Exact Solutions of a Model for Granular Avalanches

Abstract

We present exact solutions of the non-linear {\sc bcre} model for granular avalanches without diffusion. We assume a generic sandpile profile consisting of two regions of constant but different slope. Our solution is constructed in terms of characteristic curves from which several novel predictions for experiments on avalanches are deduced: Analytical results are given for the shock condition, shock coordinates, universal quantities at the shock, slope relaxation at large times, velocities of the active region and of the sandpile profile.

7 pages, 2 figures

References in corpus (2)

• Thick surface flows of granular materials: The effect of the velocity profile on the avalanche amplitude
• A model for ripple instabilities in granular media

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