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Accurate and efficient approximations for generalized population balances incorporating coagulation and fragmentation
Date
2021
Abstract
This study focuses on development of two approaches based on finite volume schemes for solving both one-dimensional and multidimensional nonlinear simultaneous coagulation-fragmentation population balance equations (PBEs). Existing finite volume schemes and sectional methods such as fixed pivot technique and cell average technique have many issues related to accuracy and efficiency. To resolve these challenges, two finite volume schemes are developed and compared with the cell average technique along with the exact solutions. The new schemes have features such as simpler mathematical formulations, easy to code and robust to apply on nonuniform grids. The numerical testing shows that both new finite volume schemes compute the number density functions and their corresponding integral moments with higher precision on a coarse grid by consuming lesser CPU time. In addition, both schemes are extended to approximate generalized simultaneous coagulation-fragmentation problems and retains the numerical accuracy and efficiency. For the higher dimensional PBEs (2D and 3D), the investigation and verification of the numerical schemes is done by deriving new exact integral moments for various combinations of coagulation kernels, selection functions and fragmentation kernels.
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Description
peer-reviewed
The full text of this article will not be available in ULIR until the embargo expires on the 02/03/2023
Publisher
Elsevier
Citation
Journal of Computational Physics;435, 110215
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Singh_2021_Accurate.pdf
Adobe PDF, 510.89 KB
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Funding code
Funding Information
Marie Curie-Sklodowska Action (MCSA)