Numerical modelling of groundwater radionuclide transport with finite difference-based method of lines

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dc.authorid0000-0002-0428-3197
dc.contributor.authorTanbay, Tayfun
dc.contributor.authorDurmayaz, Ahmet
dc.date.accessioned2026-02-12T21:05:32Z
dc.date.available2026-02-12T21:05:32Z
dc.date.issued2023
dc.departmentBursa Teknik Üniversitesi
dc.description.abstractIn this study, the advection-dispersion equation with decay is numerically solved by the finite difference-based method of lines (FD-MOL) to simulate groundwater radionuclide transport. Finite difference orders of 1,2,.,8 are used for spatial approximation, while the linearly implicit Euler scheme is employed adaptively for temporal discretization. Four different problems are investigated, and results show that FD-MOL provides accurate and stable numerical solutions. Coarse temporal grids can be utilized implicitly, for instance, a maximum step of 1000 years with 400 spatial nodes yields RMS errors of 7.508 x 10(-6), 7.395 x10(-5) and 7.705 x10(-6) in (234) (92) U, (230) (90) Th and (226) (88) Ra normalized concentrations, respectively, for the decay chain problem.
dc.identifier.doi10.1007/s10967-023-09020-1
dc.identifier.endpage4845
dc.identifier.issn0236-5731
dc.identifier.issn1588-2780
dc.identifier.issue11
dc.identifier.scopus2-s2.0-85164821057
dc.identifier.scopusqualityQ2
dc.identifier.startpage4833
dc.identifier.urihttps://doi.org/10.1007/s10967-023-09020-1
dc.identifier.urihttps://hdl.handle.net/20.500.12885/7013
dc.identifier.volume332
dc.identifier.wosWOS:001029680900001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofJournal of Radioanalytical and Nuclear Chemistry
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260212
dc.subjectGroundwater radionuclide transport
dc.subjectFinite difference
dc.subjectMethod of lines
dc.subjectAdaptive temporal differencing
dc.subjectImplicit scheme
dc.titleNumerical modelling of groundwater radionuclide transport with finite difference-based method of lines
dc.typeArticle

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