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

Tayfun Tanbay*, Ahmet Durmayaz

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Özet

In 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 × 10−6, 7.395 × 10−5 and 7.705 × 10−6 in 92234U,90230Th and 88226Ra normalized concentrations, respectively, for the decay chain problem.

Orijinal dilİngilizce
Sayfa (başlangıç-bitiş)4833-4845
Sayfa sayısı13
DergiJournal of Radioanalytical and Nuclear Chemistry
Hacim332
Basın numarası11
DOI'lar
Yayın durumuYayınlandı - Kas 2023

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Publisher Copyright:
© 2023, Akadémiai Kiadó, Budapest, Hungary.

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