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Phys. Rev. E 53, 4536–4543 (1996)

Variational formulation of sandpile dynamics

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T. Elperin* and A. Vikhansky
The Pearlstone Center for Aeronautical Engineering Studies, Department of Mechanical Engineering, Ben-Gurion University of the Negev, P.O. Box 653, Beer-Sheva 84105, Israel

Received 21 September 1995; published in the issue dated May 1996

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.

© 1996 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.53.4536
DOI:
10.1103/PhysRevE.53.4536
PACS:
05.40.+j, 46.10.+z, 05.60.+w, 83.70.Fn

*Electronic addresa: elperin@menix.bgu.ac.il