Automatic assembly of multiscale models and its application to a family of homogenized models of wave propagation through interfaces having a periodic structure

Abstract

MEMSALab is a software in development that will al-low the generation of multiscale multi-physics model families based on their derivation. Here, we present a mini-language to express such models in a way that is both relatively simple and generates the tree structures necessary for derivations. For validation, it is used for the direct construction (i.e. without derivation) of a family of homogenized models of propagation of waves through an interface with periodic structure. The different models are built according to the principle of reusability based on our extension-combination method. In this respect, recent results for this method are announced.