EULER EQUATIONS AND TURBULENCE: ANALYTICAL APPROACH TO INTERMITTENCY
EULER EQUATIONS AND TURBULENCE: ANALYTICAL APPROACH TO INTERMITTENCY
复制标题
DOI：
10.1137/120876447
复制
发表时间：
2014-01-01
影响因子：
2
通讯作者：
Shvydkoy, R.
中科院分区：
文献类型：
--
作者：
Cheskidov, A.;Shvydkoy, R.
在充分发展的湍流中，间歇性的物理模型采用了许多现象学概念，包括活动体积、区域、涡流和能量积累集，用于描述能量级联的非均匀性。在本文中，我们用Littlewood-Paley分析的语言赋予了这些概念精确的数学意义。我们进一步利用我们的定义恢复了能量谱和二阶结构函数的标度规律，并进行了适当的间歇校正。
Physical models of intermittency in fully developed turbulence employ many phenomenological concepts, including active volumes, regions, eddies, and energy accumulation sets, used to describe nonuniformity of the energy cascade. In this paper we give those notions a precise mathematical meaning in the language of the Littlewood-Paley analysis. We further use our definitions to recover scaling laws for the energy spectrum and second order structure function with proper intermittency correction.