A Majorant Kernel-Based Monte Carlo Method for Particle Population Balance Modeling

Abstract

A computationally efficient Monte Carlo method using majorant kernel scheme for particle coagulation is presented in this note. The key is to use majorant kernel in the evaluation of the maximum coagulation rate, which is computationally time consuming, in hope of reducing the computational cost. The proposed scheme is verified by means of a deterministic sectional method for Brownian collision kernel. The computational efficiency of the scheme proposed has also been measured by comparing with sectional method and Monte Carlo methods using other schemes.

Coupling Eulerian‐Lagrangian method of air‐particle two‐phase flow with population balance equations to simulate the evolution of vehicle exhaust plume

“…(i) The coupling of the Eulerian‐Eulerian model and PBE has been used by many researchers over the last decade to simulate polydispersed flow systems –. The particle phase equations can be solved under the Eulerian framework (except the Monte Carlo method, which is used to solve PBE). The coupling algorithm is simpler and requires relatively fewer calculations.…”