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Applied Mathematics and Mechanics (English Edition) ›› 2011, Vol. 32 ›› Issue (5): 613-620.doi: https://doi.org/10.1007/s10483-011-1443-8

• Articles • 上一篇    下一篇

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

相倩1,2,3 吴颂平1,2,3 李椿萱1,2,3 曹宁1,2,3   

  1. 1. School of Aeronautic Science and Engineering, Beihang University, Beijing 100191, P. R. China;
    2. National Laboratory for Computational Fluid Dynamics, Beihang University, Beijing 100191, P. R. China;
    3. Ministry of Education Key Laboratory of Fluid Mechanics, Beihang University, Beijing 100191, P. R. China
  • 收稿日期:2011-01-25 修回日期:2011-02-21 出版日期:2011-04-27 发布日期:2011-05-01

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

XIANG Qian1,2,3, WU Song-Ping1,2,3, LI Chun-Xuan1,2,3, CAO Ning1,2,3   

  1. 1. School of Aeronautic Science and Engineering, Beihang University, Beijing 100191, P. R. China;
    2. National Laboratory for Computational Fluid Dynamics, Beihang University, Beijing 100191, P. R. China;
    3. Ministry of Education Key Laboratory of Fluid Mechanics, Beihang University, Beijing 100191, P. R. China
  • Received:2011-01-25 Revised:2011-02-21 Online:2011-04-27 Published:2011-05-01

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摘要： 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 Roe’s 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.

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 Roe’s 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.

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