Aa. Johnson et Te. Tezduyar, SIMULATION OF MULTIPLE SPHERES FALLING IN A LIQUID-FILLED TUBE, Computer methods in applied mechanics and engineering, 134(3-4), 1996, pp. 351-373
A new 3D finite element how simulation capability for fluid-particle i
nteractions is presented and applied to study time-dependent behavior
of multiple spheres falling in a liquid-filled tube. This capability i
s based on the flow simulation strategies such as stabilized space-tim
e formulation for moving boundaries and interfaces, automatic mesh gen
eration with structured layers of elements around the spheres, automat
ic mesh moving with remesh only as needed, and the implementation of t
hese strategies on massively parallel computing platforms. Several cas
es of multiple spheres falling in a liquid-filled tube are studied, wi
th the number of spheres ranging from two to five. In all cases, depen
ding on the number of spheres and their initial arrangement, a stable
state is eventually reached with all spheres arranged in a pattern cor
responding to that stable state, and with all of them falling with the
same terminal velocity.