強い応力非等方性を考慮したレイノルズ応力モデル : 第1報,モデルの設定と平板境界層への適用

概要

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A new Reynolds stress model applicable right up to a wall is developed. The invariants of the stress anisotropy tensor are introduced to incorporate the effect of high anisotropy of turbulent stresses in the vicinity of the wall. The model constants in typical models adopted for the pressure-strain correlation are thus replaced by functions of the invariants as well as the turbulent Reynolds number. The algebraic stress approximation is then utilized to obtain relative stress levels. The form of the model functions is explored using the stress levels and finally determined by computer optimization. The coefficient of the generation term in the dissipation rate equation is also made to depend on the invariants and the Reynolds number to extend the applicability of the model. The numerical solutions for the development of a flat plate boundary layer are shown to be in good agreement with experiments including the distributions of turbulent quantities.
一般社団法人日本機械学会の論文
1988-09-25