The Macroscopic Particle Model (MPM) is a UDF-based quasi-direct numerical approach for tracking macroscopic particles [491]. The MPM is applicable to Lagrangian particulate flows that cannot be solved using conventional point-mass particle models. In such flows, the particle size cannot be neglected. In these situations, particle volume must be considered when modeling hydrodynamics and wall effects.
The MPM model provides a special treatment that accounts for the following:
Flow blockage and momentum exchange
Calculation of drag and torque on particles
Particle-particle and particle-wall collision, and friction dynamics
Particle deposition and buildup
Particle-particle and particle-wall attraction forces
In the MPM approach [8], each macroscopic particle spans several computational cells. Each particle is represented by a sphere with six degrees of freedom to account for the particle translational and rotational motion. The particle is injected in the flow domain at the beginning of a flow time step. The particle is assumed to be touching a computational cell during the time step if one or more nodes of the cell are located inside the particle volume. Each particle transport equation is solved in a Lagrangian reference frame.