Computational Mechanics

, Volume 29, Issue 1, pp 75–87 | Cite as

Parallel 3-d simulations for porous media models in soil mechanics

  • C. Wieners
  • M. Ammann
  • S. Diebels
  • W. Ehlers

Abstract

 Numerical simulations in 3-d for porous media models in soil mechanics are a difficult task for the engineering modelling as well as for the numerical realization. Here, we present a general numerical scheme for the simulation of two-phase models in combination with an abstract material model via the stress response with a specialized parallel saddle point solver. Therefore, we give a brief introduction into the theoretical background of the Theory of Porous Media and constitute a two-phase model consisting of a porous solid skeleton saturated by a viscous pore-fluid. The material behaviour of the skeleton is assumed to be elasto-viscoplastic. The governing equations are transfered to a weak formulation suitable for the application of the finite element method. Introducing an abstract formulation in terms of the stress response, we define a clear interface between the assembling process and the parallel solver modules. We demonstrate the efficiency of this approach by challenging numerical experiments realized on the Linux Cluster in Chemnitz.

Keywords Parallel computing, Multigrid methods, Theory of Porous Media, Non-associated elasto-viscoplasticity 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • C. Wieners
    • 1
  • M. Ammann
    • 2
  • S. Diebels
    • 3
  • W. Ehlers
    • 2
  1. 1.Institut für Mathematik, Universität Augsburg, 86 159 Augsburg, GermanyDE
  2. 2.Institut für Mechanik (Bauwesen), Universität Stuttgart, 70 550 Stuttgart, Germany www.mechbau.uni-stuttgart.de/ls2 e-mail: ehlers@mechbau.uni-stuttgart.deDE
  3. 3.Lehrstuhl für Technische Mechanik, Universität des Saarlandes, 66041 Saarbrücken, GermanyDE

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