Velocity, density and energy budget statistics from the article: Validation and application of the lattice Boltzmann algorithm for a turbulent immiscible Rayleigh-Taylor system

We develop a multicomponent lattice Boltzmann (LB) model for the 2D Rayleigh--Taylor turbulence with a Shan-Chen pseudopotential implemented on GPUs. Accuracy of the LB model is tested both for early and late stages of instability. For the developed turbulent motion we analyze the balance between different terms describing variations of the kinetic and potential energies. Then, we analyze the role of interface in the energy balance, and also the effects of the vorticity induced by the interface in the energy dissipation. Statistical properties are compared for miscible and immiscible flows.

In this Dataset, we have included the files for the statistics of the energy budget for the miscible and immiscible Rayleigh-Taylor flows studied in the referred article.

We also included the examples of the density and velocity fields showed in the Figures 1 and 2 of the article.

Methods
The data includes information for the analysis of the energy budget for miscible and immiscible Rayleigh-Taylor flows described in the referred article.  These files are in the format .mat. Each file is a matrix with 10 rows and 89 columns, corresponding to 10 simulations and 89.000 time steps respectively.  The statistics were obtained from solutions given by the Shan-Chen multicomponent lattice Boltzmann method.

Examples of density and velocity fields for miscible and immiscible Rayleigh-Taylor flows in linear, non-linear and self-similar regimes are also included.

本研究针对二维瑞利-泰勒（Rayleigh-Taylor）湍流，构建了一种基于图形处理器（GPUs）实现Shan-Chen伪势的多组分格子玻尔兹曼（lattice Boltzmann, LB）模型。针对该LB模型的精度，我们分别在不稳定性的早期与晚期阶段进行了验证。针对生成的湍流运动，我们分析了描述动能与势能变化的各分项间的平衡关系；随后，我们探究了界面在能量平衡中的作用，以及界面诱导的涡量对能量耗散的影响。此外，我们还对比了可混溶与不可混溶流动的统计特性。

本数据集包含已发表论文中所研究的可混溶与不可混溶瑞利-泰勒流动的能量收支统计文件，同时还收录了论文中图1与图2所示的密度场与速度场示例。

### 方法
本数据集包含已发表论文中所描述的可混溶与不可混溶瑞利-泰勒流动的能量收支分析相关数据。所有数据文件均采用.mat格式存储。每个文件为10行×89列的矩阵，分别对应10组模拟算例与89000个时间步长。该统计数据由Shan-Chen多组分格子玻尔兹曼方法的求解结果计算得到。

本数据集还收录了处于线性、非线性及自相似流动阶段的可混溶与不可混溶瑞利-泰勒流动的密度场与速度场示例。