Fluid Mechanics and Flight Mechanics

Numerical analysis of the effect of discrete accuracy of turbulence model on numerical simulation

  • WANG Yuntao ,
  • SUN Yan ,
  • WANG Guangxue ,
  • ZHANG Yulun ,
  • LI Song
Expand
  • 1. Computational Aerodynamics Institute of China Aerodynamics Research and Development Center, Mianyang 621000, China;
    2. State Key Laboratory of Aerodynamics of China Aerodynamics Research and Development Center, Mianyang 621000, China

Received date: 2014-07-03

  Revised date: 2014-08-14

  Online published: 2014-08-26

Supported by

National Key Basic Research Program of China (2014CB744803)

Abstract

Based on the Reynolds-averaged Navier-Stokes(RANS) and structured grid technology, the effect of different discrete methods of shear stress transport (SST) turbulence model on simulation results is analyzed numerically on various grids of different first thickness cells in normal direction with fifth-order weighted compact nonlinear scheme(WCNS). The main purpose of the present work is to provide technical support for the application of high-order difference schemes in complex configurations. The models under study include low-speed NLR 7301 two-element airfoil and high-speed RAE2822 subcritical airfoil; the research work contains the influence of two-order and five-order discrete methods of the turbulence model on convergence history, the distribution of turbulent viscosity and velocity in boundary layer, pressure coefficients and aerodynamic characteristics. Compared with the experimental data, the numerical results indicate that the thickness of first cell in boundary layer and the discrete accuracy of the turbulence model affect the numerical results at low speed obviously, whereas they have little influence on those of high-speed attached flow; the high-order discrete method of the turbulence model is less sensitive to the thickness of first cell in boundary layer; higher accuracy can be obtained but suffer poorer convergence character compared with low-order discrete method of the turbulence model.

Cite this article

WANG Yuntao , SUN Yan , WANG Guangxue , ZHANG Yulun , LI Song . Numerical analysis of the effect of discrete accuracy of turbulence model on numerical simulation[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2015 , 36(5) : 1453 -1459 . DOI: 10.7527/S1000-6893.2014.0191

References

[1] Rumsey C L, Ying S X. Prediction of high lift: review of present CFD capability[J]. Progress in Aerospace Sciences, 2002, 38: 145-180.
[2] Zhu Z Q, Chen Y C, Wu Z C, et al. Numerical simulation of high lift system configuration [J]. Acta Aeronautica et Astronautica Sinica, 2005, 26(3): 257-262(in Chinese). 朱自强, 陈迎春, 吴宗成, 等. 高升力系统外形的数值模拟计算[J]. 航空学报, 2005, 26(3): 257-262.
[3] Vassberg J C, Tinoco E N, Mani M. Comparison of NTF experimental data with CFD predictions from the third AIAA-CFD drag prediction workshop, AIAA-2008-6918[R]. Reston: AIAA, 2008.
[4] Vassberg J C, Tinoco E N, Mani M, et al. Summary of the fourth AIAA CFD drag prediction workshop, AIAA-2010-4547[R]. Reston: AIAA, 2010.
[5] Rumsey C L, Long M, Stuever R A. Summary of the first AIAA CFD high lift prediction workshop (invited), AIAA-2011-0939[R]. Reston: AIAA, 2011.
[6] Visbal R M, Gaitonde D V. On the use of higher-order finite-difference schemes on curvilinear and deforming meshes[J]. Journal Computational Physics, 2002, 181:155-185.
[7] Nonomura T, Iizuka N, Fujii K. Freestream and votex preservation properties of high-order WENO and WCNS on curvilinear grids[J]. Computers & Fluids, 2010, 39:197-214.
[8] Menter F R. Two-equation eddy-viscosity turbulence models for engineering application[J]. AIAA Journal, 1994, 32(8): 1598-1605.
[9] Menter F R, Langtry R B. Correlation-based transition modeling for unstructured parallelized computational fluid dynamics codes[J]. AIAA Journal, 2009, 47(12):2894-2906.
[10] Deng X G, Zhang H X. Developing high-order weighted compact nonlinear schemes[J]. Journal Computational Physics, 2000, 165: 24-44.
[11] Deng X G, Mao M L, Tu G H, et al. Geometric conservation law and application to high-order finite difference scheme with stationary grid[J]. Journal Computational Physics, 2011, 230: 1100-1115.
[12] Deng X G, Min R B, Mao M L, et al. Further studies on geometric conservation law and application to high-order finite difference scheme with stationary grid[J]. Journal Computational Physics, 2013, 239: 90-111.
[13] Wang G X, Deng X G, Liu H Y, et al. Application of high-order scheme(WCNS) at high angles of incidence for delta wing[J]. Acta Aerodynamica Sinica, 2012, 30(1):28-33 (in Chinese). 王光学, 邓小刚, 刘化勇, 等. 高阶精度格式WCNS在三角翼大攻角模拟中的应用研究[J]. 空气动力学学报, 2012, 30(1): 28-33.
[14] Li S, Wang G X, Zhang Y L, et al. Numerical simulation of trapezoidal wing high lift configuration with WCNS-E-5 scheme[J]. Acta Aerodynamica Sinica, 2014, 32(4): 439-445 (in Chinese). 李松, 王光学, 张玉伦, 等. WCNS格式在梯形翼高升力构型模拟中的应用研究[J]. 空气动力学学报, 2014, 32(4):439-445.
[15] van den Berg B. Boundary layer measurements on a two-dimensional wing with flap, NLR TR 79009 U[R]. Amsterdam: NLR, 1979.
[16] Barche J, Binjon T W, Winter K G, et al. Experimental database for computer program assessment-report of the fluid dynamics panel working group 04, AGARD-AR-138[R]. London: Technical Editing and Reproduction Ltd, 1979.
[17] Meng D H, Zhang Y L, Wang G X, et al. Application of γ-Reθ transition model to two-dimensional low speed flows[J]. Acta Aeronautica et Astronautica Sinica, 2011, 32(5): 792-801(in Chinese). 孟德虹, 张玉伦, 王光学, 等.γ-Reθ转捩模型在二维低速问题中的应用[J]. 航空学报, 2011, 32(5): 792-801.

Outlines

/