Extraction of separation and attachment surfaces from three-dimensional steady shear flows

AIAA Journal

Volumn 45, Issue 6, 2007, Pages 1290-1302

  Surana, A ^a,c   Jacobs, G B ^b,c,d   Haller, G ^a,c  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^b SAN DIEGO STATE UNIVERSITY   (United States)

^c Department of Mechanical Engineering ^*

^d AIAA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ATTACHMENT SURFACES; CAVITY FLOWS; GLOBAL SEPARATION;

COMPUTER SIMULATION; GEOMETRY; HEURISTIC METHODS; STEADY FLOW;

SHEAR FLOW;

EID: 34347234751     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/1.21464     Document Type: Article

References (34)

1. Prandtl, L., "Über Flüssigkeitsbewegung bei Sehr Kleiner Reibung," Verhandlungen des 3 Internationalen Mathematiker- Kongresses, Teubner, Leipzig, Germany, 1904, pp. 484-491.
2. Chapman, G. T., "Topological Classification of Flow Separation on Three-Dimensional Bodies," AIAA Paper 86-0485, 1986.
3. Delery, J. M., "Robert Legendre and Henri Werlé: Toward the Elucidation of Three-Dimensional Separation," Annual Review of Fluid Mechanics Vol. 33, 2001, pp. 129-54.
4. Peake, D. J., and Tobak, M., "Topological Structure of Three-Dimensional Separated Flows," AIAA Paper 81-1260, 1981.
5. Simpson, R. L., "Aspects of Turbulent Boundary Layer Separation," Progress in Aerospace Sciences, Vol. 32, Oct. 1996, pp. 457-521.
6. Tobak, M., and Peake, D. J., "Topology of Three-Dimensional Separated Flows," Annual Review of Fluid Mechanics, Vol. 14, 1982, pp. 61-85.
7. Legendre, R., "Séparation de l'Écoulement Laminaire Tridimensionnel," Recherche Aéronautique, Vol. 54, 1956, pp. 3-8.
8. Dallmann, U., "Topological Structures of Three-Dimensional Flow Separation," DFVLR Nachrichten : Mitteilungsblatt der Deutschen Forschungs- und Versuchsanstalt für Luft- und Raumfahrt (DFVLR), Vol. IB, 1983, pp. 221-282.
9. Hunt, J. C. R., Abell, C. J., Peterka, J. A., and Woo, H., "Kinematical Studies of the Flows Around Free or Surface Mounted Obstacle; Applying Topology to Flow Visualization," Journal of Fluid Mechanics, Vol. 86, 1978, pp. 179-200.
10. Perry, A. E., and Fairlie, B. D., "Critical Points in Flow Patterns," Advances in Geophysics, Vol. 18, Apr. 1974, pp. 200-215.
11. Yates, L. A., and Chapman, G. T., "Streamlines, Vorticity Lines, and Vortices Around Three-Dimensional Bodies," AIAA Journal, Vol. 30, No. 7, 1992, pp. 1819-1826.
12. Lighthill, M. J., "Attachment and Separation in Three-Dimensional Flows," Laminar Bound. Layer Theory, edited by L. Rosenhead, Oxford Univ. Press, New York, 1963, pp. 72-82.
13. Wang, K. C., "Separation Patterns of Boundary Layer over an Inclined Body of Revolution, " AIAA Journal, Vol. 10, No. 8, 1972, 1044-1050.
14. Wu, J. Z., Gu, J. W., and Wu, J. M., "Steady Three-Dimensional Fluid Particle Separation from Arbitrary Smooth Surface and Formation of Free Vortex Layers," AIAA Paper 87-2348, 1987.
15. Van Dommelen, L. L., and Cowley, S. J., "On the Lagrangian Description of Unsteady Boundary Layer Separation, Part 1: General Theory," Journal of Fluid Mechanics, Vol. 210, Jan. 1990, pp. 593-626.
16. Wu, J. Z., Tramel, R. W., Zhu, F. L., and Yin, X. Y., "A Vorticity Dynamics Theory of Three-Diraensional Flow Separation," Physics of Fluids, A/Fluid Dynamics, Vol. 12, No. 8, Aug. 2000, pp. 1932-1954.
17. Williams, P. T., and Barker, A. J., "Numerical Simulations of Laminar Flow over a 3-D Backward-Facing Step," International Journal for Numerical Methods in Fluids, Vol. 24, No. 11, 1997, pp. 1159-1183.
18. Biswas, G., Breuer, M., and Durst, F., "Backward-Facing Step Flows for Various Expansion Ratios at Low and Moderate Reynolds Numbers," Transactions of the ASME, Vol. 126, May 2004, pp. 362-374.
19. Nie, J. H., and Armaly, B. F., "Reverse Flow Regions in Three-Dimensional Backward-Facing Step Flow," International Journal of Heat and Mass Transfer, Vol. 47, No. 22, 2004, pp. 4713-4720.
20. Nie, J. H., and Armaly, B. F., "Reattachment of Three-Dimensional Flow Adjacent to Backward-Facing Step," Transactions of the ASME, Vol. 125, No. 3, 2003, pp. 422-428.
21. Stüer, H., Gyr, A., and Kinzelbach, W., "Laminar Separation on a Forward Facing Step," European Journal of Mechanics, B/Fluids, Vol. 18, No. 4, 1999, pp. 675-692.
22. Wilhelm, D., Härtel, C., and Kleiser, L., "Computational Analysis of the Two-Dimensional-Three-Dimensional Transition in Forward-Facing Step Flow," Journal of Fluid Mechanics, Vol. 489, Aug. 2003, pp. 1-27.
23. Surana, A., Grunberg, O., and Haller, G., "Exact Theory of Three-Dimensional Flow Separation, Part 1 : Steady Separation," Journal of Fluid Mechanics, Vol. 564, Sept. 2006, pp. 57-103.
24. Jacobs, G. B., Kopriva, D. A., and Mashayek, F., "Validation Study of a Multidomain Spectral Code for Simulation of Turbulent Flows," AIAA Journal, Vol. 43, No. 6, 2005, pp. 1256-1264.
25. Jacobs, G. B., Kopriva, D. A., and Mashayek, F., "A Conservative Isothermal Wall Boundary Condition for the Compressible Navier -Stokes Equations," Journal of Scientific Computing, Vol. 30, No. 2, 2007, pp. 177-192.
26. Gresho, P. M., Garting, D, K., Cliffe, K. A., Winters, K. H., Gamitt, T. J., Spence, A., and Goodrich, J. H., "Is the Steady Viscous Incompressible Two-Dimensional Flow over a Backward-Facing Step at Re = 800 Stable?," International Journal for Numerical Methods in Fluids, Vol. 17, No. 6, Sept. 1993, pp. 501-541.
27. Armaly, B. F., Durst, F., Pereira, J. C. F., and Schonung, B., "Experimental and Theoretical Investigation of Backward-Facing Step Flow," Journal of Fluid Mechanics, Vol. 127, 1983, pp. 473-496.
28. Shankar, P. N., and Deshpande, M. D., "Fluid Mechanics in the Driven Cavity Flow," Annual Review of Fluid Mechanics, Vol. 32, 2000, pp. 93-136.
29. Ghis, U., Ghia, K. N., and Shin, C. T., "High-Re Solutions for Incompressible Flow Using the Navier-Stokes Equations and a Multigrid Method," Journal of Computational Physics, Vol. 48, Dec. 1982, pp. 387-411.
30. Wetzel, G. W., Simpson, R. L., and Chesnakas, C. J., "Measurement of Three-Dimensional Crossflow Separation," AIAA Journal, Vol. 36, No. 4, 1998, pp. 557-564.
31. Haller, G., Surana, A., and Jacobs, G. B., "Finding the Separation Line in Open Separation," Physics of Fluids (to be submitted for publication).
32. Surana, A., Jacobs, G. B., Grunberg, O., and Haller, G., "Exact Theory of Three-Dimensional Flow Separation, Part 2: Fixed Unsteady Separation," Journal of Fluid Mechanics (submitted for publication).
33. Haller, G., "Exact Theory of Unsteady Separation for Two-Dimensional Flows," Journal of Fluid Mechanics Vol. 512, Aug. 2004, pp. 257-311.
34. Kilic, M. S., Haller, G., and Neishtadt, A., "Unsteady Fluid Flow Separation by the Method of Averaging," Physics of Fluids, Vol. 17, June 2005, pp. 67-104.