Multi-Monte Carlo method for particle coagulation: description and validation

In the interest of decreasing computation cost and increasing computation precision of Monte Carlo method for general dynamics equation (GDE), a new multi-Monte Carlo (MMC) method for particle coagulation is prompted, which has characteristic of time-driven, constant-number and constant-volume Monte Carlo technique. The paper has described detailedly the scheme of MMC method, including the setting of time step, the choice of coagulation partner, the judgment the occurrence of coagulation event, and the consequential treatment of particle coagulation event. MMC method is validated by five special coagulation cases: (1) constant coagulation kernel of monodisperse particles; (2) constant coagulation kernel of exponential polydisperse particle distribution; (3) linear coagulation kernel of exponential polydisperse particle distribution; (4) quadratic coagulation kernel of exponential polydisperse particle distribution; (5) Brownian coagulation kernel of log-normal polydisperse particles in the continuum regime. The simulation results of MMC method for GDE agree with analytical solution well, and its computation cost is low enough to apply engineering computation and general scientific quantitative analysis.