Numerical scheme for coupling two-phase compositional porous-media flow and one-phase compositional free flow
Numerical scheme for coupling two-phase compositional porous-media flow and one-phase compositional free flow
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耦合两相复合多孔介质流和一相复合自由流的数值方案
DOI：
10.1093/imamat/hxs048
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发表时间：
2012
影响因子：
1.2
通讯作者：
B. Wohlmuth
中科院分区：
文献类型：
--
作者：
Mosthaf;Flemisch;Helmig;Müthing;B. Wohlmuth
我们给出了一个耦合了单相自由和两相多孔介质流动和输运的模型的数值实现，并着重于界面条件的处理。该模型的概念是基于双域方法和非等温组分子模型。这些条件与考虑质量、动量和能量转移的界面条件相结合，并保证通量的连续性。整个区域使用以顶点为中心的有限体积格式，并对包含耦合矩阵的整个系统求解全局矩阵。界面处的通量是通过来自相邻有限体积盒的通量平衡间接计算的。数值算例表明，受环境空气流动影响的部分饱和多孔介质中的蒸发，说明了在参考情况下饱和度和温度的演变，并说明了耦合概念。此外，通过一系列的模拟研究了温度、Beivers-Joseph系数和渗透率对蒸发过程的影响。在所提出的装置中，Bevers-Joseph系数的选择对界面蒸发速率的影响可以忽略不计。
We present the numerical implementation of a model that couples single-phase free and two-phase porous-media flow and transport with the focus on the treatment of the interface conditions. The model concept is based on the two-domain approach and on non-isothermal compositional submodels. These are coupled by interface conditions accounting for mass, momentum and energy transfer, and guaranteeing continuity of fluxes. A vertex-centred finite-volume scheme is used throughout the domain and a global matrix is solved for the whole system incorporating the coupling matrices. The fluxes at the interface are calculated indirectly via a flux balance from the adjacent finite-volume boxes. Numerical examples, representing evaporation from partially saturated porous media influenced by an ambient air flow, illustrate the evolution of saturation and temperature in a reference case and demonstrate the coupling concept. Furthermore, the effect of temperature, Beavers–Joseph coefficient and permeability on the evaporation process are examined with a series of simulations. In the presented set-ups, the choice of the Beavers–Joseph coefficient has a negligible influence on the evaporation rate across the interface.