Discrete finite volume approach for multidimensional agglomeration population balance equation on unstructured grid

Mehakpreet Singh, Randhir Singh, Sukhjit Singh, Gavin Walker, Themis Matsoukas

Research output: Contribution to journalArticlepeer-review

Abstract

In this work, a discrete finite volume scheme (FVS) is developed for approximating a multidimensional agglomeration population balance equation on an unstructured grid. Previous applications of the FVS were restricted only to structured rectangular and triangular grids. The main hindrance of using the unstructured grid is less knowledge of the relation between the quality of solution and the nature of elements. The testing of the proposed FVS is conducted against the FVS on a structured grid using analytically tractable kernels. The numerical results reveal that the FVS with unstructured grid estimates the numerical results with higher accuracy and efficiency than the existing method. The use of unstructured grid offers improved numerical results due to the flexibility of placing the pivot in the space. Moreover, the mixing of components for a bicomponent population is examined using the variance of excess solute for the unstructured grid.

Original languageEnglish
Pages (from-to)229-240
Number of pages12
JournalPowder Technology
Volume376
DOIs
Publication statusPublished - Oct 2020

Keywords

  • Agglomeration
  • Finite volume scheme
  • Nonlinear Integro-partial differential equation
  • Normalized moments
  • Number density function
  • Unstructured grid

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