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Accurate and efficient approximations for generalized population balances incorporating coagulation and fragmentation

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journal contribution
posted on 2021-07-29, 13:34 authored by Mehakpreet SinghMehakpreet Singh
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.

History

Publication

Journal of Computational Physics;435, 110215

Publisher

Elsevier

Note

peer-reviewed The full text of this article will not be available in ULIR until the embargo expires on the 02/03/2023

Other Funding information

Marie Curie-Sklodowska Action (MCSA)

Rights

This is the author’s version of a work that was accepted for publication in Journal of Computational Physics . Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Computational Physics, 2021, 435, 110215 http://dx.doi.org/10.1016/j.jcp.2021.110215

Language

English

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