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Finite volume approach for fragmentation equation and its mathematical analysis

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dc.contributor.author Singh, Mehakpreet
dc.contributor.author Walker, Gavin M.
dc.date.accessioned 2021-05-24T10:30:34Z
dc.date.available 2021-05-24T10:30:34Z
dc.date.issued 2021
dc.identifier.uri http://hdl.handle.net/10344/10105
dc.description peer-reviewed en_US
dc.description.abstract This work is focused on developing a finite volume scheme for approximating a fragmentation equation. The mathematical analysis is discussed in detail by examining thoroughly the consistency and convergence of the numerical scheme. The idea of the proposed scheme is based on conserving the total mass and preserving the total number of particles in the system. The proposed scheme is free from the trait that the particles are concentrated at the representative of the cells. The verification of the scheme is done against the analytical solutions for several combinations of standard fragmentation kernel and selection functions. The numerical testing shows that the proposed scheme is highly accurate in predicting the number distribution function and various moments. The scheme has the tendency to capture the higher order moments even though no measure has been taken for their accuracy. It is also shown that the scheme is second-order convergent on both uniform and nonuniform grids. Experimental order of convergence is used to validate the theoretical observations of convergence. en_US
dc.language.iso eng en_US
dc.publisher Springer en_US
dc.relation.ispartofseries Numerical Algorithms;
dc.subject Convergence Grids en_US
dc.subject Fragmentation Integro-partial en_US
dc.title Finite volume approach for fragmentation equation and its mathematical analysis 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 10.1007/s11075-021-01122-9
dc.contributor.sponsor IReL Consortium en_US
dc.rights.accessrights info:eu-repo/semantics/openAccess en_US


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