Theory of linear and integer programming
Theory of linear and integer programming
Computational Geometry in C
Algebraic mesh quality metrics for unstructured initial meshes
Finite Elements in Analysis and Design
Mesh Generation: Application to Finite Elements
Mesh Generation: Application to Finite Elements
Generation of structured meshes in multiply connected surfaces using submapping
Advances in Engineering Software
A new least-squares approximation of affine mappings for sweep algorithms
Engineering with Computers - Special Issue: 14th International Meshing Roundtable in 2005. Guest Editor: Byron W. Hanks
An automatic and general least-squares projection procedure for sweep meshing
Engineering with Computers - Special Issue: 15th International Meshing Roundtable in 2006. Guest Editors: Philippe P. Pébay and Alan M. Shih (pp. 339 - 406). Original Articles (pp. 407 - 448)
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The multi-sweeping method is one of the most used algorithms to generate hexahedral meshes for extrusion volumes. In this method the geometry is decomposed in sub-volumes by means of projecting nodes along the sweep direction and imprinting faces. However, the quality of the final mesh is determined by the location of inner nodes created during the decomposition process and by the robustness of the imprinting process. In this work we present two original contributions to increase the quality of the decomposition process. On the one hand, to improve the robustness of the imprints we introduce the new concept of computational domain for extrusion geometries. Since the computational domain is a planar representation of the sweep levels, we improve several geometric operations involved in the imprinting process. On the other hand, we propose a three-stage procedure to improve the location of the inner nodes created during the decomposition process. First, inner nodes are projected towards source surfaces. Second, the nodes are projected back towards target surfaces. Third, the final position of inner nodes is computed as a weighted average of the projections from source and target surfaces.