In the present work we show how the subgrid-scale (SGS) energy transfer among resolved scales in large eddy simulations (LESs) can be used to evaluate unknown constants in SGS models and derive new models. The essence of the method is that for a given LES velocity field energy transfers among resolved scales can be computed without reference to a particular SGS model and then used to estimate the total SGS energy transfer for an unknown, full velocity field. The total transfer becomes a physical constraint on any proposed SGS model and can be used to obtain and update model constants at each time step in actual LES, allowing self-contained simulations. The method is evaluated by implementing it in LESs of high Reynolds number isotropic turbulence and for several classical SGS modeling expressions. It is shown that the performance of models depends not only on their ability to capture the total SGS dissipation (which is enforced by the method) but also by distribution of the SGS dissipation among scales of motion (which is enforced by a model). However, the main conclusion is that a broad class of modeling expressions that only qualitatively approximate the SGS dissipation distribution among scales perform very well in LESs as long us the total dissipation constraint is satisfied. We also discuss the relation of the method to the well-known dynamic modeling procedure.

中文翻译：

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基于分辨尺度间尺度间能量转移的高雷诺数湍流大涡模拟

在当前的工作中，我们展示了如何在大涡模拟（LESs）中解析尺度之间的子网格尺度（SGS）能量转移可用于评估SGS模型中的未知常数并导出新模型。该方法的本质在于，对于给定的LES速度场，可以在不参考特定SGS模型的情况下计算分辨尺度之间的能量转移，然后将其用于估计未知的全速度场的总SGS能量转移。总传输量成为任何建议的SGS模型的物理约束，并且可用于在实际LES中的每个时间步获取和更新模型常数，从而实现独立的仿真。通过在高雷诺数各向同性湍流的LES中实施该方法并针对几种经典的SGS建模表达式，对该方法进行了评估。结果表明，模型的性能不仅取决于其捕获总SGS耗散的能力（由方法强制执行），而且还取决于SGS耗散在运动尺度之间的分布（由模型强制执行）。然而，主要结论是，只要满足总耗散约束条件，仅定性地估计尺度之间SGS耗散分布的一类建模表达式在LES中的表现都非常好。我们还将讨论该方法与众所周知的动态建模过程之间的关系。主要结论是，只要满足总耗散约束条件，就只能定性地估计尺度之间SGS耗散分布的一类建模表达式在LES中的表现非常好。我们还将讨论该方法与众所周知的动态建模过程之间的关系。主要结论是，只要满足总耗散约束条件，就只能定性地估计尺度之间SGS耗散分布的一类建模表达式在LES中的表现非常好。我们还将讨论该方法与众所周知的动态建模过程之间的关系。