A generalized multiscale finite element method for high-contrast single-phase flow problems in anisotropic media

作者：Ren Jun^*; Presho Michael

来源：Journal of Computational and Applied Mathematics, 2015, 277: 202-214.

DOI：10.1016/j.cam.2014.09.006

• Generalized multiscale finite element method
• High-contrast permeability
• Anisotropic media
• Single-phase flow

In this paper, we describe a systematic framework called the Generalized Multiscale Finite Element Method (GMsFEM) for performing multiscale simulations, and we investigate the application of this framework to the high-contrast flow problems in anisotropic media. We present a multiscale model reduction technique for constructing a reduced-dimension space based on localized spectral decompositions. We discuss the multiscale coarse space both in parameter-independent and parameter-dependent cases, Furthermore, we highlight the relation between the solution convergence and the spectral behavior of the eigenvalue problems. A variety of numerical examples are presented to illustrate the performance of the proposed methodology.

• 出版日期2015-3-15