Multiphase Framework
In mathematical terms, there are two main frameworks in the formulation of the multiphase models in Simcenter STAR-CCM+, the Eulerian and Lagrangian modeling strategies.
Eulerian Approach
The Eulerian formulation specifies
distinct phases, where the flow field is considered to be continuous, passing
through a fixed volume on a computational mesh. For each cell of the computational
mesh, the transport equations of mass and other variables are solved. This framework
is applicable to the following models:
- Dispersed Multiphase (DMP)
- Eulerian Multiphase (EMP)
- Fluid Film
- Mixture Multiphase (MMP)
- Two-Phase Thermodynamic Equilibrium
- Volume of Fluid (VOF) Multiphase
These models use different approaches to
compute the slip between phases and apply to different flow regimes.
- Flow Regimes
- The models can assume that one phase is dispersed in another as droplet or bubbles or that phases are immiscible so that a resolved free surface forms between them
- Phase Slip
- The models can solve independent transport equations for each phase, thereby yielding independent velocity fields for each phase. When solving common transport equations for the phases, the velocity difference, also called the slip velocity, between phases can be modeled algebraically or assumed to be zero.

Lagrangian Approach
The Lagrangian models solve the phases as
discrete parcels, each representing multiple droplets or particles. The Lagrangian
framework solves the equations of motion for each of these parcels to determine
their trajectory and it tracks the parcels as they move through space and time. The
Lagrangian modeling strategies in Simcenter STAR-CCM+ are
based on shape, volume loading, and contact/collision, applicable to the following
models:
- Lagrangian Multiphase (LMP)—is suitable for volume loadings of less than 10%. The model can account for non-sphericity through modification of drag laws, but specific shapes are not considered. It is suitable for modeling sprays where droplet collision and breakup can be modeled.
- Discrete Element Method (DEM)—accounts for any arbitrary shape of the particles. The model is suitable for densely packed or fluidized material. It accounts for contact modeling, including the effects of particle shape, in case of large and dense distributions of particles.

Each multiphase model has different assumptions and regime applicability.