Replication Data for: Taylor-Green Vortex Benchmark Suite

<img width="496" height="234" src=https://opencms.uni-stuttgart.de/fak4/irst/img/Veroeffentlichungen/TGVflow.png><img>
Source code, results and numerical cases in OpenFOAM's format for the Taylor-Green Vortex benchmark suite presented in <b>T. Zirwes, M. Sontheimer, F. Zhang, A. Abdelsamie, F.E. Hernandez Perez, O.T. Stein, H.G. Im, A. Kronenburg, H. Bockhorn</b>, "<i>Assessment of numerical accuracy and parallel performance of OpenFOAM and its reacting flow extension EBIdnsFoam</i>", Flow, Turbulence and Combustion, volume 111, pages 567-602, 2023, <a href=https://doi.org/10.1007/s10494-023-00449-8>https://doi.org/10.1007/s10494-023-00449-8</a>
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All simulations performed with OpenFOAM v1712 with the following cases:
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<li><b>Step 1: 2D incompressible Taylor-Green vortex</b>: Full numerical setup with all required input files to re-run the simulation with two discretization schemes: cubic interpolation and WENO4. Additionally, a sampled line of the velocity and vorticity field is included. </li>
<li><b>Step 2: 3D incompressible Taylor-Green vortex</b>: Similar to Step 1, but for the 3D case. Additionally includes source-code for a modified pimpleFoam solver that limits the time step with the Fourier number.</li>
<li><b>Step 3: 3D multi-species Taylor-Green vortex</b>: Numerical setup for a 3D Taylor-Green vortex flow with prescribed species and temperature profiles. Setup and results for both detailed diffusion and unity Lewis number diffusion models.</li>
<li><b>Step 4: 3D reacting Taylor-Green vortex</b>: Similar to step 3, but chemical reactions for hydrogen combustion are activated.</li>
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The authors gratefully acknowledge the computing time provided on the high-performance computer HoreKa by the National High-Performance Computing Center at KIT (NHR@KIT). This center is jointly supported by the Federal Ministry of Education and Research and the Ministry of Science, Research and the Arts of Baden-Württemberg, as part of the National High-Performance Computing (NHR) joint funding program (<a href=https://www.nhr-verein.de/en/our-partners>https://www.nhr-verein.de/en/our-partners</a>). HoreKa is partly funded by the German Research Foundation (DFG).

本数据集附带一张宽496像素、高234像素的图片，其链接为：https://opencms.uni-stuttgart.de/fak4/irst/img/Veroeffentlichungen/TGVflow.png

本数据集包含论文《OpenFOAM及其反应流扩展求解器EBIdnsFoam的数值精度与并行性能评估》（发表于《流动、湍流与燃烧》2023年第111卷，第567-602页，作者为T. Zirwes、M. Sontheimer、F. Zhang、A. Abdelsamie、F.E. Hernandez Perez、O.T. Stein、H.G. Im、A. Kronenburg、H. Bockhorn）中提出的泰勒-格林涡（Taylor-Green Vortex）基准测试套件的OpenFOAM格式源代码、计算结果与数值算例，附带该论文的DOI链接：https://doi.org/10.1007/s10494-023-00449-8。

所有模拟均基于OpenFOAM v1712版本开展，包含以下四类算例：
1. **步骤1：二维不可压缩泰勒-格林涡**：包含完整的数值设置与所有必要输入文件，支持通过三次插值与WENO4两种离散格式重新运行模拟，同时附带速度场与涡量场的采样线数据。
2. **步骤2：三维不可压缩泰勒-格林涡**：与步骤1类似，但针对三维场景实现，额外提供了基于傅里叶数（Fourier number）限制时间步长的修改版pimpleFoam求解器源代码。
3. **步骤3：三维多组分泰勒-格林涡**：针对带有预设组分与温度分布的三维泰勒-格林涡流场的数值设置，包含详细扩散模型与刘易斯数（Lewis number）为1的扩散模型两种情况下的设置与计算结果。
4. **步骤4：三维反应式泰勒-格林涡**：与步骤3类似，但启用了氢气燃烧的化学反应过程。

作者衷心感谢卡尔斯鲁厄理工学院国家高性能计算中心（NHR@KIT）在高性能计算机HoreKa上提供的计算资源。该中心作为国家高性能计算（NHR）联合资助计划的一部分，由德国联邦教育与研究部以及巴登-符腾堡州科学、研究与艺术部联合支持。HoreKa同时获得了德国研究基金会（DFG）的部分资助。