Gas kinetic scheme for anisotropic Savage-Hutter model

Wen Chi Chen, Chih Yu Kuo, Keh Ming Shyue, Yih Chin Tai

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


The gas-kinetic scheme is applied to a depth-integrated continuum model for avalanche flows, namely the Savage-Hutter model. In this method, the continuum fluxes are calculated based on the pseudo particlemotions which are relaxed fromnonequilibriumto equilibriumstates. The processes are described by the Bhatnagar-Gross- Krook (BGK) equation. The benefit of this scheme is its capability to resolve shock discontinuities sharply and to handle the vacuum state without special treatments. Because the Savage-Hutter equation bears an anisotropic stress on the tangential space of the topography, the equilibrium distribution function of the microscopic particles are shown to be bi-Maxwellian. These anisotropic stresses are the key to preserve the coordinate objectivity in the Savage-Hutter model. The effect of the anisotropic stress is illustrated by two examples: an axisymmetric dambreak and a finitemass sliding on an inclined plane chute. It is found that the propagation of the flow fronts significantly depends on the orientation of the principal axes of the tangential stresses.

Original languageEnglish
Pages (from-to)1432-1454
Number of pages23
JournalCommunications in Computational Physics
Issue number5
Publication statusPublished - 2013 May

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)


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