Multicontinuum homogenization and its relation to nonlocal multicontinuum theories

DOI10.1016/J.JCP.2022.111761arXiv2208.04005MaRDI QIDQ6407269

Publication date: 8 August 2022

Abstract: In this paper, we present a general derivation of multicontinuum equations and discuss cell problems. We present constraint cell problem formulations in a representative volume element and oversampling techniques that allow reducing boundary effects. We discuss different choices of constraints for cell problems. We present numerical results that show how oversampling reduces boundary effects. Finally, we discuss the relation of the proposed methods to our previously developed methods, Nonlocal Multicontinuum Approaches.

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Flows in porous media; filtration; seepage (76Sxx)

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