The connection between anomalous scaling of structure functions(intermittency) and numerical methods for turbulence simulations is discussed.It is argued that the computational work for direct numerical simulations (DNS)of fully developed turbulence increases as $Re^{4}$, and not as $Re^{3}$expected from Kolmogorov's theory, where $Re$ is a large-scale Reynolds number.Various relations for the moments of acceleration and velocity derivatives arederived. An infinite set of exact constraints on dynamically consistent subgridmodels for Large Eddy Simulations (LES) is derived from the Navier-Stokesequations, and some problems of principle associated with existing LES modelsare highlighted.
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机译：讨论了结构函数的异常缩放（间歇性）与湍流模拟的数值方法之间的联系。认为完全展开的湍流的直接数值模拟（DNS）的计算工作随着$ Re ^ {4} $的增加而增加。如$ Re ^ {3} $从Kolmogorov的理论所预期的那样，其中$ Re $是一个大规模的雷诺数。得出了加速度和速度导数的矩的各种关系。从Navier-Stokesequations导出了用于大涡模拟（LES）的动态一致子网格模型的无限精确约束集，并着重强调了与现有LES模型相关的一些原理问题。
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