| Issue |
Math. Model. Nat. Phenom.
Volume 6, Number 4, 2011
Granular hydrodynamics
|
|
|---|---|---|
| Page(s) | 175 - 190 | |
| DOI | https://doi.org/10.1051/mmnp/20127108 | |
| Published online | 18 July 2011 | |
Mechanisms of Cluster Formation in Force-Free Granular Gases
1
Department of Mechanical Engineering, Universitat Rovira i
Virgili, E-43007
Tarragona,
Spain
2
Centre de Recerca Matemàtica, 08193
Bellaterra,
Spain
3
Department of Mathematics University of Leicester,
Leicester
LE1 7RH,
UK
⋆
Corresponding author. E-mail: nb144@leicester.ac.uk
The evolution of a force-free granular gas with a constant restitution coefficient is studied by means of granular hydrodynamics. We numerically solve the hydrodynamic equations and analyze the mechanisms of cluster formation. According to our findings, the presently accepted mode-enslaving mechanism may not be responsible for the latter phenomenon. On the contrary, we observe that the cluster formation is mainly driven by shock-waves, which spontaneously originate and develop in the system. This agrees with a previously suggested mechanism of formation of density singularities in one-dimensional granular gases.
Mathematics Subject Classification: 35Q35
Key words: granular gas / cluster instability / hydrodynamics / numerical simulations
© EDP Sciences, 2011
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