低マッハ数圧縮性流れの非定常数値計算に対する完全保存形差分スキーム(流体工学,流体機械)

概要

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A fully conservative finite difference scheme suitable for variable density low-Mach number flow is proposed. Commutable set of divergence, advective, and skew-symmetric forms of convection is defined by including the temporal derivative term. The schemes for the convection forms are equivalent if the discrete continuity is satisfied, and the scheme for skew-symmetric form is secondary conservative without the aid of the continuity, while the one for divergence form is primary conservative. In order to check the fully conservation property of the proposed scheme, a numerical test was done on a three-dimensional periodic inviscid flow. The computational results have shown that the commutable and energy conservation errors for the proposed scheme are in the order of round-off error of computer. The DNS of compressible isotropic turbulence demonstrates the reliability of the proposed scheme for viscous flow.
2009-11-25