TY - JOUR
T1 - Closure relations for shallow granular flows from particle simulations
AU - Weinhart, Thomas
AU - Thornton, Anthony R.
AU - Luding, Stefan
AU - Bokhove, Onno
PY - 2012/7
Y1 - 2012/7
N2 - The discrete particle method (DPM) is used to model granular flows down an inclined chute with varying basal roughness, thickness and inclination. We observe three major regimes: arresting flows, steady uniform flows and accelerating flows. For flows over a smooth base, other (quasi-steady) regimes are observed: for small inclinations the flow can be highly energetic and strongly layered in depth; whereas, for large inclinations it can be non-uniform and oscillating. For steady uniform flows, depth profiles of density, velocity and stress are obtained using an improved coarse-graining method, which provides accurate statistics even at the base of the flow. A shallow-layer model for granular flows is completed with macro-scale closure relations obtained frommicro-scale DPM simulations of steady flows. We obtain functional relations for effective basal friction, velocity shape factor, mean density, and the normal stress anisotropy as functions of layer thickness, flow velocity and basal roughness.
AB - The discrete particle method (DPM) is used to model granular flows down an inclined chute with varying basal roughness, thickness and inclination. We observe three major regimes: arresting flows, steady uniform flows and accelerating flows. For flows over a smooth base, other (quasi-steady) regimes are observed: for small inclinations the flow can be highly energetic and strongly layered in depth; whereas, for large inclinations it can be non-uniform and oscillating. For steady uniform flows, depth profiles of density, velocity and stress are obtained using an improved coarse-graining method, which provides accurate statistics even at the base of the flow. A shallow-layer model for granular flows is completed with macro-scale closure relations obtained frommicro-scale DPM simulations of steady flows. We obtain functional relations for effective basal friction, velocity shape factor, mean density, and the normal stress anisotropy as functions of layer thickness, flow velocity and basal roughness.
KW - Depth-averaging
KW - Coarse graining
KW - Discrete particle method (DPM)
KW - Shallow-layer equations
KW - Granular chute flow
U2 - 10.1007/s10035-012-0355-y
DO - 10.1007/s10035-012-0355-y
M3 - Article
SN - 1434-5021
VL - 14
SP - 531
EP - 552
JO - Granular matter
JF - Granular matter
IS - 4
ER -