Title: The Groundwater Flow Problem And The Adaptive Hydrology

Title: The Groundwater Flow Problem and the ADaptive Hydrology

Model

Abstract:

Groundwater flow is often modeled by Richards’ Equation. The solution of Richards’ equation continues to be challenging for researchers because of the nonlinearity of the problem as well as the nonlinearities of the constitutive equations that are required to close Richards’ equation. Finite elements are used to discretize the domain in time and space. Our motivation is the Adaptive Hydrology Model, developed by the Army Corps of Engineers, which couples surface flow and groundwater flow regimes. The physical natures of these regimes require both temporal and spatial adaptions in the domain. We’ll discuss the various methods used to achieve these as well as temporal and spatial adpation methods.