Numerical investigation of structural geometric nonlinearity effect in high-aspect-ratio wing using CFD/CSD coupled approach

Abstract An efficient and robust fluid–structure coupled methodology has been developed to investigate the linear and non-linear static aeroelastic behavior of flexible high-aspect-ratio wing. A three-dimensional open source finite element solver has been loosely coupled with an in-house Reynolds-averaged Navier–Stokes solver, designed for hybrid-unstructured meshes, to perform aero-structural coupled simulations. For volume mesh deformation and two-way data interpolation over non-matching grids interface, a radial basis function methodology combined with a data reduction algorithm has been used. This technique is efficient in handling large deflections and provides high-quality deformed meshes. Structural geometric nonlinearity has been considered to predict the deformations in the vertical and torsional directions caused by gravitational and aerodynamic loading. A multi-material finite element model has been generated to match the experimental configuration. Computational aeroelastic simulations were performed on an experimental high-aspect-ratio aeroelastic wing model with a slender body at the tip to get non-linear static deflections, twist and structure natural frequencies. The effect of the geometric nonlinearity is significant for large deformation analysis and has been highlighted in the predicted maximum tip deflection and twist. Good qualitative and quantitative agreement has been achieved between the predicted results and the available experimental data.

[1]  Gang Wang,et al.  Application and validation of HUNS3D flow solver for aerodynamic drag prediction cases , 2013, Proceedings of 2013 10th International Bhurban Conference on Applied Sciences & Technology (IBCAST).

[2]  K. Bathe,et al.  Large displacement analysis of three‐dimensional beam structures , 1979 .

[3]  Joseph A. Garcia,et al.  A numerical investigation of nonlinear aeroelastic effects on flexible high aspect ratio wings , 2002 .

[4]  D. Hodges A mixed variational formulation based on exact intrinsic equations for dynamics of moving beams , 1990 .

[5]  Gang Wang,et al.  Simulation of Flow Separation at the Wing-Body Junction with Different Fairings , 2007 .

[6]  Stefano Ubertini,et al.  A partitioned approach for two-dimensional fluid–structure interaction problems by a coupled lattice Boltzmann-finite element method with immersed boundary , 2014 .

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

[8]  David M. Schuster,et al.  Computational Aeroelasticity: Success, Progress, Challenge , 2003 .

[9]  Dewey H. Hodges,et al.  On the importance of aerodynamic and structural geometrical nonlinearities in aeroelastic behavior of high-aspect-ratio wings $ , 2004 .

[10]  Holger Wendland,et al.  Scattered Data Approximation: Conditionally positive definite functions , 2004 .

[11]  Earl H. Dowell,et al.  Comparison of Theoretical Structural Models with Experiment for a High-Aspect-Ratio Aeroelastic Wing , 2009 .

[12]  Earl H. Dowell,et al.  Experimental and Theoretical Study on Aeroelastic Response of High-Aspect-Ratio Wings , 2001 .

[13]  In Lee,et al.  Efficient Numerical Aeroelastic Analysis of a High-Aspect-Ratio Wing Considering Geometric Nonlinearity , 2010 .

[14]  Jinglong Han,et al.  Numerical investigation of the effects of structural geometric and material nonlinearities on limit-cycle oscillation of a cropped delta wing , 2011 .

[15]  Carlos E. S. Cesnik,et al.  Nonlinear Aeroelasticity and Flight Dynamics of High-Altitude Long-Endurance Aircraft , 2001 .

[16]  M. Liou A Sequel to AUSM , 1996 .

[17]  A. Jameson,et al.  Numerical solution of the Euler equations by finite volume methods using Runge Kutta time stepping schemes , 1981 .

[18]  Dewey H. Hodges,et al.  CFD-BASED ANALYSIS OF NONLINEAR AEROELASTIC BEHAVIOR OF HIGH-ASPECT RATIO WINGS , 2001 .

[19]  Gang Wang,et al.  Improved Point Selection Method for Hybrid-Unstructured Mesh Deformation Using Radial Basis Functions , 2013 .

[20]  Yuewen Jiang,et al.  An Improved LU-SGS Implicit Scheme for High Reynolds Number Flow Computations on Hybrid Unstructured Mesh , 2012 .

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

[22]  Floyd Johnson,et al.  Sensor Craft - Tomorrow's eyes and ears of the Warfighter , 2001 .

[23]  Chunhua Sheng,et al.  Efficient Mesh Deformation Using Radial Basis Functions on Unstructured Meshes , 2013 .

[24]  Carlos E. S. Cesnik,et al.  Limit-cycle oscillations in high-aspect-ratio wings , 2002 .

[25]  Peter J. Attar,et al.  High-fidelity aeroelastic computations of a flapping wing with spanwise flexibility , 2011 .

[26]  Ramji Kamakoti,et al.  Fluid–structure interaction for aeroelastic applications , 2004 .

[27]  Marthinus C. Van Schoor,et al.  Aeroelastic characteristics of a highly flexible aircraft , 1990 .