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manuscript No. (will be inserted by the editor)

Summary: manuscript No.
(will be inserted by the editor)
Closure Relations for Shallow Granular Flows from Particle Simulations
Thomas Weinhart1,2 Anthony Thornton1,2, Stefan Luding1 Onno Bokhove2
Received: date / Accepted: date
Abstract The Discrete Particle Method (DPM) is used to
model granular flows down an inclined chute. We observe
three major regimes: static piles, steady uniform flows and
accelerating flows. For flows over a smooth base, other (quasi-
steady) regimes are observed where the flow is either highly
energetic and strongly layered in depth for small inclina-
tions, or non-uniform and oscillating for larger inclinations.
For steady uniform flows, depth profiles of density, ve-
locity and stress have been obtained using an improved coarse-
graining method, which allows accurate statistics even at the
base of the flow. A shallow-layer model for granular flows is
completed with macro-scale closure relations obtained from
micro-scale DPM simulations of steady flows. We thus ob-
tain relations for the effective basal friction, shape factor,
mean density, and the normal stress anisotropy as functions


Source: Al Hanbali, Ahmad - Department of Applied Mathematics, Universiteit Twente


Collections: Engineering