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Mechanisms of Cluster Formation in Force-Free Granular Gases

Published online by Cambridge University Press:  18 July 2011

C. Salueña ,
L. Almazán  and
N. V. Brilliantov
C. Salueña
Affiliation:
Department of Mechanical Engineering, Universitat Rovira i Virgili, E-43007 Tarragona, Spain
L. Almazán
Affiliation:
Department of Mechanical Engineering, Universitat Rovira i Virgili, E-43007 Tarragona, Spain Centre de Recerca Matemàtica, 08193 Bellaterra, Spain
N. V. Brilliantov*
Affiliation:
Department of Mathematics University of Leicester, Leicester LE1 7RH, UK
*
⋆ Corresponding author. E-mail: nb144@leicester.ac.uk
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Abstract

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.

Keywords

granular gascluster instabilityhydrodynamicsnumerical simulations
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 6 , Issue 4: Granular hydrodynamics , 2011 , pp. 175 - 190
Copyright
© EDP Sciences, 2011

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