A unified approach for adaptive solutions of compressible and incompressible flows

35th Aerospace Sciences Meeting and Exhibit

Volumn , Issue , 1997, Pages

  Ilinca, F ^a   Pelletier, D ^a  

^a ÉCOLE POLYTECHNIQUE DE MONTRÉAL   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

AEROSPACE ENGINEERING; ALGORITHMS; INCOMPRESSIBLE FLOW; LEAST SQUARES APPROXIMATIONS;

ADAPTIVE FINITE ELEMENT METHODS; CONVECTION DOMINATED PROBLEMS; GALERKIN LEAST SQUARES; INCOMPRESSIBLE VISCOUS FLOWS; PRIMITIVE VARIABLES; QUADRATIC FINITE ELEMENTS; SOLUTION ALGORITHMS; UNSTRUCTURED GRID;

FINITE ELEMENT METHOD;

EID: 84983185877     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (31)

1. Kafyeke, F., Canadair, Private Communication.
2. Pot, G., Electricité de France, Private Communication.
3. Peraire J., Vahdati M., Morgan K., Zienkiewicz O.C., "Adaptive Remeshing for Compressible Flows", J. Comp. Phys., Vol. 72, № 2, 1987.
4. Palmtrio B., and Dervieux A., "2D and 3D Unstructured Mesh Adaption Relying on Pysical Analogy", Proceedings of the Second International Conference on Numerical Grid Generetion in CFD, 1988.
5. Babuska I., and Rheinboldt W.C., "A-Posteriori Error Estimates for the Finite Element Method", Int. J. Numer. Methods Engng., Vol. 12, 1978, pp. 1597-1615.
6. Oden J.T., Demkowicz L., Rachowicz W., and Westermann T.A., "A Posteriori Error Analysis in Finite Element: the Element Residual Method for the Symmetrizable Problems with Applications to Compressible Euler and Navier-Stokes Equations", Comp. Meth. Appl. Mech. Eng., Vol. 82, 1990, pp. 183-203.
7. Zienkiewicz O.C., and Zhu R.J.Z., "A Simple Error estimator and Adaptive Procedure for Practical Engineering Analysis", Int. J. Num. Meth. Engng., Vol. 24, pp. 337-357, 1987.
8. Wu J., Zhu J.Z., Szmelter J., Zienkiewicz O.C., "Error Estimation and Adaptivity in Navier-Stokes Incompressible Flows", Computational Mechanics, Vol. 6, pp. 259-270, 1990.
9. Zienkiewicz O.C., and Zhu R.J.Z., "The Superconvergent Patch Recovery and A Posteriori Error Estimators. Part I. The Recovery Technique", Int. J. Numer. Methods Engng., Vol. 33, 1992, pp. 1331-1364.
10. Ainsworth M., Zhu J.Z., Craig A.W., and Zienkiewicz O.C., "Analysis of the Zienkiewics-Zhu A-Posteriori Error Estimator in the Finite Element Method", Int. J. Numer. Methods Engng., Vol. 28, 1989, pp. 2161-2174.
11. Zienkiewicz O.C., and Zhu R.J.Z., "The Superconvergent Patch Recovery and A Posteriori Error Estimators. Part 2: Error Estimates and Adaptivity ", Int. J. Numer. Methods Engng., Vol. 33, 1992, pp. 1365-1382.
12. Hétu J.F., Pelletier D., "Adaptive Remeshing for Viscous Incompressible Flows", AIAA Journal, Vol. 30, № 8, August 1992.
13. Httu J.-F., Pelletier D., "A Fast Adaptive Finite Element Scheme for Viscous Incompressible Flows", AIAA Journal, Vol. 30, № 11, Nov 1992.
14. Pelletier D., Httu J.-F., "An Adaptive Finite Element Methodology for Incompressible Viscous Flows", ASME Winter Annual Meeting, Anaheim, CA, NOV. 8-13, 1992.
15. Pelletier D., Hétu J.-F., Ilinca F., "An Adaptive Finite Element Method for Thermal Flow Problems", AIAA Journal, Vol. 32, № 4, 1994, pp. 741-747.
16. Pelletier D., Ilinca F., Hétu J.-F., "An Adaptive Remeshing for Convective Heat Transfer with Variable Fluid Properties", AIAA Journal of Thermophysics and Heat Transfer, Vol. 8, № 4, 1994, pp. 687-694.
17. Pelletier D., Ilinca F., Hétu J.-F., "An Adaptive Finite Element Method for Turbulent Flow near a Propeller", AIAA Journal, Vol. 32, № 11, 1994, pp. 2186-2193.
18. Pelletier D., and Ilinca F., "Adaptive Remeshing for the k-E Model of Turbulence", Paper AIAA 94-0818, 32nd Aerospace Sciences Meeting and Exhibit, Jan 11-15 1994, Reno, NV.
19. Ilinca F., Pelletier D., and Garon A., "An Adaptive Finite Element Method for a Two-Equation Turbulence Model in Wall Bounded Flows", Paper AIAA 94-2390, 25th AIAA Fluid Dynamics Conference, June 20-23 1994, Colorado Springs, co.
20. Hafez M, Soliman M., and White S., "A Unified Approach for Numerical Simulation of Viscous Compressible and Incompressible Flows over Adiabatic and Isothermal Walls", 5th Symposium on Numerical and Physical Aspects of Aerodynamic Flows, 13-15 Jan 1992.
21. Hughes, T.J.R., Franca L., Balestra M., "A New Finite Element Formulation for Computational Fluid Dynamics: V. Circumventing the BabuSka-Brezzi Condition: A Stable petrov-Galerkin Formulation of The Stokes Problem accomodating Equal Order Interpolations’, Comp. Meth. Appl. Mech. Engngr., Vol. 59, pp. 85-99, 1986.
22. Hughes, T.J.R., Franca L., Hulbert G.M., ‘A New Finite Element Formulation for Computational Fluid Dynamics: VIII The GalerkinLeast-Squares Method for Advective-Diffusive Equations’, Comp. Meth. Appl. Mech. Engrg, Vol. 73, pp. 173-189, 1989.
23. Franca L. P., Frey S.L. ‘Stabilized Finite Element Methods: The Incompressible Navier-Stokes Equations’, Comp. Meth. Appl. Mech. Engrg, Vol. 99, pp. 209-233, 1992.
24. Tezduyar T.E., Aliabadi S.K., Behr M., Mittal S., ‘Massively Parralel Finite Element Simulation of Compressible and Incompressible Flows’, Report 94-013, Army High Performance Computing Reserach Center, Minneapolis, Minnesota, 1994.
25. Hughes, T.J.R., Mallet M., Mizukami A., "A New Finite Element Formulation for Computational Fluid Dynamics: I1 Beyond SUPG’, Comp. Meth. Appl. Mech. Engnr, Vol. 54, pp. 341-355, 1986.
26. Tezduyar T.E., Park Y.J., ‘Discontinuity Capturing Finite Element Formulations for Nonlinear Convection-Diffusion-Reaction Equations’, Comp. Meth. Appl. Mech. Engrg, Vol. 59, pp. 307-325, 1986.
27. Codina R., ‘A Discontinuity-capturing Crosswind-Dissipation for The Finite Element Solution of the Convection-Diffusion Equations’, Comp. Meth. Appl. Mech. Engrg, Vol. 110, pp. 325-342, 1993.
28. Ilinca F., and Pelletier D., "A Pressure Based Adaptive Finite Element Algorithm for Compressible Viscous Flows", AIAA Paper 96-0679, 34th Aerospace Sciences Meeting & Exhibit, Jan. 15-18 1996, Reno, NV.
29. Zienkiewicz O.C., Gago J.P., Kelley D.W., "The Hierarchical Concepts in Finite Element Analysis", Comp. Struct., Vol. 16, pp. 53-65, 1983.
30. Lohner R., Morgan K., Zienkiewicz O.C., "Adaptive Grid Refinement for the Euler and Compressible Navier-Stokes Equations", in Accuracy Estimates and AdaDtive Refinement in Finite Element Computations, Wiley 1986.
31. Cahouet J., ‘Projet THYC: Simulations d’écoulements transsoniques’, Rapport HT-36/8806, Laboratoire National d’Hydraulique, Electricite’ de France, 21 janvier 1988.