Coupling flow solvers and grids through an edge-based adaptive grid method

American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED

Volumn 238, Issue , 1996, Pages 209-215

  Vallet, Marie Gabrielle ^a,b   Dompierre, Julien ^b,c,e   Bourgault, Yves ^e   Fortin, Michel ^d   Habashi, Wagdi G ^e  

^a NATIONAL RESEARCH COUNCIL CANADA   (Canada)

^b Centre de Recherche en Calcul Applique   (Canada)

^c UNIVERSITÉ DE MONTRÉAL   (Canada)

^d UNIVERSITÉ LAVAL   (Canada)

^e Civil and Environmental Engineering   (Canada)

Author keywords

Anisotropy; Edge based error estimator; h method; Interpolation error; Mesh adaptation; Mesher solver coupling; r method; Solver independency; Spring analogy; Unstructured mesh

Indexed keywords

ERRORS; ESTIMATION; FLOW OF FLUIDS; INTERPOLATION; ITERATIVE METHODS; MATHEMATICAL OPERATORS; NAVIER STOKES EQUATIONS; NUMERICAL METHODS; OPTIMIZATION;

EDGE-BASED ERROR ESTIMATOR; INTERPOLATION ERROR; MESH ADAPTATION; MESHER-SOLVER COUPLING; SOLVER INDEPENDENCY; SPRING ANALOGY; UNSTRUCTURED MESH;

COMPUTATIONAL FLUID DYNAMICS;

EID: 0030372204     PISSN: 08888116     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Article

References (21)

1. Apel, T. and Lube, G., 1995. "Anisotropic mesh refinement in stabilized Galerkin methods". Technical Report SPC95-1, TU Chemnitz-Zwickau. (submitted to Numerische Mathematik).
2. Baruzzi, G. S., 1995. A Second Order Finite Element Method for the Solution of the Transonic Euler and Navier-Stokes Equations. PhD thesis, Concordia University, Montréal, Qc, Canada.
3. Boivin, S. and Fortin, M., 1993. "A new artificial viscosity method for compressible viscous flow simulations by FEM". International Journal of Computational Fluid Dynamics, Vol. 1, pp 25-41.
4. Bourgault, Y., 1996. Méthodes des éléments finis en mécanique des fluides: Conservation et autres propriétés. PhD thesis, Université Laval, Québec, Canada.
5. Castro-Díaz, M. J., Hecht, F., and Mohammadi, B., 1995. "Anisotropic grid adaptation for inviscid and viscous flows simulations". In 4th International Meshing Roundtable, pp. 73-85, Albuquerque, New Mexico.
6. D'Azevedo, E. F. and Simpson, R. B., 1989. "On optimal interpolation triangle incidences". SIAM Journal on Scientific and Statistical Computing, Vol. 10, pp. 1063-1075.
7. Dompierre, J., Vallet, M.-G., Fortin, M., Habashi, W. G., Aït-Ali-Yahia, D., Boivin, S., Bourgault, Y., and Tam, A., 1995. "Edge-base mesh adaptation for CFD". In Conference on Numerical Methods for the Euler and Navier-Stokes Equations, pp. 265-299, Montréal. CRM-CERCA.
8. Fortin, M., Bourgault, Y., Habashi, W. G., Dompierre, J., and Vallet, M.-G., 1995. "Mesh adaptation for viscous compressible flows". In Morandi Cecchi, M., Morgan, K., Périaux, J., Schrefler, B. A., and Zienkiewicz, O. C., editors, Ninth International Conference on Finite Elements in Fluids, New Trends and Applications, pp. 1151-1160, Venezia, Italy. IACM.
9. Gnoffo, P. A., 1982. "A vectorized finite-volume, adaptive grid algorithm for Navier-Stokes calculation". In Thompson, J. F., editor, Numerical Grid Generation, number 9, pp. 819-835, New-York. Elsevier North Holland.
10. Gnoffo, P. A., 1983. " A finite-volume, adaptive grid algorithm applied to planetary entry flowfields". AIAA Journal, Vol. 21, pp. 1249-1254.
11. Hawken, D. F., Gottlieb, J. J., and Hansen, J. S., 1991. "Review of some adaptive node-movement techniques in finite-element and finite-difference solutions of partial differential equations". Journal of Computational Physics, Vol. 95, pp. 254-302.
12. Körnhuber, R. and Roitzsch, R., 1990. "On adaptive grid refinement in the presence of internal or boundary layers". Impact of Computing in Science and Engineering, Vol. 2, pp. 40-72.
13. Löhner, R., 1989. "Adaptive remeshing for transient problems". Computer Methods in Applied Mechanics and Engineering, Vol. 75, pp. 195-214.
14. Nakahashi, K. and Deiwert, G. S., 1987. "Self-adaptive grid method with application to airfoil flow". AIAA Journal, Vol. 25, pp. 513-520.
15. Palmerio, B., 1988. "A two-dimensional FEM adaptive moving-node method for steady Euler flow simulation". Computer Methods in Applied Mechanics and Engineering, Vol. 71, pp. 315-340.
16. Palmerio, B., 1996. "Coupling mesh and flow in viscous fluid calculations when using unstructured triangular finite elements". International Journal of Computational Fluid Dynamics
17. Peraire, J., Vahdati, M., Morgan, K., and Zienkiewicz, O. C., 1987. "Adaptive remeshing for compressible flow computations". Journal of Computational Physics, Vol. 72, pp. 449-466.
18. st ASME Gas Turbine and Aeroengine Congress, Birmingham, U. K.
19. Vallet, M.-G., 1992. Génération de maillages éléments finis anisotropes et adaptatifs. PhD thesis, Université Pierre et Marie Curie, Paris VI, France.
20. Zienkiewicz, O. C. and Wu, J., 1994. "Automatic directional refinement in adaptive analysis of compressible flows". International Journal for Numerical Methods in Engineering, Vol. 37, pp. 2189-2210.
21. Zienkiewicz, O. C. and Zhu, J. Z., 1992. "The superconvergent patch recovery and a posteriori error estimates. Part I: The recovery technique". International Journal for Numerical Methods in Engineering, Vol. 33, pp. 1331-1364.