Type

Journal Article

Authors

Gavin M Walker
Gagandeep Singh
Sukhjit Singh
Randhir Singh
Mehakpreet Singh

Subjects

Mathematics

Topics
cell average technique finite volume scheme balance aggregation first order population triangular grid bicomponent moments

Finite volume approximation of multidimensional aggregation population balance equation on triangular grid (2020)

Abstract The full text of this article will not be available in ULIR until the embargo expires on the 03/01/2021 The present work shows the first ever implementation of two-order moments conserving finite volume scheme (FVS) for approximating a multidimensional aggregation population balance equations (PBE's) on a structured triangular grid. This scheme is based on preservation of the zeroth and conservation of the first order moments. Our main aim is to demonstrate the ability of the FVS to adapt the structured triangular grid well, hence, improves the accuracy of number density function as well as various order moments. The numerical results obtained by the FVS on a triangular grid are compared with the cell average technique. The comparison is also enhanced to illustrate that the FVS with a triangular grid provides the numerical results with higher precision and at lesser computational time as compared to the FVS with a rectangular grid. Additionally, we also study the mixing state of a bicomponent population of clusters (granules) characterized by the normalized variance of excess solute, Ï , a parameter that measures the deviation of the composition of each granule from the overall mean. It is shown that the accuracy of the total variance of the excess solute improves when a triangular grid is used in place of a rectangular grid.
Collections Ireland -> University of Limerick -> Centres Science and Engineering
Ireland -> University of Limerick -> Faculty of Science and Engineering
Ireland -> University of Limerick -> Bernal Institute

Full list of authors on original publication

Gavin M Walker, Gagandeep Singh, Sukhjit Singh, Randhir Singh, Mehakpreet Singh

Experts in our system

1
Gavin M Walker
University of Limerick
Total Publications: 59
 
2
Randhir Singh
University of Limerick
Total Publications: 3
 
3
Mehakpreet Singh
University of Limerick
Total Publications: 5