论文标题
多牙素化及其与非本地多孔氏理论的关系
Multicontinuum homogenization and its relation to nonlocal multicontinuum theories
论文作者
论文摘要
在本文中,我们介绍了多通用方程的一般推导,并讨论细胞问题。我们在代表性体积元素和过采样技术中提出了约束细胞问题制剂,从而允许减少边界效应。我们讨论针对细胞问题的约束选择的不同选择。我们提出了数值结果,以显示过采样如何减少边界效应。最后,我们讨论了所提出的方法与我们先前开发的方法,非局部多通用方法的关系。
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.