レイノルズ応力方程式中の消散項のモデル化

概要

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This paper presents an anisotropic dissipation term modeling for the Reynolds stress transport equation, and presents a comparison with Direct Numerical Simulation (DNS) data for three different flow systems. In the present model, the anisotropic tensor of the dissipation term is evaluated using three algebraic expressions, e^S_<ij>, e^R_<ij> and e^W_<ij>. e^S_<ij> represents the effects of only fluctuating velocity, and constitutes the anisotropic tensor of Reynolds stress. The term e^R_<ij> includes the effects of the mean velocity gradient tensor in addition to that of fluctuating velocity. e^W_<ij> is analogous to the wall term in the redistribution term for Reynolds stress equations, and reproduces near-wall behavior of the dissipation term. The present model predicts the anisotropic tensor of the dissipation term with good accuracy with respect to diagonal components. However, for non-diagonal components, the predictions are not accurate enough for all systems. Some improvements are necessary for expression of model functions.
一般社団法人日本機械学会の論文
1994-01-25