A Parallel Method for Population Balance Equations Based on the Method of Characteristics

TL;DR

This paper introduces a parallel computational scheme for solving population balance equations by transforming them into lower-dimensional equations using the method of characteristics, enhancing efficiency and accuracy.

Contribution

The paper proposes a novel parallel method combining the method of characteristics with finite element discretization for population balance equations.

Findings

Demonstrates improved computational efficiency

Shows high accuracy in numerical results

Validates the parallel scheme's effectiveness

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.