Robust h-adaptive meshing strategy considering exact arbitrary CAD geometries in a Cartesian grid framework
Autor: | M. Tur, José Manuel Navarro-Jiménez, Juan José Ródenas, Onofre Marco |
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Rok vydání: | 2017 |
Předmět: |
Mathematical optimization
Computer science INGENIERIA MECANICA 010103 numerical & computational mathematics 01 natural sciences Cartesian grids law.invention Regular grid law General Materials Science Shape optimization Polygon mesh Cartesian coordinate system h-refinement 0101 mathematics Representation (mathematics) ComputingMethodologies_COMPUTERGRAPHICS Civil and Structural Engineering Mechanical Engineering Immersed boundary method Finite element method Computer Science Applications 010101 applied mathematics Boundary representation NURBS Modeling and Simulation NEFEM Algorithm |
Zdroj: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia instname |
ISSN: | 0045-7949 |
DOI: | 10.1016/j.compstruc.2017.08.004 |
Popis: | [EN] Geometry plays a key role in contact and shape optimization problems in which the accurate representation of the exact geometry and the use of adaptive analysis techniques are crucial to obtaining accurate computationally-efficient Finite Element (FE) simulations. We propose a novel algorithm to generate 3D h-adaptive meshes for an Immersed Boundary Method (IBM) based on Cartesian grids and the so-called NEFEM (NURBS-Enhanced FE Method) integration techniques. To increase the accuracy of the results at the minimum computational cost we seek to keep the efficient Cartesian structure of the mesh during the whole analysis process while considering the exact boundary representation of domains given by NURBS or T-Splines. Within the framework of Cartesian grids, the two significant contributions of this paper are: (a) the methodology used for the mesh-geometry intersection, which represents a considerable challenge due to their independence; and (b) the robust procedure used to generate the integration subdomains that exactly represent the CAD model. The numerical examples given show the proper convergence of the method, its capacity to mesh complex 3D geometries and that Cartesian grid-based IBM can be considered a robust and reliable tool in terms of accuracy and computational cost. The authors wish to thank the Spanish Ministerio de Economia y Competitividad for the financial support received through Project DPI2013-46317-R and the FPI program (BES-2011-044080), also the Generalitat Valenciana for the assistance received through Project PROMETEO/2016/007. |
Databáze: | OpenAIRE |
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