全阶结构-功能方程数学
Mathematics of Structure-Function Equations of All Orders
摘要：
导出了任意阶速度结构函数与其他统计量之间的精确关系方程。“精确”是指除了假定纳维-斯托克斯方程和不可压缩性条件是精确的之外，不使用任何近似。精确的方程用于确定的结构函数方程的所有订单的局部均匀，但各向异性湍流以及局部各向同性的情况下。这些方程可用于研究局部均匀性和局部各向同性的方法，以及方程的平衡和标度范围的确定。
英文摘要：
Exact equations are derived that relate velocity structure functions of arbitrary order with other statistics. "Exact" means that no approximations are used except that the Navier-Stokes equation and incompressibility condition are assumed to be accurate. The exact equations are used to determine the structure-function equations of all orders for locally homogeneous but anisotropic turbulence as well as for the locally isotropic case. These equations can be used for investigating the approach to local homogeneity and to local isotropy as well as the balance of the equations and identification of scaling ranges.
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