低レイノルズ数乱流モデルの壁乱流における計算格子依存性

概要

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The characteristics of the near-wall grid dependency of the low-Reynolds-number linear and nonlinear eddy viscosity turbulence models have been examined in fully developed wall shear flows. The tested ten models consist of recently proposed k-ε, k-ω, q-ζ and k-ε-A_2 models. Although the recent models include complicated model functions to mimic the near-wall behaviours of turbulence quantities, they showed less sensitivity to the grid-spacing than the traditional near-wall model. These models perform very well on the grid with y^+≈2 of the first grid-node distance from the wall, whilst y^+≈4 is sufficient for some models. From the analysis of the discretization error, it has been explained that the selection of the transport variables behaving linearly near walls does not directly contribute to decreasing the grid sensitivity, but in some cases, the grid sensitivity is affected by the accuracy of the predicted behaviours of turbulence quantities. It has also been pointed out that the models with the w transport equation require adequate grid spacing near the wall which is neither too fine nor too coarse.
一般社団法人日本機械学会の論文
1998-10-25