A dual element based geometric element transformation method for all-hexahedral mesh smoothing |
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Authors: | Dimitris Vartziotis Joachim Wipper |
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Affiliation: | 1. School of Mathematics and Physics, Suzhou University of Science and Technology, Suzhou 215007, China;2. School of Mechanical Engineering, Suzhou University of Science and Technology, Suzhou 215007, China;3. College of Mechanical and Electronics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;4. School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026, China |
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Abstract: | Due to their increased complexity hexahedral elements are more challenging with respect to mesh generation and mesh improvement techniques than tetrahedral elements. In particular, there is a lack of geometry-based all-hexahedral smoothing methods for mesh quality improvement being easy to implement, practicable, and efficient. The recently introduced geometric element transformation method represents a new promising element oriented smoothing concept to resolve this deficiency. By giving a dual octahedron based regularizing transformation this new approach is adapted in order to smooth all-hexahedral meshes. First numerical tests indicate that the resulting smoothing method yields high quality results at least comparable to those of a state of the art global optimization-based approach while being significantly faster. |
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