Abstract
An improved, robust, error reducing CFD-mesh deformation module for the parallel simulation environment FlowSimulator is presented. The mesh deformation method is based on radial basis function interpolation for the surface- and volume- mesh nodes combined with a group-weighting and displacement-blending approach. Since the latter weighting and blending approaches are based on given wall distances to the group surfaces, another module for the wall distance computation is introduced. Due to performance reasons, the number of input data locations (base points) used for the radial basis function interpolation must be limited. Therefore, methods have been developed to reduce the number of base points while keeping the interpolation error as low as possible. Furthermore, the modules have been parallelized for usage in multi-node high performance computing clusters. Finally, the capability of a multidisciplinary, parallel application is demonstrated in FlowSimulator with reduced errors and uncertainties.
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References
FlowSimulator: Common simulation environment for integrated parallel CFD applications, http://dev.as.dlr.de/gf/project/fsdm
Allen, C.B., Rendall, T.C.S.: Efficient mesh motion using radial basis functions with data reduction algorithms. In: AIAA Paper 2008-305, Department of Aerospace Engineering, University of Bristol, Bristol, Great Britain (January 2008)
Baxter, B.J.C.: The Interpolation Theory. PhD thesis, Trinity College. University of Cambridge (August 1992)
Beckert, A., Wendland, H.: Multivariate interpolation for fluid-structure-interaction problems using radial basis functions. Technical report, Institute of Aeroelasticity, German Aerospace Center (DLR), Institute for Applied Mathematics, University of Göttingen (March 2000)
Buhmann, M.D.: Radial Basis Functions. Cambridge University Press (April 2003)
Heinrich, R., Kroll, N., Neumann, J., Nagel, B.: Fluid-Structure Coupling for Aerodynamic Analysis and Design - A DLR Perspective. In: 46th AIAA Aerospace Sciences Meeting and Exhibit 2008, Reno (2008)
Kroll, N., Schwamborn, D., Becker, K., Rieger, H., Thiele, F.: MEGADESIGN and MegaOpt - German Initiatives for Aerodynamic Simulation and Optimization in Aircraft Design: Results of the Closing Symposium of the MEGADESIGN and MegaOpt Projects. Springer (2007)
Nelder, J.A., Mead, R.: A simplex method for function minimization. Computer Journal 7, 308 (1965)
Ohtake, Y., Belyaev, A., Seidel, H.: Multi-scale and adaptive cs-rbfs for shape reconstruction from cloud of points (2003)
Stickan, B.: Implementation and extension of a mesh deformation module for the parallel FlowSimulator software environment. Diploma Thesis at Airbus Deutschland GmbH, Bremen and Chair for Computational Analysis of Technical Systems, RWTH Aachen (2009)
Tucker, P.G.: Differential equation-based wall distance computation for DES and RANS. PhD thesis, Department of Engineering, Fluid Dynamics Research Centre, University of Warwick (October 2002)
Wendland, H.: Fast evaluation of radial basis functions: Methods based on partition of unity. In: Approximation Theory X: Wavelets, Splines, and Applications, pp. 473–483. Vanderbilt University Press (2002)
Wigton, L.B.: Optimizing cfd codes and algorithms for use on cray computers, frontiers of computational fluid dynamics. World Scientific Publishing Co. Pte. (1998)
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Barnewitz, H., Stickan, B. (2013). Improved Mesh Deformation. In: Eisfeld, B., Barnewitz, H., Fritz, W., Thiele, F. (eds) Management and Minimisation of Uncertainties and Errors in Numerical Aerodynamics. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 122. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-36185-2_9
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DOI: https://doi.org/10.1007/978-3-642-36185-2_9
Publisher Name: Springer, Berlin, Heidelberg
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