Finite-volume scheme standard

All of the finite-volume schemes discussed above can be written in the standard flux form ... 

The finite volume methods have been used to discretised the partial differential equations of the model using the Simple method for pressure-velocity coupling and the second order upwind scheme to interpolate the variables on the surface of the control volume. The segregated solution algorithm was selected. The Reynolds stress turbulence model was used in this model due to the anisotropic nature of the turbulence in cyclones. Standard fluent wall functions were applied and high order discretisation schemes were also used. 

Filbet and Laurengot [58] developed a particular finite volume method (FVM) scheme for dicretizing the Smoluchowski equation for purely coalescing systems. For the application of the FVM they established a continuous flux form of the PBE coalescence source terms. The FVM thus ensures that the poly-disperse particle fluxes between the individual sections are conserved in the system. This approach deviates from the conventional sectional methods which are applied to the standard discrete form of the PBE source terms. Kumar et al. [113] adapted the FVM scheme for solving the transformed coalescence source terms to pure breakage and simultaneous breakage and coalescence systems. 

---