Anisotropic mesh adaptation: Towards a solver and user independent CFD

35th Aerospace Sciences Meeting and Exhibit

Volumn , Issue , 1997, Pages 1-9

  Dompierre, J ^a   Vallett, M G ^b   Porting, M ^c   Bourgault, Y ^a   Habashi, W G ^a  

^a Gina Cody School of Engineering and Computer Science   (Canada)

^b NATIONAL RESEARCH COUNCIL CANADA   (Canada)

^c UNIVERSITÉ LAVAL   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

AEROSPACE ENGINEERING; ALGORITHMS; COMPUTATIONAL FLUID DYNAMICS;

ANISOTROPIC MESH ADAPTATION; DIRECTIONAL ERRORS; MESH ADAPTATION; MESH OPTIMIZATION; NUMERICAL ALGORITHMS; ORDER OF ACCURACY; SOLUTION ACCURACY; USER INDEPENDENTS;

MESH GENERATION;

EID: 84983130697     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (14)

1. I. Babuška and W. C. Rheinboldt, "Error estimates for adaptive finite element computation," SIAM J. Num. Anal., vol. 15, no. 4, pp. 736-754, 1978.
2. I. Babuška and W. C. Rheinboldt, "A posteriori error analysis of finite element solution for one-dimensional problems," SIAM J. Num. Anal., vol. 18, pp. 565-589, 1981.
3. I. Babuška, O. C. Zienkiewicz, J. Gago, and A. de Oliveira, eds., Accuracy Estimates and Adaptive Refinements in Finite Element Computations, (London), John Wiley & Sons, 1986.
4. R. Verfürth, "A posteriori error estimates for nonlinear problems. Finite element discretizations of elliptic equations.," Math, of Comp., vol. 62, pp. 445-, April 1994.
5. R. Verfürth, "A posteriori error estimation and adaptive mesh-refinement techniques," J. Comp. Appl. Math., vol. 50, pp. 67-, May 1994.
6. E. F. D’Azevedo and R. B. Simpson, "On optimal interpolation triangle incidences," SIAM J. Sci. and Stat. Comp., vol. 10, no. 6, pp. 1063-1075, 1989.
7. E. F. D’Azevedo and R. B. Simpson, "On optimal triangular meshes for minimizing the gradient error," Nümerische Mathematik, vol. 59, pp. 321-348, July 1991.
8. D. Ait-Ali-Yahia, W. G. Habashi, A. Tarn, M.-G. Vallet, and M. Fortin, "A directionally adaptive methodology using an edge-based error estimate on quadrilateral grids," Int. J. Num. Meth. Fluids, vol. 23, pp. 673-390, 1996.
9. B. Mohammadi, "Fluid dynamics computation with NSC2KE, an user-guide, release 1.0," Tech. Rep. RT-0164, Institut National de Recherche en Informatique et en Automatique, May 1994.
10. B. Mohammadi and O. Pironneau, Analysis of the K-Epsilon Turbulence Model. John Wiley & Sons and Masson, 1994.
11. S. Boivin, "A numerical method for solving the compressible Navier-Stokes equation," Impact Comp. Sc. Engng, vol. 1, pp. 64-92, 1989.
12. S. Boivin and M. Fortin, "A new artificial viscosity method for compressible viscous flow simulations by FEM," Int. J. Comp. Fluid Dyn., vol. 1, pp. 25-41, 1993.
13. S, Boivin and M. Fortin, "A class of predictorcorrector schemes: Application to the resolution of the compressible Navier-Stokes equations by FEM," Int. J. Num. Meth. Fluids, 1996.
14. Y. Bourgault, Methodes des éléments finis en mécanique des fluides: Conservation etautres propriétés. PhD thesis, Université Laval, Québec, Canada, 1996.