Multicontinuum homogenization and its relation to nonlocal multicontinuum theories

Yalchin Efendiev; Wing Tat Leung

doi:10.1016/j.jcp.2022.111761

Author(s)

Yalchin Efendiev
Wing Tat Leung

Related Research Unit(s)

Department of Mathematics

Detail(s)

Original language	English
Article number	111761
Journal / Publication	Journal of Computational Physics
Volume	474
Online published	17 Nov 2022
Publication status	Published - 1 Feb 2023

Link(s)

DOI	DOI https://doi.org/10.1016/j.jcp.2022.111761 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-85143696248&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(b6682e5c-291d-4a36-8998-c5839aa9418d).html

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.