Journal of Radioanalytical and Nuclear Chemistry, 2023 (SCI-Expanded)
Article / Article
Journal of Radioanalytical and Nuclear Chemistry
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Adaptive temporal differencing, Finite difference, Groundwater radionuclide transport, Implicit scheme, Method of lines
Istanbul Technical University Affiliated:
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.