A hybrid particle-number and particle model for efficient solution of population balance equations

摘要: Abstract This work presents a hybrid particle-number and particle model to improve efficiency in solving population balance equations for type spaces spanning spherical aggregate particles. The tracks simpler, particles cheaply by storing only the number of with given one-dimensional internal coordinate, while allows resolution detailed structure that occurs due collision coagulation between distinct computational entries each particle. approach is exact if primary are defined their monomer count increments single monomers. A stochastic method used solve combined space. works well large ensembles ( > 2 12 particles) model, where performing finite updates demonstrated be 40–50% cheaper than updating an equivalent ensemble discrete These savings can traded larger sample volume increase size distribution or more repeat runs reduce total error. Run time improvements curtailed at very high surface growth rates fixed cost on aggregates formed; however, still attractive this case as its purpose error preventing saturation simple inception rates.