论文标题
同步数据的湍流模型与数据同步
Synchronizing subgrid scale models of turbulence to data
论文作者
论文摘要
湍流的大型涡流模拟是许多工程和地球物理设置中使用的强大工具。为其子网格量表模型选择自由参数的正确值是一个至关重要的任务，当前方法列出了几个缺点。使用一种称为nuding的技术，我们表明大型涡流模拟可以同步来自来自高分辨率的直接数值模拟和各向同性湍流的直接数值模拟。此外，我们发现同步的程度取决于所使用的子网格量表模型的参数的值，这表明可以将nuding用作选择模型的最佳参数的方式。例如，我们表明，对于Smagorinsky模型同步而言，当它的常规值为$ 0.16 $时，它的同步是最佳的。分析同步动力学将重点放在相位空间中的重建轨迹上，这与传统的大涡模拟后的后验测试相反，在该测试中，比较了流量的统计数据。这些结果开辟了在大型涡流模拟的后验测试中利用非统计分析的可能性。
Large Eddy Simulations of turbulent flows are powerful tools used in many engineering and geophysical settings. Choosing the right value of the free parameters for their subgrid scale models is a crucial task for which the current methods present several shortcomings. Using a technique called nudging we show that Large Eddy Simulations can synchronize to data coming from a high-resolution direct numerical simulation of homogeneous and isotropic turbulence. Furthermore, we found that the degree of synchronization is dependent on the value of the parameters of the subgrid scale models utilized, suggesting that nudging can be used as a way to select the best parameters for a model. For example, we show that for the Smagorinsky model synchronization is optimal when its constant takes the usual value of $0.16$. Analyzing synchronization dynamics puts the focus on reconstructing trajectories in phase space, contrary to traditional a posteriori tests of Large Eddy Simulations where the statistics of the flows are compared. These results open up the possibility of utilizing non-statistical analysis in a posteriori tests of Large Eddy Simulations.
