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The Meccano Method for Isogeometric Solid Modeling

Escobar, Jose Maria, Jose Manuel Cascon, Eduardo Rodriguez and Rafael Montenegro

20th International Meshing Roundtable, Springer-Verlag, pp.551-566, October 23-26 2011

IMR
PROCEEDINGS

20th International Meshing Roundtable
Paris, France
October 23-26, 2011

University Institute for Intelligent Systems and Numerical Applications in Engineering, SIANI, University of Las Palmas de Gran Canaria, Spain, Department of Economics and History of Economics, Faculty of Economics and Management, University of Salamanca, Spain
Email: {jmescobar,erodriguez,rmontenegro}@siani.es, casbar@usal.es

Summary
We present a new method to construct a trivariate T-spline representation of complex solids for the application of isogeometric analysis. The proposed technique only demands the surface of the solid as input data. The key of this method lies in obtaining a volumetric parameterization between the solid and a simple parametric domain. To do that, an adaptive tetrahedral mesh of the parametric domain is isomorphically transformed onto the solid by applying the meccano method. The control points of the trivariate T-spline are calculated by imposing the interpolation conditions on points situated both on the inner and on the surface of the solid. The distribution of the interpolating points is adapted to the singularities of the domain in order to preserve the features of the surface triangulation.

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