Multicontinuum homogenization and its relation to nonlocal multicontinuum theories
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
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Detail(s)
Original language | English |
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Article number | 111761 |
Journal / Publication | Journal of Computational Physics |
Volume | 474 |
Online published | 17 Nov 2022 |
Publication status | Published - 1 Feb 2023 |
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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.
Research Area(s)
- Homogenization, MsFEM, Multicontinuum, Multiscale, Porous media, Upscaling
Citation Format(s)
Multicontinuum homogenization and its relation to nonlocal multicontinuum theories. / Efendiev, Yalchin; Leung, Wing Tat.
In: Journal of Computational Physics, Vol. 474, 111761, 01.02.2023.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review