论文标题
基于色散分析的多组分反应流动的操作员非局部性对封闭的影响
Effects of operator nonlocality on closures for multicomponent reactive flows based on dispersion analysis
论文作者
论文摘要
这项工作介绍了具有与未解决的对流传输和非线性反应项相关的空间非局部运算符的代数闭合模型。特别地，通过扩展最初在泰勒量表散布下为二元反应开发的分析，通过扩展最初针对二元反应的分析来检查两个物种的系统。这项工作从分散理论的弱非线性扩展中扩展了模型形式，并通过分析表达来研究和捕获非局部性在反应存在中的作用。可以将这些表达式纳入涡流扩散率矩阵中，该基质明确捕获化学动力学和流动条件对闭合算子的影响，我们证明，在层状上下文中得出的模型形式可以直接转化为在同质性各向同性湍流中的类似设置，该模型具有类似的同型湍流，其含义是作为亚晶尺度模型的含义。我们表明，与以前的纯本地结果相比，该框架可以改善平均数量的预测，但并未完全关闭未解决的术语。
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.
