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Dynamics of avalanches along general mountain slopes

Pudasaini, Shiva Prasad and Wang, Yongqi and Hutter, Kolumban :
Dynamics of avalanches along general mountain slopes.
In: Annals of Glaciology, 38 (1) pp. 357-362. ISSN 1727-5644
[Article] , (2004)

Abstract

A continuum dynamical hydraulic model for the flow of a finite mass of cohesionless shallow granular material down an inclined plane was proposed by Savage and Hutter (SH) in 1989. This model consists of depth-averaged equations for the time and space evolution of the velocity profile and the avalanche depth. Their model was generalized to incorporate more complicated topography in which the coordinate lines in the downhill direction are curved but not twisted. We present recently developed model equations by Pudasaini and Hutter for free-surface geophysical gravity-driven flows (e.g.avalanches, debris and pyroclastic flows) down complicated realistic mountain terrain generated by arbitrary space curves with slowly varying curvature and torsion. These are very important extensions to the successful SH theory, which incorporate curvature and torsion effects of the sliding surface. Shock-capturing numerical schemes are used to integrate the hyperbolic conservation system of equations. The physical significance of the numerical solutions is discussed.

Item Type: Article
Erschienen: 2004
Creators: Pudasaini, Shiva Prasad and Wang, Yongqi and Hutter, Kolumban
Title: Dynamics of avalanches along general mountain slopes
Language: English
Abstract:

A continuum dynamical hydraulic model for the flow of a finite mass of cohesionless shallow granular material down an inclined plane was proposed by Savage and Hutter (SH) in 1989. This model consists of depth-averaged equations for the time and space evolution of the velocity profile and the avalanche depth. Their model was generalized to incorporate more complicated topography in which the coordinate lines in the downhill direction are curved but not twisted. We present recently developed model equations by Pudasaini and Hutter for free-surface geophysical gravity-driven flows (e.g.avalanches, debris and pyroclastic flows) down complicated realistic mountain terrain generated by arbitrary space curves with slowly varying curvature and torsion. These are very important extensions to the successful SH theory, which incorporate curvature and torsion effects of the sliding surface. Shock-capturing numerical schemes are used to integrate the hyperbolic conservation system of equations. The physical significance of the numerical solutions is discussed.

Journal or Publication Title: Annals of Glaciology
Volume: 38
Number: 1
Publisher: International Glaciological Society
Divisions: Study Areas
16 Department of Mechanical Engineering
16 Department of Mechanical Engineering > Fluid Dynamics (fdy)
Study Areas > Study Area Mechanic
Date Deposited: 23 Aug 2011 14:58
DOI: 10.3189/172756404781815338
Additional Information:

DOI: 10.3189/172756404781815338

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