On the two-point correlation of potential vorticity in rotating and stratified turbulence
On the two-point correlation of potential vorticity in rotating and stratified turbulence
复制标题
旋转和层状湍流中位涡的两点相关性
DOI：
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发表时间：
2005
影响因子：
3.7
通讯作者：
B. Wingate
中科院分区：
文献类型：
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作者：
S. Kurien;L. Smith;B. Wingate
建立了一个框架来描述由布辛尼斯克方程描述的旋转和分层湍流中位涡的两点统计。位涡的两点相关函数的动力学Kármán-Howarth方程揭示了在Rossby， Froude， Prandtl和Reynolds数参数的某些情况下存在惯性范围动力学的可能性。对于较大的Rossby数和Froude数以及准地转动力学，导出了位涡与速度三阶混合相关的2/3前因子线性标度律，其结果类似于湍流理论中三阶速度结构函数的Kolmogorov 4/5定律。
A framework is developed to describe the two-point statistics of potential vorticity in rotating and stratified turbulence as described by the Boussinesq equations. The Kármán–Howarth equation for the dynamics of the two-point correlation function of potential vorticity reveals the possibility of inertial-range dynamics in certain regimes in the Rossby, Froude, Prandtl and Reynolds number parameters. For the case of large Rossby and Froude numbers, and for the case of quasi-geostrophic dynamics, a linear scaling law with 2/3 prefactor is derived for the third-order mixed correlation between potential vorticity and velocity, a result that is analogous to the Kolmogorov 4/5-law for the third-order velocity structure function in turbulence theory.