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 language | English (US) |
|---|---|
| Pages (from-to) | 1676-1692 |
| Number of pages | 17 |
| Journal | SIAM Journal on Applied Mathematics |
| Volume | 54 |
| Issue number | 6 |
| DOIs | |
| State | Published - 1994 |
| Externally published | Yes |
ASJC Scopus subject areas
- Applied Mathematics