TY - JOUR
T1 - Gas Kinetic Scheme for Anisotropic Savage-Hutter Model
AU - Wen-Chi Chen, Chih-Yu Kuo, Keh-Ming Shyue & Yih-Chin Tai
JO - Communications in Computational Physics
VL - 5
SP - 1432
EP - 1454
PY - 2013
DA - 2013/05
SN - 13
DO - http://doi.org/10.4208/cicp.190112.250512a
UR - https://global-sci.org/intro/article_detail/cicp/7281.html
KW - 
AB - <p style="text-align: justify;">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 particle motions which are relaxed from nonequilibrium to equilibrium states. 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 dam break and a finite mass 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.</p>