TY - JOUR
T1 - Boundary Condition Nomenclature Confusion in Groundwater Flow Modeling
AU - Jazayeri, Amir
AU - Werner, Adrian D
PY - 2019/9
Y1 - 2019/9
N2 - 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.
AB - 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.
KW - Boundary condition
KW - groundwater flow modeling
KW - Dirichlet BC
UR - http://purl.org/au-research/grants/ARC/FT150100403
UR - http://purl.org/au-research/grants/ARC/LP140100317
UR - http://www.scopus.com/inward/record.url?scp=85067511425&partnerID=8YFLogxK
U2 - 10.1111/gwat.12893
DO - 10.1111/gwat.12893
M3 - Comment/debate
SN - 1745-6584
VL - 57
SP - 664
EP - 668
JO - Groundwater
JF - Groundwater
IS - 5
ER -