Mechanisms of Cluster Formation in Force-Free Granular Gases

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

Mathematical Modelling of Natural Phenomena (2011)

  • Volume: 6, Issue: 4, page 175-190
  • ISSN: 0973-5348

Abstract

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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.

How to cite

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Salueña, C., Almazán, L., and Brilliantov, N. V.. "Mechanisms of Cluster Formation in Force-Free Granular Gases." Mathematical Modelling of Natural Phenomena 6.4 (2011): 175-190. <http://eudml.org/doc/222446>.

@article{Salueña2011,
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.},
author = {Salueña, C., Almazán, L., Brilliantov, N. V.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {granular gas; cluster instability; hydrodynamics; numerical simulations},
language = {eng},
month = {7},
number = {4},
pages = {175-190},
publisher = {EDP Sciences},
title = {Mechanisms of Cluster Formation in Force-Free Granular Gases},
url = {http://eudml.org/doc/222446},
volume = {6},
year = {2011},
}

TY - JOUR
AU - Salueña, C.
AU - Almazán, L.
AU - Brilliantov, N. V.
TI - Mechanisms of Cluster Formation in Force-Free Granular Gases
JO - Mathematical Modelling of Natural Phenomena
DA - 2011/7//
PB - EDP Sciences
VL - 6
IS - 4
SP - 175
EP - 190
AB - 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.
LA - eng
KW - granular gas; cluster instability; hydrodynamics; numerical simulations
UR - http://eudml.org/doc/222446
ER -

References

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