New volume consistent approximation for binary breakage Population Balance Equation and its convergence analysis

Mehakpreet Singh, Themis Matsoukas, Ahmad B. Albadarin, Gavin Walker

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

This work is focused on developing a numerical approximation based on finite volume scheme to solve a binary breakage population balance equation (PBE). The mathematical convergence analysis of the proposed scheme is discussed in detail for different grids. The proposed scheme is mathematical simple and can be implemented easily on general grids. The numerical results and findings are validated against the existing scheme over different benchmark problems. All numerical predictions demonstrate that the proposed scheme is highly accurate and efficient as compared to the existing method. Moreover, the theoretical observations concerning order of convergence are verified with the numerical order of convergence which shows second order convergence irrespective of grid chosen for discretization. The proposed scheme will be the first ever numerical approximation for a binary breakage PBE free from that the particles are concentrated on the representative of the cell.

Original languageEnglish (US)
Pages (from-to)1695-1713
Number of pages19
JournalESAIM: Mathematical Modelling and Numerical Analysis
Volume53
Issue number5
DOIs
StatePublished - Sep 1 2019

All Science Journal Classification (ASJC) codes

  • Analysis
  • Numerical Analysis
  • Modeling and Simulation
  • Computational Mathematics
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'New volume consistent approximation for binary breakage Population Balance Equation and its convergence analysis'. Together they form a unique fingerprint.

Cite this