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Pré-Publication, Document De Travail Année : 2013

High-quality construction of analysis-suitable trivariate NURBS solids by reparameterization methods

Résumé

High-quality volumetric parameterization of computational domain plays an important role in three-dimensional isogeometric analysis. Reparameterization technique can improve the distribution of isoparametric curves/surfaces without changing the geometry. In this paper, using the reparameterization method, we investigate the high-quality construction of analysis-suitable NURBS volumetric parameterization. Firstly, we introduce the concept of volumetric reparameterization, and propose an optimal Möbis transformations to improve the quality of isoparametric structure based on a new uniformity metric. Secondly, from given boundary NURBS surfaces, we present a two-stage scheme to construct the analysis-suitable volumetric parameterization: in the first step, uniformity-improved reparameterization is performed on the boundary surfaces to achieve high-quality isoparametric structure without changing the shape; in the second step, from a new variational harmonic metric and the reparameterized boundary surfaces, we construct the optimal inner control points and weights to achieve an analysis-suitable NURBS solid. Several examples with complicated geometry are presented to illustrate the effectiveness of proposed methods.
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Dates et versions

hal-00922544 , version 1 (27-12-2013)
hal-00922544 , version 2 (08-01-2015)

Identifiants

  • HAL Id : hal-00922544 , version 1

Citer

Gang Xu, Bernard Mourrain, André Galligo. High-quality construction of analysis-suitable trivariate NURBS solids by reparameterization methods. 2013. ⟨hal-00922544v1⟩

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