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Showing posts from September, 2015

Integrated groundwater and surface water modeling: the finite element

Numerical simulations of groundwater and surface water movements are essentially dealing with the finite element in the spatial domain.
This finite element could be in a variety of forms including cubic, node and pixel. This depends upon the methods used to conceptualize this physical world. The dimension of these finite elements varies as well since they are characterized by spatial resolution. For spatial distributed hydrologic models, regardless of groundwater or surface water models, these finite elements interact with each other governed by derived continuity equations such as Richard's equation.
Consequently, in most groundwater models, the finite element would interact with 6 neighbors in a 3D model. However, in a spatial distributed surface water model, the finite element may interact with 8 neighbors or 4 neighbors. Even within one model, different assumptions are possibly made in different scenarios.  Then the question is are these assumptions contradict each other? Or w…