Numerical simulation of uniaxial compression of a granular material with wall friction

Carl Gardner, David G. Schaeffer

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

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.

Original languageEnglish (US)
Pages (from-to)1676-1692
Number of pages17
JournalSIAM Journal on Applied Mathematics
Volume54
Issue number6
StatePublished - Dec 1994
Externally publishedYes

Fingerprint

Granular Materials
Granular materials
Friction
Compaction
Compression
Numerical Simulation
Computer simulation
Finite difference method
Granular Flow
Systems of Conservation Laws
Conservation
Constitutive Relations
Dimensionless
Numerical Scheme
Velocity Field
Difference Method
Finite Difference
Cell

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Numerical simulation of uniaxial compression of a granular material with wall friction. / Gardner, Carl; Schaeffer, David G.

In: SIAM Journal on Applied Mathematics, Vol. 54, No. 6, 12.1994, p. 1676-1692.

Research output: Contribution to journalArticle

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