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Parallel Strategies Applied to FE Simulations of Multiphasic Problems
Author(s) -
Ehlers Wolfgang,
Graf Tobias,
Ammann Martin,
Wieners Christian
Publication year - 2004
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200410008
Subject(s) - ansatz , realization (probability) , discretization , taylor series , displacement (psychology) , quadratic equation , mathematics , porous medium , finite element method , space (punctuation) , computer science , mechanics , mathematical optimization , mathematical analysis , physics , porosity , thermodynamics , geology , geometry , geotechnical engineering , mathematical physics , psychology , statistics , psychotherapist , operating system
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)