Abstract
Mesh deformation and data interpolation using radial basis functions (RBF) in combination with data reduction greedy algorithm has proven to be an efficient method, both in providing high quality deformed meshes and speed up computations. In the present work an in-house hybrid unstructured Reynolds-averaged Navier-Stokes solver (HUNS3D) has been extended to include dynamic mesh motion and aeroelastic behavior prediction. For present computational aeroelastic simulations, RBF interpolation serves as single subroutine and carries out the required data interpolation for both the surface loads and deformations. For mesh motion and displacement interpolation the already developed RBF interpolation methods works reasonably well. But for interpolation of aerodynamic loads the current procedures become expensive in terms of computational time and are greatly influenced by the parameters used in the interpolation. In this paper a more efficient and robust method is presented that localizes the interpolation. This method resembles in concept to the pointwise form of partition of unity method but somewhat differs in its implementation. It is efficient in terms of computational time and can be readily parallelized. Also it reduces the influence of the interpolation parameters on the coupling behavior. The proposed method has been tested by performing static aeroelastic computations in transonic flow over the AGARD 445.6 wing, HIRENASD wing/body configuration and a flexible wing with spar-rib-skin construction. The method has shown its effectiveness in aeroelastic behavior prediction for different aerodynamic configurations.
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David, M.S., Liu, D.D., Lawrence, J.H.: Computational Aeroelasticity: Success, Progress, Challenge. Journal of Aircraft 40(5) (September-October 2003)
Wendland, H.: Hybrid Methods for Fluid-Structure-Interaction Problems in Aeroelasticity. In: Meshfree Methods for Partial Differential Equations. Lecture Notes in Computational Science and Engineering, vol. 65, pp. 335–358. Springer, Heidelberg (2008)
Bendiksen, O.O.: Modern developments in aeroelasticity. Proceedings of the Institute of Mechanical Engineers Part G: Journal of Aerospace Engineering 218, 157–177 (2004)
Hubner, B., Walhorn, E., Dinkler, D.: A monolithic approach to fluid–structure interaction using space-time finite elements. Computer Methods in Appied Mechanics and Engineering 193, 2087–2104 (2004)
Woodgate, M.A., Badcock, K.J., Rampurawala, A.M., Richards, B.: Aeroelastic calculations for the Hawk aircraft using the Euler equations. Journal of Aircraft 42(4), 1005–1011 (2005)
Geuzaine, P., Brown, G., Harris, C., Farhat, C.: Aeroelastic dynamic analysis of a full F-16 configuration for various flight conditions. AIAA Journal 41(3), 363–371 (2003)
Guruswamy, G.P.: A New Modular Approach for Tightly Coupled Fluid/Structure Analysis. International Journal of Aerospace Innovations 1(1) (2009)
Ramji, K., Wei, S.: Fluid–structure interaction for aeroelastic applications. Progress in Aerospace Sciences 40, 535–558 (2005)
Manoj, K.B.: A CFD/CSD interaction methodology for aircraft wings. Phd thesis, Virginia Polytechnic Institute and State University (1997)
Batina, J.T.: Unsteady Euler Algorithm with Unstructured Dynamic Mesh for Complex-Aircraft Aerodynamics Analysis. AIAA Journal 29(3), 327–333 (1991)
Liu, X., Qin, N., Xia, H.: Fast Dynamic Grid Deformation based on Delaunay Graph Mapping. Journal of Computational Physics 211(2), 405–423 (2006)
Cizmas, P., Gargoloff, J.: Mesh generation and deformation algorithm for aeroelasticity simulations. In: 45th Aerospace Sciences Meeting, Reno, NV, AIAA-2007-556 (2007)
Maman, N., Farhat, C.: Matching fluid and structure meshes for aeroelastic computations: A parallel approach. Computers and Structures 54(4), 779–785 (1995)
Pidparti, R.M.V.: Structural and aerodynamic data transformation using inverse isoparametric mapping. Journal of Aircraft 29(3), 507–509 (1992)
Chen, P.C., Jadic, I.: Interfacing of fluid and structural models via innovative structural boundary element method. AIAA Journal 1998 36(2), 282–287 (1998)
Rendall, T.C.S., Allen, C.B.: Unified fluid–structure interpolation and mesh motion using radial basis functions. International Journal for Numerical Methods in Engineering 74(10), 1519–1559 (2008)
Gang, W., Ye, Z.: Mixed Element Type Unstructured Grid Generation and its Application to Viscous Flow Simulation. In: 24th International Congress of Aeronautical Sciences, Yokohama, Japan (2004)
Gang, W., Ye Li, H., Yang, Q.: Studies on Aerodynamic Interferences between the Components of Transport Airplane using Unstructured Navier-Stokes Simulations. Computational Fluid Dynamics Journal 15(1), 191–197 (2006)
Dhondt, G.: Calculix (2012), http://calculix.de
Rendall, T.C.S., Allen, C.B.: Improved radial basis function fluid–structure coupling via efficient localized implementation. International Journal for Numerical Methods in Engineering 78, 1188–1208 (2009)
Rendall, T.C.S., Allen, C.B.: Fluid-structure interpolation and mesh motion using radial basis functions. International Journal for Numerical Methods in Engineering 75(10), 1519–1559 (2008)
Wendland, H.: Scattered Data Approximation, 1st edn. Cambridge University Press (2005)
Rendall, T.C.S., Allen, C.B.: Efficient Mesh Motion using Radial Basis Functions with Data Reduction Algorithms. Journal of Computational Physics 229(7), 6231–6249 (2009)
Cai, J., Liu, F., Tsai, H.M.: Static Aero-elastic Computation with a Coupled CFD and CSD Method. In: 39th AIAA Aerospace Sciences Meeting & Exhibit, AIAA-2001-0717, Reno, NV, January 8-11 (2001)
Erkut, B., Ali, A.: Development of a Coupling Procedure for Static Aeroelastic Analyses. Scientific Technical Review 61(3-4), 39–48 (2011)
Ballmann, J., Dafnis, A., Korsch, H.: Experimental Analysis of High Reynolds Number Aero-Structural Dynamics in ETW. AIAA Paper 2008-841 (2008)
https://c3.nasa.gov/dashlink/static/media/other/HIRENASD_base.htm
Newman, J.C., Taylor, A.C.: Three-dimensional aerodynamic shape sensitivity analysis and design optimization using the Euler equations on unstructured grids. AIAA Paper 96-2464 (1996)
Newman, J.C., Newmanb, P.A., Taylor, A.C., Hou, G.J.-W.: Efficient nonlinear static aeroelastic wing analysis. Computers & Fluids 28, 615–628 (1999)
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Wang, G., Mian, H.H., Ye, ZY., Lee, JD. (2014). Parallel Implementation of Localized Radial Basis Function Interpolation for Computational Aeroelastic Predictions . In: Li, K., Xiao, Z., Wang, Y., Du, J., Li, K. (eds) Parallel Computational Fluid Dynamics. ParCFD 2013. Communications in Computer and Information Science, vol 405. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-53962-6_2
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DOI: https://doi.org/10.1007/978-3-642-53962-6_2
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