What is DEM?
DEM is a mathematical modeling technique that applied to communition
uses Newton's second law - kinematics - to calculate the position of each
elements - balls and ore particles of all sizes - as they are
affected by each other and in contact with liners, lifters and grates. The
first DEM models for milling were 2D and viewed the charge motion as a cross
sectional slice of the cylindrical mill. The models improved into 3 space
which included the effects of the cone shaped mill ends on particle motion.
Recent improvements, a visual example displayed to the right, have incorporated
other modeling methods such as computational fluid dynamics and discrete
grain
breakage.
High Fidelity Simulation is the term now used
to describe the combined modeling techniques.
DEM continued...
DEM is well suited for computer programming since the computations involve
solving the position formula
simultaneously for huge number of particles and one instance in time. These
vector based motion equations
use fixed parameters for particle shape, density, stiffness, friction.
Linear and rotational velocities of each
photo from Conveyor-Dynamics.com
sphere are calculated via numerical integration of Newton's
second law. The displacement of each sphere is calculated by a second integration.
The particles start at rest and then set in motion. The calculation is
performed for an initial t, then t +1, t+2, t+n.