A multiscale computational approach with field transfer dedicated to coupled problems

This article deals with a computational strategy suitable for the simulation of coupled problems, in the presence of heterogeneities and when different precision levels are required for the different physics. To deal with micro heterogeneities, an adaptation of the classical periodic homogenization procedure is used, with the asymptotic development approach, but only one direction of periodicity can be taken into account. The application concerns an axisymmetric reinforced filtration device, modeled as a steady state thermoporoelastic structure, for which thermal and fluid problems are described only at the (homogenized) macroscopic level, while the structure is described up to the microscale. The relocalization has to take edge effects into account since scales are not well separated. The influence of the discretization on the microscale is studied numerically.