非一様乱流の交差独立完結仮説による統計理論(乱流の予測とモデリング(4),一般講演)

概要

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Inhomogeneous turbulence in an incompressible viscous fluid is studied statistically using the cross-independence closure hypothesis for the equations of multi-point velocity distributions. First, the turbulent velocity field is decomposed into the mean flow and the turbulent fluctuation around the mean, and the equations for the mean velocity and the distributions of turbulent velocity are derived. Since these equations are not closed, they are closed by making use of the cross-independence hypothesis which has been successfully used for homogeneous turbulence. Closed equations have been derived for the mean velocity and the one- and two-point velocity distributions, the latter of which being expressed in terms of the velocity-sum and the velocity-difference distributions, and the normal distributions in the outer inertial range and the non-normal similarity in the local similarity range have been disclosed.
日本流体力学会の論文
2007-08-06