A new event-driven constant-volume method for solution of the time evolution of particle size distribution

Direct simulation Monte Carlo (DSMC) method is an important approach for numerical solution of the population balance equation, which characterizes the dynamic evolution of particle size distribution in dispersed systems. One sample of the whole system (i.e., subsystem) is taken into account in most DSMC methods. It means that a spatially-isotropic whole system is considered, and simulation particles having same number weight are tracked. A new event-driven constant-volume (EDCV) method for population balance modeling is proposed to describe the dynamic evolution in dispersed systems under influence of coagulation, breakage, nucleation, surface growth/dissolution (condensation/evaporation) and deposition (settling). The method adopts the concept of differentially weighting simulation particles, and several schemes of sample restoration are developed to maintain simulation particle number within prescribed bounds, at the same time the constant-volume computational domain is tracked. By comparing of several popular Monte Carlo methods, it is concluded that the proposed EDCV method exhibits comparatively high precision and efficiency.