二维各向同性湍流的Sedov型解及其应用  

Sedov-Type Solution to Two-Dimensional Isotropic Turbulence and Its Applications

作　　者：冉政[1] 万书晓[1] 

机构地区：[1]上海大学上海市应用数学和力学研究所,上海200072

出　　处：《上海大学学报（自然科学版）》2009年第6期653-658,共6页Journal of Shanghai University:Natural Science Edition

基　　金：国家自然科学基金资助项目(90816013;10572083)

摘　　要：二维各向同性湍流能量逆级串现象是湍流理论中具挑战性的问题之一,基于二维不可压缩Navier-Stokes方程的统计解,对此问题进行了讨论.研究表明,新的Sedov型解精确解对于二维各向同性湍流能量逆级串现象的刻画与数值模拟和实验结果有较好的一致性.This work provides analytical results of the two-dimensional Karman-Howarth equation.A self-similar decay of two-dimensional turbulence energy spectrum has also been determined.These expressions are a counterpart of three-dimensional turbulence.The behavior of the inverse energy cascade in a two-dimensional isotropic homogeneous turbulence can be understood from the view point of present statistical solution.

关 键 词：二维各向同性湍流 Karman-Howarth方程 精确解 能量逆级串 

分 类 号：O357.5[理学—流体力学]