可変精度の差分法による二次元等方性乱流の数値シミュレーション

概要

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A new variable-order finite difference method is proposed for highly accurate numerical simulation of turbulent flow. In this method, the spatial derivatives are discretized by the Taylor series expansion, and the expansion order is variable. In the present study, the central difference schemes are formed for an even expansion order, and the upwind difference schemes are formed for an odd one. The method is applied to the numerical simulation of two-dimensional isotropic turbulent flow. The numerical results are discussed on the basis of the energy spectra. They show that the present higher-and odd-order methods effectively simulate turbulent flow, and the -3rd power law of the inertial range energy spectra can be estimated.
一般社団法人日本機械学会の論文
1993-08-25