A Numerical Model for Sandpile Growth on Open Tables with Walls

Stefano Finzi Vita


We present a finite-difference scheme for the dynamics of a growing sandpile on an open flat table when (infinite) vertical walls are present on part of the boundary. This approach generalizes the one studied in Ref. 1 for the numerical resolution of the double-layers model of Hadeler and Kuttler in the case of the totally open table problem. The presence of walls strongly affects the equilibrium solutions for this model, whose characterization has been studied in Ref. 3, introducing singularities which propagate from the extreme points of the walls. The experiments show that the scheme is sufficiently able to detect the development of such singularities.

[DOI: 10.1685 / CSC06081] About DOI

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DOI: https://doi.org/10.1685/

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