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The Taylor–Green vortex as a benchmark for high-fidelity combustion simulations using low-Mach solvers
Computers & Fluids ( IF 2.8 ) Pub Date : 2021-04-02 , DOI: 10.1016/j.compfluid.2021.104935
Abouelmagd Abdelsamie , Ghislain Lartigue , Christos E. Frouzakis , Dominique Thévenin

Verification and validation are crucial steps for the development of any numerical model. While suitable processes have been established for commercial Computational Fluid Dynamics (CFD) codes, more difficult challenges must be faced for high-fidelity solvers. Benchmarks have been proposed in a series of dedicated conferences for non-reacting configurations. However, to our knowledge, no suitable approach has been proposed regarding turbulent reacting flows. The purpose of this article is to present a full verification and validation chain for high-resolution codes employed to simulate turbulent reacting flows, first for Direct Numerical Simulation (DNS) of combustion in the limit of low Mach numbers. The selected configuration builds on top of the Taylor–Green vortex. Verification takes place by comparison with the analytical solution in two dimensions. Validation of the single-component flow is ensured by comparisons with published results obtained with a pseudo-spectral code. Mixing without reaction is then considered, before computing finally a hydrogen-oxygen flame interacting with a 3-D Taylor-Green vortex. Three low-Mach number DNS solvers have been used for this study, demonstrating that the final accuracy of the simulations is of the order of 1% for all quantities considered. All data-sets are publicly available under [1]. The performance of the codes is finally discussed, both in terms of single-node results and regarding parallel efficiency.



中文翻译:

泰勒-格林涡旋是使用低马赫数解算器进行高保真燃烧模拟的基准

验证和确认是开发任何数值模型的关键步骤。尽管已经为商业计算流体动力学(CFD)代码建立了合适的过程,但高保真解算器必须面对更艰巨的挑战。在非反应性配置的一系列专门会议中提出了基准。然而,据我们所知,尚未提出关于湍流反应流的合适方法。本文的目的是为用于模拟湍流反应流的高分辨率代码提供完整的验证和确认链,首先针对在低马赫数范围内的燃烧直接数值模拟(DNS)。所选配置建立在泰勒-格林涡旋之上。通过在二维上与分析解决方案进行比较来进行验证。通过与使用伪光谱代码获得的已发布结果进行比较,可以确保单组分流的有效性。在最终计算出氢氧火焰与3-D Taylor-Green涡旋相互作用之前,应考虑不进行反应的混合。这项研究使用了三个低马赫数DNS求解器,这表明对于所有考虑的数量,模拟的最终精度约为1%。所有数据集均可在[1]下公开获得。最后,从单节点结果以及关于并行效率的角度讨论了代码的性能。在最终计算出氢氧火焰与3-D Taylor-Green涡旋相互作用之前,应考虑不进行反应的混合。这项研究使用了三个低马赫数DNS求解器,这表明对于所有考虑的数量,模拟的最终精度约为1%。所有数据集均可在[1]下公开获得。最后,从单节点结果以及关于并行效率的角度讨论了代码的性能。在最终计算出氢氧火焰与3-D Taylor-Green涡旋相互作用之前,应考虑不进行反应的混合。这项研究使用了三个低马赫数DNS求解器,这表明对于所有考虑的数量,模拟的最终精度约为1%。所有数据集均可在[1]下公开获得。最后,从单节点结果以及关于并行效率的角度讨论了代码的性能。

更新日期:2021-04-11
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