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

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dc.contributor.author Singh, Mehakpreet
dc.date.accessioned 2021-07-29T13:34:31Z
dc.date.issued 2021
dc.identifier.uri http://hdl.handle.net/10344/10422
dc.description peer-reviewed en_US
dc.description The full text of this article will not be available in ULIR until the embargo expires on the 02/03/2023
dc.description.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. en_US
dc.language.iso eng en_US
dc.publisher Elsevier en_US
dc.relation 841906 en_US
dc.relation.ispartofseries Journal of Computational Physics;435, 110215
dc.relation.uri http://dx.doi.org/10.1016/j.jcp.2021.110215
dc.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 en_US
dc.subject particles en_US
dc.subject coagulation en_US
dc.subject fragmentation en_US
dc.subject nonlinear integro-partial differential equation en_US
dc.subject finite volume scheme en_US
dc.subject cell average technique en_US
dc.title Accurate and efficient approximations for generalized population balances incorporating coagulation and fragmentation en_US
dc.type info:eu-repo/semantics/article en_US
dc.type.supercollection all_ul_research en_US
dc.type.supercollection ul_published_reviewed en_US
dc.identifier.doi 10.1016/j.jcp.2021.110215
dc.contributor.sponsor Marie Curie-Sklodowska Action (MCSA) en_US
dc.relation.projectid 841906 en_US
dc.date.embargoEndDate 2023-03-02
dc.embargo.terms 2023-03-02 en_US
dc.rights.accessrights info:eu-repo/semantics/embargoedAccess en_US


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