsche Forschungsgemeinschaft (DFG)
- TUDelft
- Delft Centre for Computational Science and Engineering (DCSE)
- faculty of Engineering Technology and the research institute IMPACT of the University of Twente
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The interplay between dissipation and long-range repulsive/attractive forces in homogeneous, dilute, mono-disperse particle systems is studied. The pseudo-Liouville operator formalism, originally introduced for hard-sphere interactions, is modified such that it provides very good predictions for systems with weak long-range forces at low densities, with the ratio of potential to fluctuation kinetic energy as control parameter. By numerical simulations, the theoretical results are generalized with empirical, density dependent correction-functions up to moderate densities. The main result of this study on dissipative cooling is an analytical prediction for the reduced cooling rate due to repulsive forces and for the increased rate due to attractive forces. In the latter case, surprisingly, for intermediate densities, similar cooling behavior is observed as in systems without long-range interactions. In the attractive case, in general, dissipation leads to inhomogeneities earlier and faster than in the repulsive case.
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