Cl. Gardner et Dg. Schaeffer, NUMERICAL-SIMULATION OF UNIAXIAL COMPRESSION OF A GRANULAR MATERIAL WITH WALL FRICTION, SIAM journal on applied mathematics, 54(6), 1994, pp. 1676-1692
Computations of uniaxial compression of a granular material in a two-d
imensional box (with the top plate moving downward) are presented, inc
luding the effects of wall friction. The granular flow equations are s
olved as a system of conservation laws plus a set of constitutive rela
tions, using a conservative finite difference method. A high quality n
umerical scheme for propagating the moving top plate is introduced. Co
mpared to the overall uniform compression of the granular material, th
e effects of friction lead to a greater compression of the material ne
ar 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 gr
anular material. The dependence of the flow on a set of dimensionless
parameters is discussed. The evolution of a initially inhomogeneous de
nsity distribution is also simulated and analyzed.