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Abstract

While the theoretical background of various porous media models is well understood, it is still a demanding task to deal with these models numerically. In this contribution, a triphasic model is presented, which is capable of describing partially saturated soils. In quasi-static conditions, this model results in the primary variables solid displacement, pore-liquid pressure and pore-gas pressure. For a stable numerical implementation, Taylor-Hood elements are required, which need quadratic ansatz functions for the displacement and linear ansatz functions for the pressure terms. Looking at numerical simulations in 2-d, challenging finite element calculations have already been realized in combination with adaptivity in time and space [1]. Nevertheless, new strategies have to be considered for a realization of applications of the model in 3-d in order to handle the huge amount of unknowns arising from the discretization with Taylor-Hood elements. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)