Multiscale formulation of two-phase flow at the pore scale
Multiscale formulation of two-phase flow at the pore scale
复制标题
孔隙尺度两相流的多尺度公式
DOI：
10.1016/j.jcp.2019.03.035
复制
发表时间：
2019
期刊：
影响因子：
--
通讯作者：
H. Tchelepi
中科院分区：
文献类型：
--
作者：
Y. Mehmani;H. Tchelepi
多相流的直接数值模拟 (DNS) 可以对多孔介质中的孔隙尺度流体动力学进行最高保真度的预测。 DNS 的缺点是计算成本较高。我们开发了一种孔隙级多尺度方法 (PLMM)，通过不断改进不混溶两相纳维-斯托克斯方程的近似值来加速 DNS。 PLMM 从多孔介质的二值图像开始，将空隙空间分解为与物理孔隙一致的子域。对于每个子域，单相基函数构造一次。然后仅针对包含流体-流体界面的子域计算校正函数。基础函数和校正函数通过全局问题耦合，从而产生用于传播界面的精确速度场。通过将两相动力学视为单相流的局部扰动，PLMM 自适应地将计算局部化到位移前沿。预测误差还通过迭代策略进行估计和控制。 PLMM 是可并行化的，并允许每个子域中使用不同的网格、模型和物理场。
Direct numerical simulation (DNS) of multiphase flow yields the highest fidelity predictions of pore-scale fluid dynamics in porous media. The drawback of DNS is its high computational cost. We develop a pore-level multiscale method (PLMM) that accelerates DNS by producing successively improved approximations to the immiscible two-phase Navier-Stokes equations. PLMM starts with a binary image of the porous medium and decomposes the void space into subdomains that coincide with physical pores. For each subdomain, single-phase basis functions are constructed once. Correction functions are then computed only for subdomains containing a fluid-fluid interface. Basis and correction functions are coupled through a global problem, which yields an accurate velocity field used to propagate interfaces. By treating two-phase dynamics as local perturbations to single-phase flow, PLMM adaptively localizes computations to the displacement front. Prediction errors are additionally estimated and controlled with an iterative strategy. PLMM is parallelizable and allows for different meshes, models, and physics in each subdomain.
DOI：
10.1103/physreve.90.023019
发表时间：
2014-08
期刊：
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子：
--
作者：
F. Moebius;D. Or
通讯作者：
F. Moebius;D. Or