Simulations of saturated-unsaturated groundwater flow in heterogeneous soil can be carried out by considering non-overlapping domain decomposition problems for the Richards equation in subdomains with homogeneous soil. By the application of different Kirchhoff transformations in the different subdomains local convex minimization problems can be obtained which are coupled via superposition opera...

We present simple discrete velocity models for traffic flows. The novel feature in the corresponding relaxation system is the presence of non negative velocities only. We show that in the small relaxation limit the discrete models reduce to the Lighthill-Whitham-Richards equation. In addition we propose second order schemes combined with IMEX time integrators as proper discretization of the rel...

Steady, Darcian, 1-D, 1-phase evaporation through a vertically inhomogeneous soil from a horizontal water table is simulated as an optimal control problem, i.e. the hydraulic properties of the porous medium (relative permeability of moisture and capillary water retention curve) are considered as control functions. The Richards nonlinear ordinary differential equation is integrated twice as a bo...

0309-1708/$ see front matter 2008 Elsevier Ltd. A doi:10.1016/j.advwatres.2008.11.009 * Corresponding author. E-mail address: [email protected] (P. Dost This paper concerns efficient uncertainty quantification techniques in inverse problems for Richards’ equation which use coarse-scale simulation models. We consider the problem of determining saturated hydraulic conductivity fields condi...

Developing robust and ecient numerical solution methods for Richards' equation (RE) continues to be a challenge for certain problems. We consider such a problem here: in®ltration into unsaturated porous media initially at static conditions for uniform and non-uniform pore size media. For ponded boundary conditions, a sharp in®ltration front results, which propagates through the media. We evalu...

This study introduces a model based on Richards’ equation to describe variably-saturated beach groundwater flow. The surface wave propagation is computed by the phase-resolving non-hydrostatic SWASH code. data are used make suitable dynamic boundary condition at face force equation. latter solved weighted discontinuous Galerkin method together with adaptive mesh refinement. validated comparison...

To use soil hydrology processe (SHP) models, which have increasingly extended during the last years, comprehensive knowledge about these models and their modeling approaches seems to be necessary. The modeling approaches can be categorized as either classical or non-classical. Classical approaches mainly model the SHP through solving the general unsaturated flow (Richards) equation, numerically...

To use soil hydrology processes (SHP) models, which have increasingly extended during the last years, comprehensive knowledge about these models and their modeling approaches seems to be necessary. The modeling approaches can be categorized as either classical or non-classical. Classical approaches mainly model the SHP through solving the general unsaturated flow (Richards) equation, numericall...