Back to Search
Start Over
Robust h-adaptive meshing strategy considering exact arbitrary CAD geometries in a Cartesian grid framework
- Source :
- RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia, instname
- Publication Year :
- 2017
- Publisher :
- Elsevier BV, 2017.
-
Abstract
- [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.<br />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.
- Subjects :
- 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
Subjects
Details
- ISSN :
- 00457949
- Volume :
- 193
- Database :
- OpenAIRE
- Journal :
- Computers & Structures
- Accession number :
- edsair.doi.dedup.....78087ec5c20d1980cb1d5bb68b4460d1