Numerical Simulation of Uniaxial Compression of a Granular Material with Wall Friction

Computations of uniaxial compression of a granular material in a two-dimensional box (with the top plate moving downward) are presented, including the effects of wall friction. The granular flow equations are solved as a system of conservation laws plus a set of constitutive relations, using a conse...

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Bibliographic Details
Published in:SIAM journal on applied mathematics 1994-12, Vol.54 (6), p.1676-1692
Main Authors: Gardner, Carl L., Schaeffer, David G.
Format: Article
Language:English
Subjects:
Applied mathematics
Boundary conditions
Boundary layers
Coefficient of friction
Computational techniques
Conservation laws
Constitutive equations
Cross-disciplinary physics: materials science
rheology
Deformation
material flow
Exact sciences and technology
Finite-difference methods
Flow equations
Flow velocity
Fluid dynamics
Friction
Fundamental areas of phenomenology (including applications)
Granular materials
Interfacial and free surface flows
slip
Mathematical methods in physics
Non-newtonian fluid flows
Physics
Powder metallurgy
Rheology
Simulation
Uniform flow
Velocity
Velocity distribution
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Summary:Computations of uniaxial compression of a granular material in a two-dimensional box (with the top plate moving downward) are presented, including the effects of wall friction. The granular flow equations are solved as a system of conservation laws plus a set of constitutive relations, using a conservative finite difference method. A high quality numerical scheme for propagating the moving top plate is introduced. Compared to the overall uniform compression of the granular material, the effects of friction lead to a greater compression of the material near the top corners and to a lesser compression near the bottom corners of the 2D box. Two flow cells develop in the velocity field of the granular material. The dependence of the flow on a set of dimensionless parameters is discussed. The evolution of a initially inhomogeneous density distribution is also simulated and analyzed.
ISSN:0036-1399
1095-712X
DOI:10.1137/S003613999325172X