Towards an automatic isogeometric analysis suitable trivariate models generation—Application to geometric parametric analysis

作者: H. Al Akhras , T. Elguedj , A. Gravouil , M. Rochette

DOI: 10.1016/J.CMA.2016.09.030

关键词:

摘要: Abstract This paper presents an effective method to automatically construct trivariate tensor-product spline models of complicated geometry and arbitrary topology. Our takes as input a solid model defined by its triangulated boundary surface. Using cuboid decomposition, initial polycube approximating the mesh is built. serves parametric domain representation required for isogeometric analysis. The polycube’s nodes arcs decompose model’s into quadrilateral patches, these patches form hexahedral domains. aligned global parameterization, are re-positioned re-routed across surface in way achieve low overall patch distortion, alignment principal curvature directions sharp features. optimization process based on one main contributions this paper: novel design cross fields with topological (i.e., imposed singularities) geometrical directions) constraints solving only sparse linear systems. Based optimized compatible B-spline surfaces reconstructed. Finally, interior volumetric parameterization computed using Coon’s interpolation. In context studies parameters, can be used compute morphing reduced order modeling. For different instances same topology but geometries, allows have representation: i.e., meshes (or parameterizations) efficiency robustness proposed approach illustrated several examples.

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