Modelling and Fast Numerical Methods for Granular Flows

  • E. Ferrari
  • G. Naldi
  • G. Toscani
Part of the IFIP International Federation for Information Processing book series (IFIPAICT, volume 202)


In this work we discuss the development of fast algorithms for the inelastic Boltzmann equation describing the collisional motion of a granular gas. In such systems the collisions between particles occur in an inelastic way and are characterized by a coefficient of restitution which in the general case depends on the relative velocity of the collision. In the quasi-elastic approximation the granular operator is replaced by the sum of an elastic Boltzmann operator and a nonlinear friction term. Fast numerical methods based on a suitable spectral representation of the approximated model are then presented.


Inelastic Boltzmann equation Spectral methods Granular gases Fast algorithms 


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Copyright information

© International Federation for Information Processing 2006

Authors and Affiliations

  • E. Ferrari
    • 1
  • G. Naldi
    • 2
  • G. Toscani
    • 3
  1. 1.Department of MathematicsUniversity of FerraraFerraraItaly
  2. 2.Department of MathematicsUniversity of MilanMilanItaly
  3. 3.Department of MathematicsUniversity of PaviaPaviaItaly

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