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W1984971531 abstract "In the southern part of Germany, shallow and mostly unconfined valley aquifers are widespread. The differential equation describing groundwater flow and its boundary conditions varies for different flow situations due to the transient nature of the groundwater table. The authors present a continuous physical-mathematical formulation of two-dimensional horizontal groundwater flow, which allows for a simultaneous computation of saturated unconfined, partially unsaturated, or confined aquifers. This requires a physically sensible functional relationship between the transmissivity and the piezometric head. To numerically approximate the nonlinear parabolic differential equation describing groundwater flow, the finite element method is used in the spatial directions and a finite difference technique for the time derivation. Newton's method is applied to solve the resulting nonlinear algebraic equation system." @default.
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W1984971531 date "1995-01-01" @default.
W1984971531 modified "2023-09-27" @default.
W1984971531 title "Continuous transmissivity transitions for horizontal groundwater flow models" @default.
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W1984971531 doi "https://doi.org/10.1016/0309-1708(95)00025-e" @default.
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