A parallel method for population balance equations based on the method of characteristics

Li, Yu; Lin, Qun; Xie, Hehu

  • Applications of Mathematics 2013, Publisher: Institute of Mathematics AS CR(Prague), page 140-149

Abstract

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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.

How to cite

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Li, Yu, Lin, Qun, and Xie, Hehu. "A parallel method for population balance equations based on the method of characteristics." Applications of Mathematics 2013. Prague: Institute of Mathematics AS CR, 2013. 140-149. <http://eudml.org/doc/287827>.

@inProceedings{Li2013,
abstract = {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.},
author = {Li, Yu, Lin, Qun, Xie, Hehu},
booktitle = {Applications of Mathematics 2013},
keywords = {parallel numerical discretization; characteristics method; population balance equations},
location = {Prague},
pages = {140-149},
publisher = {Institute of Mathematics AS CR},
title = {A parallel method for population balance equations based on the method of characteristics},
url = {http://eudml.org/doc/287827},
year = {2013},
}

TY - CLSWK
AU - Li, Yu
AU - Lin, Qun
AU - Xie, Hehu
TI - A parallel method for population balance equations based on the method of characteristics
T2 - Applications of Mathematics 2013
PY - 2013
CY - Prague
PB - Institute of Mathematics AS CR
SP - 140
EP - 149
AB - 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.
KW - parallel numerical discretization; characteristics method; population balance equations
UR - http://eudml.org/doc/287827
ER -

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