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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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