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A hierarchy of avalanche models on arbitrary topography

Luca, I. ; Hutter, K. ; Tai, Y. ; Kuo, C.

In: Acta Mechanica, 2009, vol. 205, no. 1-4, p. 121-149

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    Titre
    • A hierarchy of avalanche models on arbitrary topography
    Auteur
    • Luca, I.. Division of Mechanics, Research Center for Applied Sciences, Academia Sinica, 11529, Nangang, Taipei, Taiwan
    • Hutter, K.. Division of Mechanics, Research Center for Applied Sciences, Academia Sinica, 11529, Nangang, Taipei, Taiwan
    • Tai, Y.. Department of Civil Engineering, National Chi Nan University, No. 1, University Road, 545, Puli, Nantou, Taiwan
    • Kuo, C.. Division of Mechanics, Research Center for Applied Sciences, Academia Sinica, 11529, Nangang, Taipei, Taiwan
    Type de document
    • Postprint
    Classification
    • Technologie, Sciences de l'ingénieur
    Identifiant OAI-PMH
    • oai:doc.rero.ch:315583
    Summary
    We use the non-Cartesian, topography-based equations of mass and momentum balance for gravity driven frictional flows of Luca etal. (Math. Mod. Meth. Appl. Sci. 19, 127-171 (2009)) to motivate a study on various approximations of avalanche models for single-phase granular materials. By introducing scaling approximations we develop a hierarchy of model equations which differ by degrees in shallowness, basal curvature, peculiarity of constitutive formulation (non-Newtonian viscous fluids, Savage-Hutter model) and velocity profile parametrization. An interesting result is that differences due to the constitutive behaviour are largely eliminated by scaling approximations. Emphasis is on avalanche flows; however, most equations presented here can be used in the dynamics of other thin films on arbitrary surfaces