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Accelerating RBF-Based Mesh Deformation by Implementing an Agglomeration Strategy

[+] Author Affiliations
Giorgos A. Strofylas, Georgios N. Lygidakis, Ioannis K. Nikolos

Technical University of Crete, Chania, Greece

Paper No. IMECE2015-50902, pp. V001T01A012; 10 pages
  • ASME 2015 International Mechanical Engineering Congress and Exposition
  • Volume 1: Advances in Aerospace Technology
  • Houston, Texas, USA, November 13–19, 2015
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-5734-2
  • Copyright © 2015 by ASME


During the past decade Radial Basis Functions-based mesh deformation techniques have been emerged as an indispensable tool of numerical simulations entailing grid transformation. Despite their important contribution to such problems, they suffer from a significant drawback; they call for relatively excessive memory and computation time requirements. A remedy to this deficiency seems to be the selection of a reduced set of surface nodes, to be used as RBF’s centers; an equations’ system with decreased dimensions is obtained in that way. In this paper a new methodology for such a reduced surface point selection is proposed, considering agglomeration of surface nodes’ control volumes. It relies on the strategy followed by the corresponding multigrid methods aiming to accelerate numerical solutions of fluid flow, radiative heat transfer, etc., problems. The developed merging procedure resembles the advancing front technique, as it begins from regions with surface discontinuities extending successively to the rest of the boundary domain. The proposed algorithm is assessed against a test case considering parabolic deformation of the wing of the DLR-F6 aircraft model; its potential to effectively generate deformed grids in terms of accuracy and efficiency is demonstrated, despite the notable reduction of RBF’s centers.

Copyright © 2015 by ASME



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