Abstract
We introduce a general parallel model for solving coupled nonlinear and time-dependent problems in soil mechanics, where we employ general purpose linear solvers with specially adjusted preconditioners. In particular, we present a parallel realization of the GMRES method applied to a triphasic porous media model in soil mechanics, where we compute the deformation of unsaturated soil together with the pore-fluid flow of water and air in the soil. Therefore, we propose a pointwise preconditioner coupling all unknowns at the nodal points. In two large-scale numerical experiments we finally present an extended evaluation of our parallel model for demanding configurations of the triphasic model.
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Wieners, C., Graf, T., Ammann, M. et al. Parallel Krylov methods and the application to 3-d simulations of a triphasic porous media model in soil mechanics. Comput Mech 36, 409–420 (2005). https://doi.org/10.1007/s00466-004-0654-1
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DOI: https://doi.org/10.1007/s00466-004-0654-1