高次精度差分法による二次元一様等方性乱流の直接数値計算 : スペクトル法との比較

概要

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Computations of 2-dimensional homogeneous isotropic turbulence by the spectral method and the higher-order finite difference scheme (FDS) have been conducted with the grids of 128×128 and 64×64. The energy spectrum obtained by the FDS is compared with that obtained by the spectral method to investigate the effect of discretization. From these studies, the following conclusions are obtained. (1) As for the discretization of the nonlinear term, with the 128×128 grids, the energy spectrum obtained by the 5th-order upwind FDS coincides with that obtained by the spectral method up to the cutoff wave number, while the 3rd-order upwind FDS shows deflection. (2) With the 64×64 grids, the 5th-order upwind FDS is still valid for DNS, while the 6th-order central FDS requires the use of dealiasing operation or energy-conserving form for the nonlinear term. (3) With the nonlinear term discretized by the 5th-order upwind FDS, the 4th-order FDS is adequate for the diffusion term.
一般社団法人日本機械学会の論文
1994-06-25