Une approche multiéchelle avec modèles réduits pour le calcul de problèmes paramétrés fortement couplés en thermo-poroélasticité

Solving strongly coupled thermo-poroelasticity problems remains a major challenge due to the complexity of their numerical treatment. Indeed, the presence of coupling terms can degrade the conditioning of the systems to be solved, as well as increasing their bandwidth. In this context, the LATIN-PGD method can be used to overcome these difficulties. This method makes use of model reduction techniques and, at the end of the calculation, provides a basis for representing the solutions and efficiently dealing with a parametrized problem. This article presents the results obtained with this solver on a classic benchmark in thermo-poroelasticity. A parametric study of one of the material coefficients is also carried out, taking advantage of the LATIN-PGD method. The fields calculated for fluid and thermal physics highlight different time and space scales, depending on the physics considered. This work therefore justifies the interest in tackling multi-scale aspects when solving multiphysics problems.