A LATIN computational strategy for multiphysics problems: application to poroelasticity

Multiphysics phenomena and coupled-eld problems usually lead to analyses which are computationally intensive. Strategies to keep the cost of these problems aordable are of special interest. For coupled uid–structure problems, for instance, partitioned procedures and staggered algorithms are often preferred to direct analysis. In this paper, we describe a new strategy for solving coupled multiphysics problems which is built upon the LArge Time INcrement (LATIN) method. The proposed application concerns the consolidation of saturated porous soil, which is a strongly coupled uid–solid problem. The goal of this paper is to discuss the eciency of the proposed approach, especially when using an appropriate time-space approximation of the unknowns for the iterative resolution of the uncoupled global problem. The use of a set of radial loads as an adaptive approximation of the solution during iterations will be validated and a strategy for limiting the number of global resolutions will be tested on multiphysics problems.