差分法ダイナミックSGSモデルに適した等方渦粘性型SGSモデルの構築とその平板チャネル乱流における評価

概要

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Previous studies say that the dynamic Smagorinsky's model of Germano et al. using lower order finite difference method tends to overestimate the statistics of the streamwise mean velocity and streamwise turbulent intensity. The objective of our research is to develop an isotropic eddy viscosity model which mitigate this tendency as an alternative to Smagorinsky's model. The procedure proposed by Yoshizawa et al. was utilized and more consistent eddy viscosity model for the dynamic procedure was obtained. The proposed model was tested in plane turbulent channel flow at Re_t=180 and 590 normalized by friction velocity and channel half width and predicted better statistics than those of Smagorinsky's. The new model was also found to be less sensitive to the discretized filtering operation than Smagorinsky's. We investigated the organized eddy structures near the wall and revealed that the overstimation of the eddy structures by Smagorinsky's model was clearly mitigated by using the proposed model, which shows the validity of the improvement of the statistics by the new model.
一般社団法人日本機械学会の論文
2000-08-25