Low-diffusion preconditioning scheme for numerical simulation of low-speed flows past airfoil

Abstract：The preconditioning technique can address the stiffness of a low Mach number flow, while its stability is poor. Based on the conventional preconditioning method of Roes scheme, a low-diffusion scheme is proposed. An adjustable parameter is introduced to control numerical dissipation, especially over the dissipation in the boundary layer and extremely in a low speed region. Numerical simulations of the low Mach number and low Reynolds number flows past a cylinder and the low Mach number and high Reynolds number flows past NACA0012 and S809 airfoils are performed to validate the new scheme.Results of the three tests well agree with experimental data, showing the applicability of the proposed scheme to low Mach number flow simulations. 作者： Author： Qian XIANG  Song-ping WU  Chun-hian LEE  Ning CAO 作者單位： School of Aeronautic Science and Engineering, Beihang University, Beijing 100191, P. R. China;National Laboratory for Computational Fluid Dynamics, Beihang University, Beijing 100191, P. R. China;Ministry of Education Key Laboratory of Fluid Mechanics, Beihang University, Beijing 100191, P. R. China 期 刊： 應用數學和力學（英文版）   EISCI Journal： APPLIED MATHEMATICS AND MECHANICS 年，卷(期)： 2011, 32(5) 分類號： V211.3 Keywords： numerical simulation    preconditioning    steady flow    airfoil    機標分類號： TP2 O24 機標關鍵詞： Mach number    preconditioning technique    Numerical simulations    numerical dissipation    high Reynolds number    low Reynolds number    experimental data    boundary layer    conventional    especially    method of    NACA0012    flow    control    three    Based    Roe    new 基金項目： the National Basic Research Program of China(973Program)

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