Upscaling of solute plumes in periodic porous media through a trajectory based spatial Markov model - Data

Supplementary material associated with the manuscript : "Upscaling of solute plumes in periodic porous media through a trajectory based spatial Markov model" by Emanuela Bianchi Janetti, Thomas Sherman, Gael Guedon, Diogo Bolster and Giovanni Porta.
The folder '1. Input Data' contains the geometry of the unit cell (the solid and fluid phases are identified by an indicator I = 1 in the pore space and I = 0 in the solid pixel) and the fluid velocity. The folder '2. Model outputs' inlcudes the key outputs of the tSMM and their counterparts obtained with Direct Numerical Simulation, in particular: the joint propability distribution, P(x,y,t), and the marginal distributions, P(t) and P(y). The folder '3. Error Analysis' inlcudes the average Hellinger Distances evaluated for analysing the the impact of parameters NB and dt on the accuracy of the tSMM. All results are associated with Pe numbers 100 and 1000.

本补充材料对应学术论文《基于轨迹的空间马尔可夫模型求解周期多孔介质中溶质羽流的尺度放大》，作者为Emanuela Bianchi Janetti、Thomas Sherman、Gael Guedon、Diogo Bolster及Giovanni Porta。

文件夹'1. 输入数据'包含单胞的几何构型（其中固相与流相通过标识变量区分：孔隙空间内标识I=1，固体像素内标识I=0）以及流体流速数据。

文件夹'2. 模型输出'包含轨迹空间马尔可夫模型（trajectory-based Spatial Markov Model，tSMM）的核心输出结果，以及通过直接数值模拟（Direct Numerical Simulation，DNS）得到的对应结果，具体包括联合概率分布P(x,y,t)与边缘概率分布P(t)、P(y)。

文件夹'3. 误差分析'包含用于评估参数NB与dt对tSMM精度影响的平均海林格距离（Hellinger Distance）。所有结果均对应佩克莱特数（Péclet number，Pe）为100和1000的工况。