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Bubbles and solid structures in a vibrated bed of granular materials

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  • Zamankhan, Piroz

Abstract

Modern graphics processing units (GPUs) are able to perform high-precision simulations for scientific applications. As a demonstration example, large-scale, three-dimensional computer simulations were performed on a single GPU to produce bubbles and solid structures in a tiny, annular container, partially filled with a granular material, shaken vertically. The dynamics of the gas above and within the shaken granular material was solved using large-eddy simulations (LES) while the grains were treated with molecular dynamics. A feature of the results is that bubbles form when peak acceleration relative to gravity exceeds a critical value Γb. This is in qualitative agreement with experiments [H.P. Pak, P.R. Behringer, Nature 371 (1994) 231]. An interesting finding is that Γbfor glass particles depends primarily on the coefficient of friction,μ, as well as on the coefficients which characterize the viscoelastic response of the granular material.

Suggested Citation

  • Zamankhan, Piroz, 2011. "Bubbles and solid structures in a vibrated bed of granular materials," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(8), pages 1402-1416.
    • Handle: RePEc:eee:phsmap:v:390:y:2011:i:8:p:1402-1416
    DOI: 10.1016/j.physa.2010.11.039
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    References listed on IDEAS

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    1. He, Ji-Huan, 2006. "Application of E-infinity theory to turbulence," Chaos, Solitons & Fractals, Elsevier, vol. 30(2), pages 506-511.
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