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

Carl L. Gardner, David G. Schaeffer

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


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
Issue number6
StatePublished - 1994
Externally publishedYes

ASJC Scopus subject areas

  • Applied Mathematics


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