理查兹方程的多连续统均匀化:推导与数值实验

IF 0.5 4区数学 Q4 MATHEMATICS, APPLIED

Russian Journal of Numerical Analysis and Mathematical Modelling Pub Date : 2023-08-01 DOI:10.1515/rnam-2023-0016

D. Ammosov, S. Stepanov, D. Spiridonov, Wenyuan Li

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引用次数: 0

摘要

摘要在本文中，作者使用多连续谱均匀化方法严格推导了Richards的多连续谱模型。这种方法基于公式化约束单元问题和类均匀化展开。我们给出了具有可分离系数的两个连续情形的数值结果。首先，我们探讨了有效系数与导水率之间的关系。然后，我们解决了不同对比度的测试问题，研究了所开发的多连续谱模型。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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.

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来源期刊

Russian Journal of Numerical Analysis and Mathematical Modelling 数学-工程：综合

CiteScore

1.40

自引率

16.70%

发文量

审稿时长

>12 weeks

期刊介绍： The Russian Journal of Numerical Analysis and Mathematical Modelling, published bimonthly, provides English translations of selected new original Russian papers on the theoretical aspects of numerical analysis and the application of mathematical methods to simulation and modelling. The editorial board, consisting of the most prominent Russian scientists in numerical analysis and mathematical modelling, selects papers on the basis of their high scientific standard, innovative approach and topical interest. Topics: -numerical analysis- numerical linear algebra- finite element methods for PDEs- iterative methods- Monte-Carlo methods- mathematical modelling and numerical simulation in geophysical hydrodynamics, immunology and medicine, fluid mechanics and electrodynamics, geosciences.