An alternative depth-integrated formulation for granular avalanches over temporally varying topography with small curvature

Yih Chin Tai, Chih Yu Kuo, Wai How Hui

研究成果: Article同行評審

15 引文 斯高帕斯(Scopus)

摘要

An alternative formulation is proposed for deriving depth-integrated equations for gravity-driven granular avalanches over a non-trivial topography with small curvature. The coordinate system of Bouchut and Westdickenberg (2004) is combined with the unified coordinate (UC) method, so that it can evolve in accordance with the entrainment-deposition processes at the basal surface. The resultant mass and momentum equations are formulated as a conservation system of the Cartesian components of the conservative physical variables. The motion of the flows is driven by the basal topography-induced pressure, pressure gradient, and resisted by the basal friction. The best benefit of this formulation is that it greatly simplifies the computation of the varying coordinate orientations. The features and advantages of this formulation are illustrated by the sliding-mass examples where we simulate the motion of a finite mass of granular material sliding down an inclined chute, running through a transition zone, and being deposited onto a horizontal plane.

原文English
頁(從 - 到)596-629
頁數34
期刊Geophysical and Astrophysical Fluid Dynamics
106
發行號6
DOIs
出版狀態Published - 2012 十二月

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Astronomy and Astrophysics
  • Geophysics
  • Mechanics of Materials
  • Geochemistry and Petrology

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