We propose several numerical approaches building on upstream mobility two-point flux approximation finite volumes to solve Richards’ equation in domains made of rock-types. Our study encompasses four different schemes corresponding ways approximate the nonlinear transmission condition systems arising at interface between rocks consisting continuity pressure and fluxes, as well resolution strate...

The performance of 10 deterministic one-dimensional dynamic pesticide leaching models with different complexity was evaluated using data collected on a humic sandy soil with a shallow ground water table in the Netherlands. Both mechanistic models, based on the solution of the governing ̄ow equations (the Richards equation for soil water and the convection dispersion equation for solute ̄ow) and...

In this paper, we introduce peridynamic theory and its application to Richards’ equation with a piecewise smooth initial condition. Peridynamic is non-local continuum that models the deformation failure of materials. describes unsaturated flow water through porous media, it plays an essential role in many applications, such as groundwater management, soil science, environmental engineering. We ...

Kavanagh, Kathleen Rose. Nonsmooth Nonlinearities in Applications From Hydrology. (Under the direction of C.T. Kelley) This work has two parts; simulation of unsaturated flow and optimization of remediation problems. For the unsaturated flow simulation, we propose an adaptive time stepping scheme based on error control for Richards’ equation, a model for flow in unsaturated porous media. The mo...