Low-Diffusion Preconditioning Scheme for Numerical Simulation of Low-Speed Flows Past Airfoil

XIANG Qian; WU Song-ping; LEE Chun-xuan; CAO Ning

doi:10.3879/j.issn.1000-0887.2011.05.008

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XIANG Qian, WU Song-ping, LEE Chun-xuan, CAO Ning. Low-Diffusion Preconditioning Scheme for Numerical Simulation of Low-Speed Flows Past Airfoil[J]. Applied Mathematics and Mechanics, 2011, 32(5): 579-586. doi: 10.3879/j.issn.1000-0887.2011.05.008

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Low-Diffusion Preconditioning Scheme for Numerical Simulation of Low-Speed Flows Past Airfoil

doi: 10.3879/j.issn.1000-0887.2011.05.008

XIANG Qian^1,2,3,
WU Song-ping^1,2,3,
LEE Chun-xuan^1,2,3,
CAO Ning^1,2,3

1.
School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, P. R. China;

Received Date: 2011-01-25
Rev Recd Date: 2011-02-21
Publish Date: 2011-05-15

Abstract

Abstract

The reconditioning technique addresses the stiffness of low Mach number flow, while the stability was poor. Based on the conventional preconditioning method of Roe's scheme, a new low-diffusion scheme was proposed. An adjustable parameter was introduced to control the numerical dis-sipation in the new scheme, especially the over dissipation in the boundary layer and extremely low speed region. Numerical simulations of low Mach and low Reynolds number flows over a cylinder, low Mach and high Reynolds number flows over NACA0012 and NH02-18 airfoils were performed to validate the new scheme. All results of the three test cases are found to agree well with experiment data, demonstrating the applicability of the suggested scheme to low Mach number flow simulations.
- numerical simulation,
- preconditioning,
- steady flow,
- airfoil

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References(10)

References

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