Generalized multiscale finite element method for non-Newtonian fluid flow in perforated domain

摘要: In this work, we consider a non-Newtonian fluid flow in perforated domains. Fluid domains have multiscale nature and solution techniques for such problems require high resolution. particular, the discretization needs to honor irregular boundaries of perforations. This gives rise fine-scale with many degrees freedom which can be very expensive solve. develop approach that attempt solve on coarse grid by constructing basis functions. We follow Generalized Multiscale Finite Element Method (GMsFEM) [1, 2] procedure where identify functions each block using snapshot space local spectral [3, 4]. show few block, one accurately approximate solution, contain small inclusions.