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Mechanisms of Cluster Formation in Force-Free GranularGases

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 isstudied by means of granular hydrodynamics. We numerically solve the hydrodynamicequations and analyze the mechanisms of cluster formation. According to our findings, thepresently accepted mode-enslaving mechanism may not be responsible for the latterphenomenon. On the contrary, we observe that the cluster formation is mainly driven byshock-waves, which spontaneously originate and develop in the system. This agrees with apreviously suggested mechanism of formation of density singularities in one-dimensionalgranular 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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