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Title: Spline parameterization method for 2D and 3D geometries based on T-mesh optimization
Authors: López, J. I. 
Brovka, M. 
Escobar, J. M. 
Montenegro, R. 
Socorro Marrero, Guillermo Valentín 
UNESCO Clasification: 1204 Geometría
Keywords: Spline parameterization
Isogeometric analysis
T-mesh optimization
Hexahedral mesh optimization
Shape quality metric
Issue Date: 2017
Project: Integración de Nuevas Metodologías en Simulación de Campos de Viento, Radiación Solar y Calidad Del Aire 
Journal: Computer Methods in Applied Mechanics and Engineering 
Abstract: We present a method to obtain high quality spline parameterization of 2D and 3D geometries for their use in isogeometric analysis. As input data, the proposed method demands a boundary representation of the domain, and it constructs automatically a spline transformation between the physical and parametric domains. Parameterization of the interior of the object is obtained by deforming isomorphically an adapted parametric T-mesh onto the physical domain by applying a T-mesh untangling and smoothing procedure, which is the key of the method. Mesh optimization is based on the mean ratio shape quality measure. The spline representation of the geometry is calculated by imposing interpolation conditions using the data provided by one-to-one correspondence between the meshes of the parametric and physical domains. We give a detailed description of the proposed technique and show some examples. Also, we present some examples of the application of isogeometric analysis in geometries parameterized with our method.
ISSN: 0045-7825
DOI: 10.1016/j.cma.2017.05.005
Source: Computer Methods in Applied Mechanics and Engineering [ISSN 0045-7825], v. 322, p. 460-482, (Agosto 2017)
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