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# Finite volume approximation of nonlinear agglomeration population balance equation on triangular grid

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 dc.contributor.author Singh, Mehakpreet dc.contributor.author Ismail, Hamza Y. dc.contributor.author Singh, Randhir dc.contributor.author Albadarin, Ahmad B. dc.contributor.author Walker, Gavin M. dc.date.accessioned 2020-03-31T12:46:46Z dc.date.issued 2019 dc.identifier.issn 0021-8502 dc.identifier.uri http://hdl.handle.net/10344/8674 dc.description peer-reviewed en_US dc.description.abstract In this present work, a finite volume scheme for approximating a multidimensional nonlinear agglomeration population balance equation on a regular triangular grid is developed. The finite volume schemes developed in literature are restricted to a rectangular grid [43]. However, the accuracy and efficiency of finite volume scheme can be enhanced by considering triangular grids. The triangular grid is generated using the concept of â Voronoi Partitioningâ and â Delaunay Triangulationâ . To test the accuracy and efficiency of the scheme on a triangular grid, the numerical results are compared with the sectional method, namely Cell Average Technique [38] for various analytically tractable kernels. The results reveal that the finite volume scheme on a triangular grid is computationally less expensive and predicts the number density function along with the different order moments more accurately than the cell average technique. Furthermore, the numerical comparison is extended by comparing the finite volume scheme on a rectangular grid. It also demonstrates that the finite volume scheme with a regular triangular grid computes the numerical results more accurately and efficiently than the finite volume scheme with a rectangular grid. en_US dc.language.iso eng en_US dc.publisher Elsevier en_US dc.relation.ispartofseries Journal of Aerosol Science;137, 105430 dc.relation.uri https://doi.org/10.1016/j.jaerosci.2019.105430 dc.rights This is the author’s version of a work that was accepted for publication in Journal of Aerosol Science. 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 Aerosol Science, 2019, 137, 105430, https://doi.org/10.1016/j.jaerosci.2019.105430 en_US dc.subject agglomeration en_US dc.subject cell average technique en_US dc.subject finite volume scheme en_US dc.subject moments en_US dc.subject nonlinear integro-partial differential equation en_US dc.subject regular triangular grid en_US dc.title Finite volume approximation of nonlinear agglomeration population balance equation on triangular grid 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.date.updated 2020-03-31T12:37:21Z dc.description.version ACCEPTED dc.identifier.doi 10.1016/j.jaerosci.2019.105430 dc.contributor.sponsor Marie Curie-Sklodowska Action (MCSA) en_US dc.relation.projectid 841906 en_US dc.date.embargoEndDate 2021-07-23 dc.embargo.terms 2021-07-23 en_US dc.rights.accessrights info:eu-repo/semantics/openAccess en_US dc.internal.rssid 2922411 dc.internal.copyrightchecked Yes dc.identifier.journaltitle Journal Of Aerosol Science dc.description.status peer-reviewed
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