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Local bisection for conformal refinement of unstructured 4D simplicial meshes

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10.1007/978-3-030-13992-6_13
 
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hdl:2117/188039

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Belda Ferrín, GuillemMés informacióMés informació
Gargallo Peiró, AbelMés informacióMés informacióMés informació
Roca Navarro, Francisco Javier
Document typeConference report
Defense date2018
PublisherSpringer
Rights accessOpen Access
All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder
ProjectTesseract - Best Curved Adapted Meshes for Space-Time Flow Simulations (EC-H2020-715546)
Abstract
We present a conformal bisection procedure for local refinement of 4D unstructured simplicial meshes with bounded minimum shape quality. Specifically, we propose a recursive refine to conformity procedure in two stages, based on marking bisection edges on different priority levels and defining specific refinement templates. Two successive applications of the first stage ensure that any 4D unstructured mesh can be conformingly refined. In the second stage, the successive refinements lead to a cycle in the number of generated similarity classes and thus, we can ensure a bound over the minimum shape quality. In the examples, we check that after successive refinement the mesh quality does not degenerate. Moreover, we refine a 4D unstructured mesh and a space-time mesh (3D + 1D) representation of a moving object.
CitationBelda, G.; Gargallo, A.; Roca, X. Local bisection for conformal refinement of unstructured 4D simplicial meshes. A: International Meshing Roundtable. "27th International Meshing Roundtable". Berlín: Springer, 2018, p. 229-247. 
URIhttp://hdl.handle.net/2117/188039
DOI10.1007/978-3-030-13992-6_13
ISBN978-3-030-13992-6
Publisher versionhttps://link.springer.com/chapter/10.1007/978-3-030-13992-6_13
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