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dc.contributor.authorRusconi, S. 
dc.contributor.authorDutykh, D.
dc.contributor.authorZarnescu, A. 
dc.contributor.authorSokolovski, D.
dc.contributor.authorAkhmatskaya, E. 
dc.date.accessioned2019-12-07T18:14:48Z
dc.date.available2019-12-07T18:14:48Z
dc.date.issued2020-02
dc.identifier.issn0010-4655
dc.identifier.urihttp://hdl.handle.net/20.500.11824/1048
dc.description.abstractIn modelling of chemical, physical or biological systems it may occur that the coefficients, multiplying various terms in the equation of interest, differ greatly in magnitude, if a particular system of units is used. Such is, for instance, the case of the Population Balance Equations (PBE) proposed to model the Latex Particles Morphology formation. The obvious way out of this difficulty is the use of dimensionless scaled quantities, although often the scaling procedure is not unique. In this paper, we introduce a conceptually new general approach, called Optimal Scaling (OS). The method is tested on the known examples from classical and quantum mechanics, and applied to the Latex Particles Morphology model, where it allows us to reduce the variation of the relevant coefficients from 49 to just 4 orders of magnitudes. The PBE are then solved by a novel Generalised Method Of Characteristics, and the OS is shown to help reduce numerical error, and avoid unphysical behaviour of the solution. Although inspired by a particular application, the proposed scaling algorithm is expected find application in a wide range of chemical, physical and biological problems.en_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectNondimensionalizationen_US
dc.subjectDimensionless modelsen_US
dc.subjectSchrödinger equationen_US
dc.subjectMulti-phase polymersen_US
dc.subjectPopulation Balance Equationsen_US
dc.subjectGeneralised Method Of Characteristicsen_US
dc.titleAn optimal scaling to computationally tractable dimensionless models: Study of latex particles morphology formationen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1016/j.cpc.2019.106944
dc.relation.publisherversionhttps://doi.org/10.1016/j.cpc.2019.106944en_US
dc.relation.projectIDES/1PE/SEV-2017-0718en_US
dc.relation.projectIDES/1PE/MTM2016-76329-Ren_US
dc.relation.projectIDES/1PE/MTM2017-82184-Ren_US
dc.relation.projectIDEUS/BERC/BERC.2018-2021en_US
dc.relation.projectIDEUS/ELKARTEKen_US
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.titleComputer Physics Communicationsen_US


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Reconocimiento-NoComercial-CompartirIgual 3.0 España
Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España