无网格法耦合RNGk-ε湍流模型在亚、跨声速翼型黏性绕流中的数值模拟

doi:10.7527/S1000-6893.2014.0120

Abstract

Abstract:

In the present paper, the moving least square meshless method is used to solve Reynolds-averaged Navier-Stokes equations with RNG (Re-Normalisation Group) k-ε turbulence model. The flux is calculated by AUSM (Advection Upstream Splitting Method)⁺-up scheme; the moving least square method with cloud of points reconstruction technology, which can obtain good results from highly anisotropic cloud of points, is adopted to fit the spatial derivative, and the third order SSP (Strong Stability Preserving) Runge-Kutta scheme is used for the time advance to solve the discrete format control equation. Based on this, the subsonic and transonic viscous flow field around NACA0012 and RAE2822 airfoils is simulated. According to the numerical simulation results, the pressure coefficient distribution curves of the airfoil surface and the Mach number contours are presented, and the mean velocity profiles of the boundary layer at different locations are also investigated. The simulation results produced by the present work show a good agreement with the experiment results as well as other numerical simulation results, which means the method proposed in the present paper can successfully simulate the subsonic and transonic viscous flow around airfoil and also verify the effectiveness of the algorithm. What's more, the present work can also expand the way of meshless method to solve the turbulent flow.

Key words: meshless method, turbulent, cloud of point reconstruction, moving least square, anisotropic cloud of points

CLC Number:

V211.3

WANG Yuanding, TAN Junjie, CAI Xiaowei, REN Dengfeng, MA Xinjian. Numerical simulation of subsonic and transonic viscous flow around airfoil using meshless method coupled with RNG k-ε turbulent model[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2015, 36(5): 1411-1421.

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Numerical simulation of subsonic and transonic viscous flow around airfoil using meshless method coupled with RNG k-ε turbulent model

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