Automatic differentiation-based quadrature method of moments for solving population balance equations

Vinay Kariwala, Yi Cao, Zoltan K. Nagy
2011 AIChE Journal  
This paper presents a variant Quadrature Method of Moments (QMOM) for the solution of dynamic Population Balance Models (PBMs) involv ing kinetic processes of nucleation, growth, aggregation and breakage. The method is based on orthogonal polynomials for calculating pairs of quadrature abscissas (points) and weights. For better accuracy of the method, a third order orthogonal polynomial is chosen to calculate the quadrature points and weights. Several numerical test cases for different
more » ... ons of processes are carried out. For validation, the numerical results are compared with analytical solutions and the finite-volume scheme results. In all test cases, the proposed method was found to be efficient and accurate.
doi:10.1002/aic.12613 fatcat:5tuck6g5urhunpfujyrpdyephi