Simulation of 3d granular dissipative gas
under different kinds of excitations & with different number of balls N .

Results 1 to 18:

R. Liu, M. Hou, P. Evesque, Lab MSSMat, UMR 8579
CNRS, Ecole Centrale Paris, 92295 CHATENAY-MALABRY, France, e-mail: pierre.evesque@ecp.fr

**Abstract: **This
group of papers publishes a series of simulations on the dynamics of N
equal-size spheres (D=1)
in a 3d rectangular cell (L_{x}=20D, L_{y}=20D, L_{z}=60D) excited along z in 0 gravity.(N=100,
500, 1000, 1200, 2000, 3000, 4000, 4500). Different Oz excitation kinds have been used
(symmetric and non symmetric bi-parabolic, symmetric and non symmetric saw
teeth, thermal wall). No rotation is included, dissipation is
introduced via a restitution coefficient *e=*
-V’_{n}/V_{n} , where V’_{n} and V_{n}_{ }are the relative ball speed along
normal to ball centres after and before collision. The papers are organised as
follow : # 1,3,5,7,9,11,13 deal respectively with the number density
distribution(1,2), V_{z} distribution (3,4), V_{x} (5,6), local V_{z}
mean (7,8) in ± z directions, local sum of V_{z}
(9,10), local T^{±}(z) in ±z directions, local P_{z}^{±}(z)
in ±z directions, under bi-parabolic excitation (under sawteeth
excitation). Booklet # 15-18, concern thermal excitation; #15 concerns V_{z}_{ }and V_{x}
distribution at different z; local V_{z} Mean
and local sum of V_{z} (flow) are published
in #16; #17 concerns T^{±}(z) (i.e. local mean of V^{±}_{z}²)
and P^{±}(z) (i.e. local sum of
V^{±}_{z}²), and #18 the n_{z}
distribution.

The simulations start at a given
time from a random state which does not correspond to steady state. Curves are
given after different laps of time, so that evolution to steady state can be
determined. It occurs that few of these simulations (those with larger number
of spheres) are not yet reaching the steady state even at the end of
simulation.

Pacs # : 5.40 ;
45.70 ; 62.20 ; 83.70.Fn

*poudres**
& grains *17
(1-18), 1-561 (Juillet 2009)