论文标题
多点通量（MPFA）和压力（MPSA）的有限体积方法的介绍
An Introduction to Multi-Point Flux (MPFA) and Stress (MPSA) Finite Volume Methods for Thermo-Poroelasticity
论文作者
论文摘要
我们对适用于一般多面体网格的MPFA和MPSA型有限体积方法进行了统一的介绍。与以前的文本相比，这导致了这些方法的更系统的观点，因此我们将此离散化家族称为MPXA方法。我们应用此MPXA框架还定义了热弹性弹性的一致有限体积离散化。为了使广大受众访问该博览会，我们避免了研究文献中使用的许多技术符号，并通过对MPXA方法的主要属性的扩展摘要和文献综述来弥补这一点。我们通过将应用程序应用于复杂几何和非线性物理学问题的部分结束本章。
We give a unified introduction to the MPFA- and MPSA-type finite volume methods for Darcy flow and poro-elasticity, applicable to general polyhedral grids. This leads to a more systematic perspective of these methods than has been exposed in previous texts, and we therefore refer to this discretization family as the MPxA methods. We apply this MPxA framework to also define a consistent finite-volume discretization of thermo-poro-elasticity. In order to make the exposition accessible to a wide audience, we avoid much of the technical notation which is used in the research literature, and compensate for this by an expanded summary and literature review of the main properties of the MPxA methods. We close the chapter by a section containing applications to problems with complex geometries and non-linear physics.
