基于频散分析的算子非定域性对多组分反应流封闭性的影响
Effects of operator nonlocality on closures for multicomponent reactive flows based on dispersion analysis
摘要：
在这项工作中，代数封闭模型与空间非局部运营商，与未解决的平流传输和非线性反应项在一个平均的Navier-Stokes上下文。特别是，一个系统的两个物种的二元反应和运输的平流和扩散的研究扩展后，最初开发的二元反应的泰勒色散标量的背景下分析。这项工作扩展模型的形式，从弱非线性扩展的色散理论和非局部性的作用，在反应的存在下进行了研究和捕获的解析表达式。这些表达式可以被纳入到一个涡流扩散矩阵，明确捕获的化学动力学和流动条件的封闭运营商的影响，我们证明，在层流的情况下，导出的模型形式可以直接翻译到一个类似的设置在均匀的各向同性湍流，这具有作为一个亚网格尺度模型的影响。我们表明，这个框架可以提高预测的平均数量相比，以前的纯本地的结果，但没有完全关闭未解决的条款。
英文摘要：
Algebraic closure models with spatially nonlocal operators that are associated with both unresolved advective transport and nonlinear reaction terms in a Reynolds-averaged Navier-Stokes context are presented in this work. In particular, a system of two species subject to binary reaction and transport by advection and diffusion are examined by expanding upon analysis originally developed for binary reactions in the context of Taylor dispersion of scalars. This work extends model forms from weakly-nonlinear extensions of that dispersion theory and the role of nonlocality in the presence of reactions is studied and captured by analytic expressions. These expressions can be incorporated into an eddy diffusivity matrix that explicitly capture the influence of chemical kinetics and flow conditions on the closure operators and we demonstrate that the model form derived in a laminar context can be directly translated to an analogous setup in homogeneous isotropic turbulence, which has implications as a subgrid scale model. We show that this framework can improve prediction of mean quantities compared to previous purely local results, but does not fully close unresolved terms.
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