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Geometric Parameterization Strategies for shape Optimization Using RBF Mesh Morphing

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Advances on Mechanics, Design Engineering and Manufacturing

Abstract

Mesh morphing is one of the most promising approach for problems in which numerical analyses, based on discretised domains, involve shape parameterization. Some of the benefits associated to its adoption are the reduction of the computational meshing costs and the remeshing noise prevention, guaranteeing at the same time the continuum shape parameterization and consistency of mesh topology. One of the best mathematical tool to drive the mesh morphing (smoothing) task is recognized to be Radial Basis Functions. This paper introduce the RBF Morph tool and lists a set of applications in which the RBF shape parameterization is used to face problems ranging from aerodynamic optimization to Fluid Structure Interaction analyses.

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Correspondence to Ubaldo Cella .

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Cella, U., Groth, C., Biancolini, M.E. (2017). Geometric Parameterization Strategies for shape Optimization Using RBF Mesh Morphing. In: Eynard, B., Nigrelli, V., Oliveri, S., Peris-Fajarnes, G., Rizzuti, S. (eds) Advances on Mechanics, Design Engineering and Manufacturing . Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-45781-9_54

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  • DOI: https://doi.org/10.1007/978-3-319-45781-9_54

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