Fast Monte Carlo methodology for multivariate particulate systems—I: Point ensemble Monte Carlo

Global and Dynamic Optimization using the Artificial Chemical Process Paradigm and Fast Monte Carlo Methods for the Solution of Population Balance Models

“…Several optimization approaches have been developed to increase the MC simulation speed. The point ensemble Monte Carlo (PEMC) algorithm and the τ−PEMC algorithm developed in 2007 (Irizarry, 2007a;Irizarry, 2007b) are approximated MC methods that increase simulation speed by orders of magnitude when compared with existing MC methods. Population balance models can be formulated as discrete events Markov processes (also known as a jump Markov process).…”

Stochastic Simulation of Droplet Interactions in Suspension Polymerization of Vinyl Chloride

“…These are referred to as "timedriven" and "event-driven" MC [10]. Here we used an eventdriven MC method as follows.…”

“…Irizzary [9,10] also presented a case in which there were chemical reactions in the dispersed phase. However, Irizarry assumed instantaneous chemical reaction in the droplets while in polymerization reactions take hours but are highly exothermic thus in droplets should be taken the heat effects into consideration.…”

“…Therefore, the properties of the end-use polymer might be not uniform. In the other case, first the monomer and water are filled into the reactor, the suspension is heated to the polymerization temperature and thereafter the initiator is 59 (2) 10., H-8200 Veszprém, Hungary added to the suspension. The advantage of this method is that the polymerization reactions occur under isothermal conditions and the properties of the end-use polymer usually are uniform.…”

Graphical processing unit (GPU) acceleration for numerical solution of population balance models using high resolution finite volume algorithm

“…The combined quadrature method of moments -method of characteristics was a successful technique to solve full 1D PBE-s with nucleation and growth only (Aamir et al, 2009. The Monte Carlo simulations were successfully applied to solve PBE-s as well (Bárkányi et al, 2013;Irizarry, 2008;Smith and Matsoukas, 1988) but the computational costs are far too increased to be applicable in the majority of engineering problems. The method of classes is based on the discretization of internal variables but for the more complicated PBEs a large number of classes is required to maintain the accuracy (Valentas and Amundson, 1966).…”