An automatic adaptive meshing technique for Delaunay triangulations

Computer Methods in Applied Mechanics and Engineering

Volumn 161, Issue 3-4, 1998, Pages 297-303

  Xu, X ^a   Pain, C C ^a   Goddard, A J H ^a   De Oliveira, C R E ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; TRIANGULATION;

DELAUNAY TRIANGULATIONS;

ADAPTIVE ALGORITHMS;

EID: 0032136249     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(97)00322-8     Document Type: Article

References (14)

1. [1] O. Zienkiewicz and J. Zhu, A simple error estimator and adaptive procedure for practical engineering analysis, Int. J. Numer. Methods Engrg. 24 (1987) 337-357.
2. [2] J. Wu, J. Zhu, J. Szmelter and O. Zienkiewicz, Error estimation and adaptivity in Navier-Stokes incompressible flows, Comput. Mech. 6 (1990) 259-270.
3. [3] R. Lohner, K. Morgan and O. Zienkiewicz, Adaptive grid refinement for the compressible Euler equations, in: I. Babuska et al., eds., Accuracy Estimates and Adaptive Refinements in Finite Element Computations (Wiley, 1986) 281-297.
4. [4] F. Hermeline, Une methode automatique de maillage en dimension n, Thesis, Universite Paris 6, Paris, 1980.
5. [5] D. Watson, Computing the n-dimensional Delaunay tesselation with application to Voronoi polytopes, The Computer J. 24 (1981) 167-172.
6. [6] P. George, Automatic Mesh Generation (Wiley, 1991).
7. [7] N. Weatherill, Delaunay triangulation in computational fluid dynamics, Comput. Math. Appl. 24 (1992) 129-350.
8. [8] J. Peraire, J. Peiro, L. Formaggia, K. Morgan and O. Zienkiewicz, Finite element Euler computations in three dimensions, Int. J. Numer. Methods Engrg. 26 (1988) 2135-2159.
9. [9] Y. Kallinderis and P. Vijayan, Adaptive refinement-coarsening scheme for three-dimensional unstructured meshes, AIAA J. 31 (1993) 1440-1447.
10. [10] D. Holmes and D. Snyder, The generation of unstructured triangular meshes using Delaunay triangulation, in: Sengupta et al., eds., Numerical Grid Generation in Computational Fluid Dynamics (Pineridge Press, 1988) 643-652.
11. [11] R. Richter and P. Leyland, Dynamic mesh adaptation for unsteady flows within a true parallel environment, in: Schiano et al., eds., Parallel Computational Fluid Dynamics '96 (North-Holland, 1997) 156-165.
12. [12] J. Peraire, M. Vahdata, K. Morgan and O. Zienkiewicz, Adaptive remeshing for compressible flow computations, J. Comput. Phys. 72 (1987) 449-466.
13. [13] R. Lohner, Adaptive remeshing for transient problems., Comput. Methods Appl. Mech. Engrg. 75 (1989) 195-214.
14. [14] C. Pain, Finite element simulations of polyurethane foaming processes, Ph.D. Thesis, School of Engineering, University of Exeter, 1991.