Effect of a Nonlinear Constitutive Relation for Turbulence Modeling on Predicting Flow Separation at Wing-Body Juncture of Transonic Commercial Aircraft

This paper presents an improvement in numerical prediction of aerodynamic characteristics for transonic commercial aircraft using the Reynolds-averaged Navier-Stokes equations. With turbulence models base on the Boussinesq eddy-viscosity approximation, the shock-induced flow-separation at wing-body juncture-corner is sometimes overestimated at higher angle-of-attack, which often results in wrong prediction of aerodynamic force and moment of aircraft. To improve it, we focus on effect of anisotropy in the Reynolds stress at the corner flow. A simple nonlinear constitutive relation is employed to introduce the anisotropy of the Reynolds stress for the turbulence models. The obtained results show that the size of the flow separation considerably shrinks with the nonlinear model and fairly good comparison with experimental results. The detailed flow in boundary-layer at the corner is discussed for better understanding of physics that results in the improvement of prediction.

[1]  P. Spalart Strategies for turbulence modelling and simulations , 2000 .

[2]  Joseph Morrison,et al.  Statistical Analysis of CFD Solutions from the Fifth AIAA Drag Prediction Workshop , 2013 .

[3]  P. Roe Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes , 1997 .

[4]  G. D. van Albada,et al.  A comparative study of computational methods in cosmic gas dynamics , 1982 .

[5]  Eiji Shima,et al.  CFD Sensitivity of Drag Prediction on DLR-F6 Configuration by Structured Method and Unstructured Method , 2004 .

[6]  Edward N. Tinoco,et al.  Summary of the Fourth AIAA CFD Drag Prediction Workshop , 2010 .

[7]  D. Wilcox Turbulence modeling for CFD , 1993 .

[8]  Edward N. Tinoco,et al.  Grid Quality and Resolution Issues from the Drag Prediction Workshop Series , 2008 .

[9]  Joseph H. Morrison Statistical Analysis of CFD Solutions from the Fourth AIAA Drag Prediction Workshop , 2010 .

[10]  Michael J. Hemsch,et al.  Statistical Analysis of Computational Fluid Dynamics Solutions from the Drag Prediction Workshop , 2004 .

[11]  Kazuomi Yamamoto,et al.  Comparison Study of Drag Prediction by Structured and Unstructured Mesh Method , 2008 .

[12]  Melissa B. Rivers,et al.  Experimental Investigation of the NASA Common Research Model , 2014 .

[13]  A. Hellsten,et al.  New Advanced k-w Turbulence Model for High-Lift Aerodynamics , 2004 .

[14]  Kazuomi Yamamoto,et al.  Comparison Study of Drag Prediction for the 4th CFD Drag Prediction Workshop using Structured and Unstructured Mesh Methods , 2010 .

[15]  Z. Lei Effect of RANS Turbulence Models on Computation of Vortical Flow over Wing-Body Configuration , 2005 .

[16]  P. Spalart A One-Equation Turbulence Model for Aerodynamic Flows , 1992 .

[17]  Edward N. Tinoco,et al.  Data Summary from Second AIAA Computational Fluid Dynamics Drag Prediction Workshop , 2003 .

[18]  Takashi Yamane,et al.  The Development of the UPACS CFD Environment , 2003, ISHPC.

[19]  John C. Vassberg,et al.  Development of a Common Research Model for Applied CFD Validation Studies , 2008 .

[20]  Melissa B. Rivers,et al.  Experimental Investigations of the NASA Common Research Model in the NASA Langley National Transonic Facility and NASA Ames 11-Ft Transonic Wind Tunnel (Invited) , 2011 .

[21]  Christopher L. Rumsey,et al.  Summary of EASM Turbulence Models in CFL3D With Validation Test Cases , 2003 .

[22]  F. Menter Improved two-equation k-omega turbulence models for aerodynamic flows , 1992 .

[23]  Michael J. Hemsch,et al.  Statistical Analysis of CFD Solutions from the Drag Prediction Workshop , 2002 .

[24]  Edward N. Tinoco,et al.  Abridged Summary of the Third AIAA Computational Fluid Dynamics Drag Prediction Workshop , 2008 .

[25]  Kazuhiro Nakahashi,et al.  Some challenges of realistic flow simulations by unstructured grid CFD , 2003 .

[26]  Craig A. Hunter,et al.  Support System Effects on the NASA Common Research Model , 2012 .

[27]  J. Dacles-Mariani,et al.  Numerical/experimental study of a wingtip vortex in the near field , 1995 .

[28]  Edward N. Tinoco,et al.  Comparison of NTF Experimental Data with CFD Predictions from the Third AIAA CFD Drag Prediction Workshop , 2008 .