Mj. Andrews et Pj. Orourke, THE MULTIPHASE PARTICLE-IN-CELL (MP-PIC) METHOD FOR DENSE PARTICULATEFLOWS, International journal of multiphase flow, 22(2), 1996, pp. 379-402
A multiphase particle-in-cell (MP-PIC) method has been developed. This
numerical technique draws upon the best of Eulerian/Eulerian continuu
m models and Eulerian/Lagrangian discrete models. The MP-PIC method us
es an accurate mapping from Lagrangian particles to and from a computa
tional grid. While on the grid, continuum derivative terms that treat
the particle phase as a fluid are readily evaluated and then mapped ba
ck to individual particles. The result of this procedure is a computat
ional technique for multiphase Rows that can handle particulate loadin
g ranging from dense to dilute, a distribution of particle sizes and a
range of particle materials. The dense particulate model represents s
eparated flows of particles and includes drag exerted by a gas phase,
inter-particle stresses, particle viscous stresses and gas pressure gr
adients. Six problems are presented to demonstrate the MP-PIC method.
This MP-PIC method has important applications in fluidized beds (combu
stion, catalytic cracking), sedimentation, separation and many other g
ranular flows.