Mechanisms of cluster formation in force-free granular gases

C. Salueña, L. Almazán, N. V. Brilliantov

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1 Citation (Scopus)


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.

Original languageEnglish
Pages (from-to)175-190
Number of pages16
JournalMathematical Modelling of Natural Phenomena
Issue number4
Publication statusPublished - Jan 2011
Externally publishedYes


  • cluster instability
  • granular gas
  • hydrodynamics
  • numerical simulations


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