Generation de maillage et adaptation de maillage par optimisation locale
Keywords:
mesh generation, mesh adaptivity, mesh optimisation, forming, large deformationAbstract
The need of meshing in forming processes motivated the development of the meshing method which is described in this paper. A new definition for a mesh is introduced using minimal volume principle which is proven. It is shown that non conform meshes can be improved to recover a conform mesh. The generic form of the global optimization algorithm is given, based on the combination of local improvement of the neighborhood of the nodes and the edges. A layer of virtual boundary elements is introduced in order to couple the surface and the volume remeshing. A mesh size map can be introduced directly in the shape factor of elements. The mesh optimization of the modified shape factor provides implicitly the adapted mesh. Finally the adaptation cycle is presented, which consists in computing a mesh size map on the current mesh, to adapt the mesh, to compute again the mesh sie map and to adapt again until a convergence state is reached. Examples in static and dynamic adaptation are given.
Downloads
References
[COU9I] COUPEZ T., Grandes transformations et remaillage automatique, PhD thesis, Ecole
Nationale Superieure des Mines de Paris, CEMEF, Sophia Antipolis, I991.
[COU92a] COUPEZ T., CHENOT.J. L. , « Large deformations and automatic remeshing >>,
In E. Hinton D.J.R. Owen, E. Onate, editor, Computational Plasticity (COMPLASIII), p.
I 077-I 088, Pineridge Press, Swansea, I992.
[COU92b] COUPEZ T., CHENOT.J. L., «Mesh topology for mesh generation problems. application
to three-dimensional remeshing », In O.C. Zienkiewicz J. L. Chenot, R.D. Wood,
editor, Numerical Methods in Industrial Forming Processes (NUMIFORM), A.A. Balkema,
I992.
[COU94a] COUPEZ T., Maillage et remaillage automatique 3d par une technique gen erale
d'amelioration de topologie, In P.L. George et J.P. Pelle, editor, vers l'automatisation des
calculs el ementsjinis,joumee d'etude du CSMA, 1994.
N.P. Weatherill et al., editor, Numerical Grid Generation in Computational Fluid Dynamics
and Related Fields, p. 6I5-626. Pineridge Press, I994.
[COU95] COUPEZ T., <
analysis of industrial forming >>, In Shan-Fu Shen et al., editor, Numerical Methods
in Industrial Forming Processes- NUMIFORM 95, p. 407-4I2. A.A. Balkema, I995.
[COU96a] COUPEZ T., <
B.K. Soni et al., editor, Numerical Grid Generation in Computational Field Simulations,
volume I, p. 783-792, Mississipi State University, 1996.
[COU96b] COUPEZ T., MARIE S., DUCLOUX R., << Parallel 3d simulation of forming processes
including parallel remeshing and reloading », In Desideri et al., editor, Numer.
Meth. in Eng., pages 738-743, ECCOMAS, Wiley & Sons, I996.
[COU97a] COUPEZ T. << Mesh generation and adaptive remeshing by a local optimisation
principle >>, In NAFEMS world comgress 97, p. 1051-1060, NAFEMS Ltd, Glasgow,
[COU97b] COUPEZ T., MARIES., <
forming simulation», Int. J. of Supercomputer Applications, 11(4):205-211, 1997.
[COU98a] COUPEZ T. << Adaptive meshing for forming processes», In M. Cross et al, editor,
Numerical Grid Generation in Computational Field Simulation, U. of Greenwich, p. 3-20,
Mississipi State University, 1998.
[COU98b] COUPEZ T., FOURMENT L., CHENOT J. L., <
process simulation », In P. Ladeveze and J. T. Oden, editors, Advances in Adaptive
Computational Methods in Mechanics, p. 365-381. Cachan-Workshop, Elsevier, 1998.
[GE098] GEORGE P. L, <
In M. Cross et al, editor, Numerical Grid Generation in Computational Field Simulation.
U. of Greenwich, p. 21-32, Mississipi State University, 1998.
