Dynamical Subgrid-Scale Parameterizations from Direct Numerical Simulations
Dynamical Subgrid-Scale Parameterizations from Direct Numerical Simulations
复制标题
直接数值模拟的动态亚网格尺度参数化
DOI：
10.1175/jas3795.1
复制
发表时间：
2006
影响因子：
3.1
通讯作者：
Steven M. Kepert
中科院分区：
文献类型：
--
作者：
J. Frederiksen;Steven M. Kepert
摘要基于正压涡度方程的直接数值模拟（DNSs）的统计数据，对二维球面湍流的随机后向散射、涡漏粘滞系数和净涡粘滞系数进行了动态亚网格尺度参数化计算。一个相对简单的方法的基础上的随机模型表示的亚网格尺度涡，但考虑到湍流涡的记忆效应，已被采用。参数化在保留尺度的截止波数处具有尖点行为，并且与基于涡阻尼准正态马尔可夫（EDQNM）和直接相互作用近似（DIA）闭合模型的参数化具有非常相似的形式。大涡模拟（LESs），将DNS为基础的亚网格尺度参数化被发现有动能谱，比较密切的高分辨率DNS的结果在LES的尺度为各向同性湍流和Rossby波湍流。那个...
Abstract Dynamical subgrid-scale parameterizations of stochastic backscatter, eddy drain viscosity, and net eddy viscosity have been formulated and calculated for two-dimensional turbulent flows on the sphere based on the statistics of direct numerical simulations (DNSs) with the barotropic vorticity equation. A relatively simple methodology based on a stochastic model representation of the subgrid-scale eddies, but which takes into account the memory effects of turbulent eddies, has been employed. The parameterizations have a cusp behavior at the cutoff wavenumber of the retained scales and have closely similar forms to those based on eddy damped quasi-normal Markovian (EDQNM) and direct interaction approximation (DIA) closure models. Large-eddy simulations (LESs) incorporating DNS-based subgrid-scale parameterizations are found to have kinetic energy spectra that compare closely with the results of higher-resolution DNS at the scales of LES for both isotropic turbulence and Rossby wave turbulence. The m...