Geometry modelling and industrial parameterisation issues
DOI:
https://doi.org/10.13052/REMN.17.127-148Keywords:
geometrical modelling, parameterisation, grid update, optimisation, CAD system, shape modificationAbstract
The paper addresses issues related to the development of a geometrical modelling system and its connection with shape parameterisation and computational grid update. In particular, it is thought that the use of parameterisations based on the modification of an existing shape instead to exploit the direct representation of the geometry results in an increase of flexibility and accuracy. Selected examples related to aircraft design illustrate the capability of the system.
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References
Batina J., “ Unsteady Euler airfoil solutions using unstructured dynamic meshes”, AIAA paper
-0115, 27th Aerospace Sciences Meeting and Exhibit, Reno, Nevada, 1989.
Castonguay P., Nadarajah S., “ Effect of Shape parametrization on aerodynamic shape optimisation”,
AIAA Aerospace Sciences Meeting and Exhibit, Reno, Nevada, 2007.
Daoud F., Firl M., Bletzinger K., “ Filter Techniques in Shape Optimisation with CAD-Free
Parametrisation”, 6th World Congress of Structural and Multidisciplinary Optimisation,
Rio de Janeiro, 30 May-03 June, Brazil, 2005.
Daumas L., Dinh Q., Kleinveld S., Rogé G., “ CAD-Based Wing-Body Opimisation”, CEAS
Aerospace Aerodynamics Research Conference, Cambridge, 2002.
Degand C., Farhat C., “ A three-dimensional torsional spring analogy method for unstructured
dynamic meshes”, Computers and Structures, vol. 80, p. 305-316, 2002.
Désidéri J.-A., “ Hierarchical Optimum Shape Algorithm using Embedded Bézier Parametrizations”,
Numerical Methods for Scientific Computing Variational Problems and Applications,
CIMNE, Barcelona, Y. Kuznetsov et al eds., 2003.
Désidéri J.-A., Janka A., “ Multilevel Shape Parameterization for Aerodynamic Optimisation -
Application to Drag and Noise Reduction of Transonic/Supersonic Business Jet”, ECCOMAS
Conference, Jyvaskyla, Finland, P. Neittammaki et al eds., 2004.
Farin G., Curves and Surfaces for Computed Aided Design, Academic Press, 1989.
Formaggia L., “ An Unstructured Mesh Generation Algorithm for Three Dimensional Aeronautical
Configurations”, Numerical Grid Generation in Computational Fluid and Related
Fields, North Holland, A.S. Arcilla et al eds., 1991.
Fudge D., Zingg D., Haimes R., “ A CAD-Free and a CAD-Based Geometry Control Based
System for Aerodynamic Shape Optimisation”, AIAA Aerospace Sciences Meeting and Exhibit,
Reno, Nevada, 2005.
George P.-L., Automatic Mesh Generation, Application to Finite Element Methods, Wiley, New
York, 1991.
Ghidoni A., Pelizzari E., Rebay S., Selmin V., “ 3D Anisotropic Unstructured Grid Generation”,
Int. J. Numer. Methods Fluids, vol. 51, n
