ベクトル・レベルのidentityを用いるダイナミックSGSモデリング(<小特集>:LES(ラージエディシミュレーション))

概要

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The objective of this study is to develop a dynamic subgrid scale model, for which computational results will not depend on the grid resolution. The most commonly used SGS model is based on the Smagorinsky eddy viscosity model with the model coefficient computed dynamically through the tensor level identity by Germano et al. However, the tensor level identity does not explicitly include the effect of grid resolution, and thus the computational results strongly depend on the numerical method, especially in simulation with poor resolution. In this paper, a new dynamic rocedure with the vector level identity, which takes the effect of grid resolution into consideration, was proposed. In addition, the dynamic Smagorinsky eddy viscosity model with the vector level identity was tested. All computational tests were done in the turbulent channel flow, and the Reynolds number based on the channel half width and wall friction velocity is 395. To remove the ambiguity regarding the accuracy of the finite difference scheme, the higher (up to 12th) order accurate fully conservative finite difference schemes in a staggered grid system proposed by Morinishi was used. The mean velocity profile computed using the new SGS model does not depend on the grid resolution confirmed.
社団法人日本機械学会の論文
2000-11-25