A quasinormal scale elimination model of turbulent flows with stable stratification
A quasinormal scale elimination model of turbulent flows with stable stratification
复制标题
稳定分层湍流拟正尺度消除模型
DOI：
10.1063/1.2009010
复制
发表时间：
2005
影响因子：
4.6
通讯作者：
I. Staroselsky
中科院分区：
文献类型：
--
作者：
S. Sukoriansky;B. Galperin;I. Staroselsky
本文提出了一个新的湍流谱模型。该模型是基于一个准高斯映射的速度和温度场，使用Langevin方程，并采用了小规模的模式消除，导致在一个耦合系统的微分方程的有效，水平和垂直，粘度和扩散率的递归程序。随着分层的增加，垂直粘度和扩散率被抑制，而它们的水平对应物被增强，从而明确占稳定分层引入的各向异性。新模型被用来推导稳定分层湍流的各种光谱特性。它以垂直分量的能量减少为代价来解释水平分量的能量积累。尺度消除算法明确地考虑了湍流和内波的组合效应。一个修改的色散关系的内波，一个关系…
A new spectral model for turbulent flows with stable stratification is presented. The model is based on a quasi-Gaussian mapping of the velocity and temperature fields using the Langevin equations and employs a recursive procedure of small-scale mode elimination that results in a coupled system of differential equations for effective, horizontal and vertical, viscosities and diffusivities. With increasing stratification, the vertical viscosity and diffusivity are suppressed while their horizontal counterparts are enhanced thus explicitly accounting for the anisotropy introduced by stable stratification. The new model is used to derive various spectral characteristics of stably stratified turbulent flows. It accounts for energy accumulation in the horizontal components at the expense of the energy reduction in the vertical component. The scale elimination algorithm explicitly accounts for the combined effect of turbulence and internal waves. A modified dispersion relation for internal waves, a relationship...