We develop a new approach to solve the nonlinear Richards equation based on Kirchhoff transformation and localized radial basis function (LRBF) techniques. Our aim is reduce nonlinearity of governing apply LRBF methods for modeling unsaturated flow through heterogeneous soils. In our methodology, we propose special techniques which deal with heterogeneity medium in order where used Brooks Corey...

A quasi three-dimensional (QUASI 3-D) model is presented for simulating the subsurface water flow and solute transport in the unsaturated and in the saturated zones of soil. The model is based on the assumptions of vertical flow in the unsaturated zone and essentially horizontal groundwater flow. The 1-D Richards equation for the unsaturated zone is coupled at the phreatic surface with the 2-D ...

Abstract. A simple numerical solution procedure – namely the method of lines combined with an off-the-shelf ordinary differential equation (ODE) solver was shown in previous work to provide efficient, mass-conservative solutions pressure-head form Richards' equation. We implement such a our model openRE. developed novel quantify boundary fluxes that reduce water balance errors without negative ...

The classical Lighthill-Whitham-Richards (LWR) kinematic traffic model is extended to a unidirectional road on which the maximum density a(x) represents road inhomogeneities, such as variable numbers of lanes, and is allowed to vary discontinuously. The car density φ = φ(x, t) is then determined by the following initial value problem for a scalar conservation law with a spatially discontinuous ...