Hexahedral Meshing With Varying Element Sizes

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dc.contributor.authorXu, Kaojien_US
dc.contributor.authorGao, Xifengen_US
dc.contributor.authorDeng, Zhigangen_US
dc.contributor.authorChen, Guoningen_US
dc.contributor.editorChen, Min and Zhang, Hao (Richard)en_US
dc.date.accessioned2018-01-10T07:43:18Z
dc.date.available2018-01-10T07:43:18Z
dc.date.issued2017
dc.description.abstractHexahedral (or Hex‐) meshes are preferred in a number of scientific and engineering simulations and analyses due to their desired numerical properties. Recent state‐of‐the‐art techniques can generate high‐quality hex‐meshes. However, they typically produce hex‐meshes with uniform element sizes and thus may fail to preserve small‐scale features on the boundary surface. In this work, we present a new framework that enables users to generate hex‐meshes with varying element sizes so that small features will be filled with smaller and denser elements, while the transition from smaller elements to larger ones is smooth, compared to the octree‐based approach. This is achieved by first detecting regions of interest (ROIs) of small‐scale features. These ROIs are then magnified using the as‐rigid‐as‐possible deformation with either an automatically determined or a user‐specified scale factor. A hex‐mesh is then generated from the deformed mesh using existing approaches that produce hex‐meshes with uniform‐sized elements. This initial hex‐mesh is then mapped back to the original volume before magnification to adjust the element sizes in those ROIs. We have applied this framework to a variety of man‐made and natural models to demonstrate its effectiveness.Hexahedral (or Hex‐) meshes are preferred in a number of scientific and engineering simulations and analyses due to their desired numerical properties. Recent state‐of‐the‐art techniques can generate high‐quality hex‐meshes. However, they typically produce hex‐meshes with uniform element sizes and thus may fail to preserve small‐scale features on the boundary surface. In this work, we present a new framework that enables users to generate hex‐meshes with varying element sizes so that small features will be filled with smaller and denser elements, while the transition from smaller elements to larger ones is smooth, compared to the octree‐based approach.en_US
dc.description.number8
dc.description.sectionheadersArticles
dc.description.seriesinformationComputer Graphics Forum
dc.description.volume36
dc.identifier.doi10.1111/cgf.13100
dc.identifier.issn1467-8659
dc.identifier.pages540-553
dc.identifier.urihttps://doi.org/10.1111/cgf.13100
dc.identifier.urihttps://diglib.eg.org:443/handle/10.1111/cgf13100
dc.publisher© 2017 The Eurographics Association and John Wiley & Sons Ltd.en_US
dc.subjectmesh generation
dc.subjectmodelling
dc.subjectsolid modelling
dc.subjectmodelling
dc.subjectI.3.3 [Computer Graphics]: Modelling—Mesh Generation
dc.titleHexahedral Meshing With Varying Element Sizesen_US
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