Boundary Condition Nomenclature Confusion in Groundwater Flow Modeling

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To solve the partial differential equations of groundwater flow, the information about head (h) and/or head gradient (∇h) must be specified along the boundaries of a model domain. The descriptors of different boundary condition (BC) types are drawn from founding mathematicians mainly of the 19th century (Cheng and Cheng 2005). Mathematically, there are five different BC types, including: Dirichlet (Type 1), Neumann (Type 2), Robin (Type 3), Cauchy and Mixed (Liu 2018). These names are sometimes used in communicating the BCs of groundwater flow models, and therefore, correct association between nomenclature and the mathematical form of BCs is important for properly communicating model characteristics.
Original languageEnglish
Pages (from-to)664-668
Number of pages5
Issue number5
Publication statusPublished - Sept 2019


  • Boundary condition
  • groundwater flow modeling
  • Dirichlet BC


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