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

Abstract

Abstract:We introduce a general parallel model for solving coupled nonlinear and time-dependent problems in soil mechanics. In particular, we discuss the application to a triphasic porous media model, where we compute the deformation of unsaturated soil together with the porefluid flow of water and air in the soil, and where the material behaviour of the skeleton is assumed to be elasto-viscoplastic. In two large-scale numerical experiments we finally present an extended evaluation of our parallel model for demanding 3-d configurations.References:

Parallel Krylov methods and the application to 3-d simulations of a triphasic porous media model in soil mechanics

“…Note that the term r S E ðu S ; e p Þ includes the solution of the evolution equation (8) for the determination of the new plastic strain e p , cf. Wieners et al [16].…”

“…Note that such a complex multiphasic material model is necessary for a realistic description of unsaturated soil conditions [6]. It turns out, that a coupled approach for all phases in the preconditioner leads to an efficient numerical scheme, which is well suited for parallelization, since it can be realized within the parallel linear algebra module of our general model for parallel finite elements introduced in [16].…”

Robust estimates for the approximation of the dynamic consolidation problem

“…The full numerical analysis of convergence in time and space for nonlinear models is more involved, see, e. g., [4] for a rst order method in time applied to a dynamic model in nite elasticity. The extension of the numerical analysis to other nonlinear applications, e. g., models in poro-plasticity, is not done so far (see [6,25] and the references therein for numerical simulations). The paper is organized as follows.…”

Problems of Modeling Dynamic Processes of the Soil Environment in Mechanical Processing

“…Различные модели динамики почвенных процессов предлагаются, например, в работах [7][8][9][10][11][12].…”