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

Tanbay T., Durmayaz A.

Journal of Radioanalytical and Nuclear Chemistry, 2023 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Publication Date: 2023
  • Doi Number: 10.1007/s10967-023-09020-1
  • Journal Name: Journal of Radioanalytical and Nuclear Chemistry
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Analytical Abstracts, Biotechnology Research Abstracts, CAB Abstracts, Chemical Abstracts Core, Chimica, Communication Abstracts, EMBASE, Food Science & Technology Abstracts, INSPEC, Metadex, Pollution Abstracts, Public Affairs Index, Veterinary Science Database, Civil Engineering Abstracts
  • Keywords: Adaptive temporal differencing, Finite difference, Groundwater radionuclide transport, Implicit scheme, Method of lines
  • Istanbul Technical University Affiliated: Yes


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.