An adaptive finite element method for forced convection

International Journal for Numerical Methods in Fluids

Volumn 25, Issue 7, 1997, Pages 803-823

  Pelletier, D ^a   Ilinca, F ^a   Turgeon, E ^a  

^a ÉCOLE POLYTECHNIQUE DE MONTRÉAL   (Canada)

Author keywords

Adaptive FEM; Forced convection; Heat transfer; Incompressible; Navier Stokes

Indexed keywords

APPROXIMATION THEORY; ERROR ANALYSIS; FINITE ELEMENT METHOD; NAVIER STOKES EQUATIONS; NUSSELT NUMBER;

ADAPTIVE FINITE ELEMENT METHOD; ADVANCING FRONT METHOD;

HEAT CONVECTION;

CONVECTION; FINITE ELEMENT METHOD; HEAT TRANSFER;

EID: 0031254944     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/(sici)1097-0363(19971015)25:7<803::aid-fld587>3.0.co;2-y     Document Type: Article

References (22)

1. J. Peraire, M. Vahdati, K. Morgan and O. C. Zienkiewicz, 'Adaptive remeshing for compressible flows', J. Comput. Phys., 72, 26-37 (1987).
2. J. Wu, J. Z. Zhu, J. Szmelter and O. C. Zienkiewicz, 'Error estimation and adapativity in Navier-Stokes incompressible flows', Comput. Mech., 6, 259-270 (1990).
3. K. C. Wang and G. F. Carey, 'Adaptive grids for coupled viscous flow and transport', Comput. Methods Appl. Mech. Eng., 82, 365-383 (1990).
4. J. F. Hétu and D. Pelletier, 'Adapative remeshing for viscous incompressible flows', AIAA J., 30, 1986-1992 (1992).
5. J.-F. Hétu and D. Pelletier, 'A fast adaptive finite element scheme for viscous incompressible flows', AIAA J., 30, 2677-2682 (1992).
6. D. Pelletier and J.-F. Hétu, 'An adaptive finite element methodology for incompressible viscous flows', in Advances in Finite Elements for Fluid Dynamics II, FED Vol. 137, ASME, New York, 1992, pp. 1-12.
7. D. Pelletier, J.-F. Hétu and F. Ilinca, 'Adaptive finite element method for thermal flow problems', AIAA J., 32, 741-747 (1994).
8. D. Pelletier, F. Ilinca and J.-F. Hétu, 'An adaptive finite element method for turbulent free shear flow past a propeller', AIAA J., 32, 2186-2193 (1994).
9. D. Pelletier, F. Ilinca and J.-F. Hétu, 'Adaptive remeshing for convective heat transfer with variable fluid properties', AIAA J. Thermophys. Heat Transfer, 8, 687-694 (1994).
10. D. Pelletier and A. Fortin, 'Are FEM solutions of incompressible flows really incompressible? (or how simple flows can cause headaches)', Int. j. numer. methods fluids, 9, 99-112 (1989).
11. O.C. Zienkiewicz, J. P. Gago and D. W. Kelley, 'The hierarchical concepts in finite element analysis', Comput. Struct., 16, 53-65 (1983).
12. R. Lohner, K. Morgan and O. C. Zienkiewicz, 'Adaptive grid refinement for the Euler and compressible Navier-Stokes equations', in I. Babuska, O. C. Zienkiewicz and E. R. de A. Oliveira (eds), Accuracy Estimates and Adaptive Refinement in Finite Element Computations, pp. 281-248, Wiley, Chichester, 1986.
13. M. Fortin and A. Fortin, 'Experiments with several elements for incompressible flows'. Int. j. numer. methods fluids, 5, 911-928 (1985).
14. O. C. Zienkiewicz and R. J. Z. Zhu, 'A simple error estimator and adaptive procedure for practical engineering analysis', Int. j. numer. methods eng., 24, 337-357 (1987).
15. J. F. Hétu, 'Méthode d'éléments finis adaptatives pour les écoulements visqueux incompressibles', ;Thèse de Ph.D., École Polytechnique de Montréal, 1991.
16. J. T. Oden, L. Demkowicz, T. Strouboulis and P. Devloo, 'Adapative methods in solid and fluid mechanics', in I. Babuska, O. C. Zienkiewicz and E. R. de A. Oliveira (eds), Accuracy Estimates and Adaptive Refinement in Finite Element Computations, pp. 249-280, Wiley, Chichester, 1986.
17. J. T. Oden, 'The best FEM', Finite Elem. Anal. Design, 7, 103-114 (1990).
18. O. C. Zienkiewicz and R. J. Z. Zhu, 'A simple error estimator and adaptive procedure for practical engineering analysis', Int. j. numer. methods eng., 24, 337-357 (1987).
19. H. H. Dannelongue and P. A. Tanguy, 'Adapative remeshing technique for Non-Newtonian fluid flow', Int. j. numer. methods eng., 30, 1555-1567 (1990).
20. I. Babuska, 'Feedback, adaptivity and a posteriori estimates in finite elements: aims, theory, and experience', in I. Babuska, O. C. Zienkiewicz and E. R. de A. Oliveira (eds), Accuracy Estimates and Adaptive Refinement in Finite Element Computations, Wiley, Chichester, 1986.
21. C. Y. Soong and W. C. Hsueh, 'Mixed convection in a suddenly-expanded channel with effects of cold fluid injection', Int. J. Heat Mass Transfer, 36, 1477-1484 (1993).
22. B. Farhanieh, C. Herman and B. Sundu, 'Numerical and experimental analysis of laminar fluid flow and forced convection heat transfer in a grooved duct', Int. j. Heat Mass Transfer, 36, 1609-1617 (1993).