Application of nonlinearity continuation method to numerical solution steady-state groundwater flow in variably saturated conditions is presented. In order solve the system nonlinear equations obtained by finite volume discretization Richards equation, a series problems with increasing are solved using Newton method. This approach compared pseudo-transient on several test cases, including real ...

The nonlinear solvers in numerical solution of water flow in variably saturated soils are prone to convergence difficulties. Many aspects can give rise to such difficulties, like very dry initial conditions, a steep pressure gradient and great variation of hydraulic conductivity occur across the wetting front during the infiltration of water.  So, the averaging method applied to compute hydraul...

Olaf Kolditz (corresponding author) Jens-Olaf Delfs Geohydrology and Hydroinformatics, Center for Applied Geoscience, University of Tübingen, Tübingen D-72076, Germany and Environmental Informatics, Helmholtz Center for Environmental Research UFZ, 04318 Leipzig, Germany E-mail: [email protected] Claudius Bürger Martin Beinhorn Geohydrology and Hydroinformatics, Center for Applied Geoscience, ...