of the Scuola Normale Superiore / CRM Series. Furthermore, it has been found that the technique is quite general and yields excellent predictions in all cases. Asymptotics in Dynamics, Geometry and PDEs Generalized Borel Summation: Proceedings of the conference held in CRM Pisa, 12-16 October 2009, Vol. Therefore, a new strategy involving selective refinement of a relatively coarse grid while keeping the number of sections to a minimum, is demonstrated for one particular case. However, a simple analysis of the aggregation process shows that significant errors are introduced due to steeply varying number densities across a size range. Existing approaches employ successively fine grids to improve the accuracy of the numerical results. The technique presented here is applicable to binary or multiple breakage, aggregation, simultaneous breakage and aggregation, and can be adapted to predict the desired properties of an evolving size distribution more precisely.
This blazing fast particle engine lets you work and render with millions of particles and its advanced tool-set gives you full access to everything you need to create the shot you require. Particulate events leading to the formation of particle sizes other than the representative sizes are incorporated in the set of discrete equations such that properties corresponding to two moments of interest are exactly preserved. X-Particles is a fully-featured, advanced particle simulation and rendering environment for MAXON’S Cinema 4D software. It considers particle populations in discrete and contiguous size ranges to be concentrated at representative volumes. Based on this framework, a numerical technique has been developed. It proposes that the discrete equations for aggregation or breakage processes be internally consistent with regard to the desired moments of the distribution. A new framework for the discretization of continuous population balance equations (PBEs) is presented in this work.