New approaches for Delaunay triangulation and optimisation


Perumal, Logah (2019) New approaches for Delaunay triangulation and optimisation. Heliyon, 5 (8). ISSN 2405-8440

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New techniques are presented for Delaunay triangular mesh generation and element optimisation. Sample points for triangulation are generated through mapping (a new approach). These sample points are later triangulated by the conventional Delaunay method. Resulting triangular elements are optimised by addition, removal and relocation of mapped sample points (element nodes). The proposed techniques (generation of sample points through mapping for Delaunay triangulation and mesh optimisation) are demonstrated by using Mathematica software. Simulation results show that the proposed techniques are able to form meshes that consist of triangular elements with aspect ratio of less than 2 and minimum skewness of more than 45°.

Item Type: Article
Uncontrolled Keywords: Mechanical engineering Finite element methods Mathematical modeling Geometry Computing methodology Computer simulation Generalised equation Mapping Sample points Delaunay riangulation Mesh optimisation Aspect ratio Element skewness
Subjects: T Technology > TA Engineering (General). Civil engineering (General) > TA401-492 Materials of engineering and construction. Mechanics of materials
Divisions: Faculty of Engineering and Technology (FET)
Depositing User: Ms Suzilawati Abu Samah
Date Deposited: 24 Feb 2022 03:12
Last Modified: 24 Feb 2022 03:12


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