Using Moving Finite Elements Method to solve Population Balance Equations comprising breakage terms

摘要

This paper introduces a Moving Finite Elements Method (MFEM) based on cubic Hermite polynomial local approximations to handle Population Balance Equations (PBE) modeling breakage phenomena. The adequacy and performance of the MFEM framework are tested in two case studies involving breakage: a benchmark problem with known analytical solution and the hydrolysis of starch. Both examples emphasize the stability and accuracy of MFEM in handling PBE models, thus proving its suitability for this kind of problem.