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

Pub Date : 2023-08-01 DOI:10.1515/rnam-2023-0016
D. Ammosov, S. Stepanov, D. Spiridonov, Wenyuan Li
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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.
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理查兹方程的多连续统均匀化:推导与数值实验
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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