A weighted finite volume scheme for multivariate aggregation population balance equation

G Kaur, J Kumar, S Heinrich - Computers & chemical engineering, 2017 - Elsevier
For solving multivariate aggregation population balance equation, two new discretizations
based on number and mass distributions are presented. These proposed schemes are …

[HTML][HTML] An improved and efficient finite volume scheme for bivariate aggregation population balance equation

M Singh, J Kumar, A Bück, E Tsotsas - Journal of Computational and …, 2016 - Elsevier
In this work, a finite volume scheme for the numerical solution of bivariate pure aggregation
population balance equations on non-uniform meshes is derived. The new method has a …

The cell average technique for solving multi-dimensional aggregation population balance equations

J Kumar, M Peglow, G Warnecke, S Heinrich - Computers & Chemical …, 2008 - Elsevier
In this paper, the cell average discretization [Kumar, J., Peglow, M., Warnecke, G., Heinrich,
S., & Mörl, 2006a. Improved accuracy and convergence of discretized population balance for …

Numerical methods for solving two-dimensional aggregation population balance equations

R Kumar, J Kumar, G Warnecke - Computers & chemical engineering, 2011 - Elsevier
The cell average technique (CAT) and the fixed pivot (FP) method for solving two-
dimensional aggregation population balance equations using a rectangular grid were …

Effect of different discretizations on the numerical solution of 2D aggregation population balance equation

M Singh, K Vuik, G Kaur, HJ Bart - Powder Technology, 2019 - Elsevier
This work is concerned with the assessment of the various discretizations used to obtain the
numerical solutions of the bivariate aggregation population balance equation. It was …

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

M Singh, R Singh, S Singh, G Singh… - … and Computers in …, 2020 - Elsevier
The present work shows the first ever implementation of two-order moments conserving
finite volume scheme (FVS) for approximating a multidimensional aggregation population …

A volume conserving discrete formulation of aggregation population balance equations on non-uniform meshes

M Singh, J Kumar, A Bück - IFAC-PapersOnLine, 2015 - Elsevier
Aggregation is an important size enlargement process in many industries. The modelling
and design of the process can be done using the population balance framework, however …

A volume‐consistent discrete formulation of aggregation population balance equations

M Singh, J Kumar, A Bück… - Mathematical Methods in …, 2016 - Wiley Online Library
In this paper, a new finite volume scheme for the numerical solution of the pure aggregation
population balance equation, or Smoluchowski equation, on non‐uniform meshes is …

Solution of bivariate aggregation population balance equation: a comparative study

M Singh, G Kaur, T De Beer, I Nopens - Reaction Kinetics, Mechanisms …, 2018 - Springer
The present work shows a comparative study of two different numerical methods for solving
bivariate aggregation population balance equations. In particular, we summarize the cell …

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

M Singh, R Singh, S Singh, G Walker, T Matsoukas - Powder Technology, 2020 - Elsevier
In this work, a discrete finite volume scheme (FVS) is developed for approximating a
multidimensional agglomeration population balance equation on an unstructured grid …