Abstract
A mesh-free interpolation method for the use in aeroelastic aircraft simulations was implemented. The method is based on a weighted moving least-squares (MLS) approach for solving the spatial coupling problem arising in such problems. The paper presents the fundamentals of the MLS-based method and its advantages over the popular and often-used mesh-free interpolation method of Wendland et al. [1, 2]. Further emphasis is put on the description of the parallel implementation of the MLS-based method. The effectiveness of the method is demonstrated with selected interpolation test cases.
Andreas Schuster is now staff of the DLR Institute of Composite Structures and Adaptive Systems.
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Notes
- 1.
In the GSB method, the compact support radius \(\delta _j\) entering the RBF (see Eq. 5) has to be the same all over the computational domain. Otherwise, the interpolation scheme will not be consistent.
- 2.
The compact support radius \(\delta _j\) associated with \({\mathbf {x}}_{F,j}\) is determined then as the distance of the point that is farthest away from \({\mathbf {x}}_{F,j}\) among the \(N_\delta \) support points.
- 3.
The fuselage mesh components which are part of the original HiReTT configuration as defined in [13] were not considered in this paper.
- 4.
Estimated figures.
References
Beckert, A., Wendland, H.: Multivariate interpolation for fluid-structure interaction problems using radial basis functions. Aerosp. Sci. Technol. 5(2), 125–134 (2001)
Ahrem, R., Beckert, A., Wendland, H.: A mesh less spatial coupling scheme for large-scale fluid-structure-interaction problems. Comp. Model. Eng. Sci. 12, 121–136 (2006)
Pidaparti, R.M.V.: Structural and aerodynamic data transformation using inverse isoparametric mapping. J. Aircr. 29, 507–509 (1992)
Cebral, J.J., Löhner, R.: Conservative load projection and tracking for fluid-structure problems. AIAA J. 35, 687–692 (1997)
Beckert, A.: Coupled fluid (CFD) and structural (FE) models using finite interpolation elements. Aerosp. Sci. Technol. 4(1), 13–22 (2000)
Neumann, J., Krüger, W.: Coupling strategies for large industrial models. In: Kroll, N. et al. (eds.): Computational Flight Testing. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol. 123, pp. 207–222 (2013)
Stickan, B., Bleecke, H., Schulze, S.: NASTRAN based static CFD-CSM coupling in flowsimulator. In: Kroll, N. et al. (eds.) Computational Flight Testing. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol. 123, pp. 223–234 (2013)
Rendall, T.C.S., Allen, C.B.: Parallel efficient mesh motion using radial basis functions with application to multi-bladed rotors. Int. J. Numer. Meth. Eng. 81, 89–105 (2010)
Quaranta, G., Masarati, P., Mantegazza, P.: A conservative mesh-free approach for fluid-structure interface problems. In: Proceedings of the International Conference on Computational Methods of Coupled Problems in Science and Engineering (2005)
Wellmer, G., Reimer, L., Flister, H., Behr, M., Ballmann, J.: A comparison of fluid/structure coupling methods for reduced structural models. In: Eisfeld, B. et al. (eds.): Management and Minimisation of Uncertainties and Errors in Numerical Aerodynamics. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol. 122, pp. 181–218 (2013)
Meinel, M., Einarsson, G.O.: The flow simulator framework for massively parallel CFD applications. In: Proceedings of the PARA 2010—State of the Art in Scientific and Parallel Computing (2010)
Wendland, H.: Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree. Adv. Comput. Math. 4, 389–396 (1995)
Hantrais-Gervois, J.-L., et al.: GARTEUR AD/A-45: Application of CFD to Predict High “g” Loads. Technical report (2013)
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Schuster, A., Reimer, L., Neumann, J. (2016). A Mesh-Free Parallel Moving Least-Squares-based Interpolation Method for the Application in Aeroelastic Simulations With the Flow Simulator. In: Dillmann, A., Heller, G., Krämer, E., Wagner, C., Breitsamter, C. (eds) New Results in Numerical and Experimental Fluid Mechanics X. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 132. Springer, Cham. https://doi.org/10.1007/978-3-319-27279-5_50
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