Variational formulation of sandpile dynamics

T. Elperin, A. Vikhansky

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


Principle of stationary action was applied to derive a system of governing equations and boundary conditions describing dynamics of sandpile avalanches. The derived general system of equations for the sandpile dynamics is demonstrated to include equations of flow of granular material down a rigid wedge as a particular case. It is shown that the variational principle can be readily implemented in a numerical algorithm.

Original languageEnglish
Pages (from-to)4536-4543
Number of pages8
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Issue number5
StatePublished - 1 Jan 1996

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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