In this paper, we present a parallel scheme to solve the population balance equations based on the method of characteristics and the finite element discretization. The application of the method of characteristics transform the higher dimensional population balance equation into a series of lower dimensional convection-diffusion-reaction equations which can be solved in a parallel way. Some numerical results are presented to show the accuracy and efficiency.
@article{702940,
title = {A parallel method for population balance equations based on the method of characteristics},
booktitle = {Applications of Mathematics 2013},
series = {GDML\_Books},
publisher = {Institute of Mathematics AS CR},
address = {Prague},
year = {2013},
pages = {140-149},
mrnumber = {MR3204439},
zbl = {1340.65206},
url = {http://dml.mathdoc.fr/item/702940}
}
Li, Yu; Lin, Qun; Xie, Hehu. A parallel method for population balance equations based on the method of characteristics, dans Applications of Mathematics 2013, GDML_Books, (2013), pp. 140-149. http://gdmltest.u-ga.fr/item/702940/