A computational strategy suitable for multiphysics problems
Résumé
Multiphysics phenomena and coupled-field problems usually lead to computationally intensive structural
analyses. Strategies to keep these problems computationally affordable are of special interest. For
coupled fluid-structure problems for instance, partitioned procedures and staggered algorithms are often
preferred to direct analysis (also called the monolithic approach), from a computational efficiency point
of view. Recently, a mixed domain decomposition method has been designed for parallel computing environments, and a multi-level pproach embedding a homogenization procedure makes it suitable for highlyheterogeneous problems. From the generalization of the concept of geometric interfaces between substructures to an interface between different physics, the Large Time INcrement method (LATIN) allows building an approach suited for solving coupled multiphysics problems.
The proposed application concerns the consolidation of porous saturated soil, i.e. a coupled fluid-solid problem in the domain. The feasability of the method and its performance comparison with a standard partitioning scheme (the so-called ISPP) has been presented in a previous paper. As an improvement, the further step is to take into account different time scales arising from multiphysics problem. Thus, the present paper proposes a time multiscale strategy.
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