E231 非圧縮乱流の高解像度DNSデータ解析 : 速度空間微分統計量のレイノルズ数依存性(E-23 地球シミュレータを用いた乱流の大規模計算(1),一般講演)

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  • E231 Velocity derivative statistics in direct numerical simulations of turbulence in a periodic box

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The data of high resolution direct numerical simulations (DNSs) of incompressible turbulence obeying the Navier-Stokes equations in a periodic box with the number of grid points up to 4096^3 were analyzed to study the one-point statistics of the velocity-derivatives, including probability distribution functions and the fourth-order rotational invariants I_α(α=1,2,3,4) proposed by Siggia (1981). The data suggest that the values of all four I_α(α=1,2,3,4) increase with the Reynolds number R_λ and the ratios I_α/I_l tend to constants with the increase of R_λ, and that they scale with R_λ similarly to each other for large R_λ.

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