Multicontinuum homogenization for Richards’ equation: The derivation and numerical experiments-Reference-Cited by-同舟云学术

Multicontinuum homogenization for Richards’ equation: The derivation and numerical experiments

Published:2023-08-01 Issue:4 Volume:38 Page:207-218
ISSN:1569-3988
Container-title:Russian Journal of Numerical Analysis and Mathematical Modelling
language:en
Short-container-title:

Author:

Ammosov Dmitry¹,Stepanov Sergei¹,Spiridonov Denis¹,Li Wenyuan²

Affiliation:

1. Laboratory of Computational Technologies for Modeling Multiphysical and Multiscale Permafrost Processes, North-Eastern Federal University , Yakutsk , Russia

2. Department of Mathematics, Texas A&M University, College Station , TX , USA

Abstract

Abstract In the present paper, the authors rigorously derive Richards’ multicontinuum model using the multicontinuum homogenization approach. This approach is based on formulating constraint cell problems and a homogenization-like expansion. We present numerical results for the two continua case with separable coefficients. First, we explore the relationships between the effective coefficients and the hydraulic conductivity. Then, we solve test problems with different contrasts to study the developed multicontinuum model.

Publisher

Walter de Gruyter GmbH

Subject

Modeling and Simulation,Numerical Analysis

Link

https://www.degruyter.com/document/doi/10.1515/rnam-2023-0016/pdf

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