Computational Homogenization of Unsteady Incompressible Flows with Obstacles
Modesar Shakoor, Chung Hae Park · 2021
Computational homogenization and its Finite Element (FE) implementation is now well understood and widely used to model the multiscale mechanics of materials.An FExFE or FE² simulation relies on an FE model of a coarse domain which embeds other FE models of a fine domain at each of its integration points [1].The fine domain should be a Representative Volume Element (RVE) capturing the fine aspects of the heterogeneity to be homogenized, so that the coarse domain can be modeled as homogeneous.This approach is relevant if the characteristic length of the heterogeneity is very small compared to that of the coarse domain, as it avoids representing this heterogeneity directly within the coarse FE mesh.