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Porous Effects in the Description of the Dynamics of Granular Avalanches

Pudasaini, Shiva P. and Wang, Yongqi and Hutter, Kolumban
Gladwell, G. and Huyghe, J. M. and Raats, Peter and Cowin, Stephen (eds.) (2005):
Porous Effects in the Description of the Dynamics of Granular Avalanches.
In: IUTAM Symposium on Physicochemical and Electromechanical Interactions in Porous Media, Springer Netherlands, pp. 81-89, [Online-Edition: http://dx.doi.org/10.1007/1-4020-3865-8_8],
[Book Section]

Abstract

Granular mixtures are porous media of immense importance in geophysical and industrial applications. Snow avalanches, debris- and mud-flows, landslides and rockslides are examples of rapid flows of geomaterials whereas flows of fine granular materials in silos, hoppers, rotating drums and heap formations are examples from process engineering. In order to understand these phenomena properly, one needs physical-mathematical descriptions including appropriate constitutive relations and suitable numerical simulations. We present recently developed model equations by Pudasaini & Hutter for free gravity-driven flows of a single phase dry granular material down complicated real mountain terrains generated by arbitrary space curves with slowly varying curvature and torsion. These are very important extensions to the successful Savage-Hutter (SH) theory. Because of the density preserving assumption the effect of the porosity can only be accounted for in the closure statements. This is done here and its consequences are illustrated. Shock-capturing numerical schemes are used to integrate the model hyperbolic conservation system of equations in order to control spurious jumps in the mapping of the descending masses. The physical significance of the numerical simulations is discussed.

Item Type: Book Section
Erschienen: 2005
Editors: Gladwell, G. and Huyghe, J. M. and Raats, Peter and Cowin, Stephen
Creators: Pudasaini, Shiva P. and Wang, Yongqi and Hutter, Kolumban
Title: Porous Effects in the Description of the Dynamics of Granular Avalanches
Language: English
Abstract:

Granular mixtures are porous media of immense importance in geophysical and industrial applications. Snow avalanches, debris- and mud-flows, landslides and rockslides are examples of rapid flows of geomaterials whereas flows of fine granular materials in silos, hoppers, rotating drums and heap formations are examples from process engineering. In order to understand these phenomena properly, one needs physical-mathematical descriptions including appropriate constitutive relations and suitable numerical simulations. We present recently developed model equations by Pudasaini & Hutter for free gravity-driven flows of a single phase dry granular material down complicated real mountain terrains generated by arbitrary space curves with slowly varying curvature and torsion. These are very important extensions to the successful Savage-Hutter (SH) theory. Because of the density preserving assumption the effect of the porosity can only be accounted for in the closure statements. This is done here and its consequences are illustrated. Shock-capturing numerical schemes are used to integrate the model hyperbolic conservation system of equations in order to control spurious jumps in the mapping of the descending masses. The physical significance of the numerical simulations is discussed.

Title of Book: IUTAM Symposium on Physicochemical and Electromechanical Interactions in Porous Media
Series Name: Solid Mechanics and Its Applications
Volume: 125
Publisher: Springer Netherlands
ISBN: 978-1-4020-3865-5
Uncontrolled Keywords: Engineering
Divisions: 16 Department of Mechanical Engineering > Fluid Dynamics (fdy)
16 Department of Mechanical Engineering
Date Deposited: 01 Sep 2011 11:12
Official URL: http://dx.doi.org/10.1007/1-4020-3865-8_8
Additional Information:

dio: 10.1007/1-4020-3865-8_8

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