Topological flow structures in backward-facing step channels

Computers and Fluids

Volumn 26, Issue 4, 1997, Pages 321-337

  Chiang, T P ^a   Sheu, Tony W H ^a   Tsai, S F ^a  

^a NATIONAL TAIWAN UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; FLOW PATTERNS; FLOW VISUALIZATION; NAVIER STOKES EQUATIONS; REYNOLDS NUMBER; ROTATIONAL FLOW; THREE DIMENSIONAL; TOPOLOGY;

BACKWARD FACING STEP CHANNELS; INCOMPRESSIBLE FLUIDS;

CHANNEL FLOW;

CHANNELS; FLOW PATTERNS; FLOW VISUALIZATION;

EID: 0031148133     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7930(96)00047-3     Document Type: Article

References (29)

1. Lighthill, M., Attachment and separation in three-dimensional flow. In Laminar Boundary Layers, Vol. 2(6), ed. L. Rosenhead, II. Oxford University Press, 1963, pp. 72-82.
2. Morgan, K., Periaux, J. and Thomasset, F., ed., Analysis of Laminar Flow over a Backward Facing Step, A GAMM-Workshop. Friedr View and Sohn, Germany, 1984.
3. Kaiktsis, L., Karniadakis, G. E. M. and Orszag, S. A., Onset of three-dimensionality, equilibria, and early transition in flow over a backward-facing step. J. Fluid Mech., 1991, 231, 501-528.
4. Armaly, B. F., Durst, F., Pereira, J. C. F. and Schonung, B., Experimental and theoretical investigation of backward-facing step. J. Fluid Mech., 1983, 127, 473-496.
5. Goldstein, R. J., Eriksen, V. L., Olson, R. M. and Eckert, E. R. G., Laminar separation reattachment, and transition of flow over a downward-facing step. Trans. ASME D: J. Basic Engng, 1970, 92, 732-741.
6. Shih, C. and Ho, C-M., Three-dimensional recirculation flow in a backward facing step. ASME J. Fluids Engng, 1994, 116, 228-232.
7. Yoo, J. Y. and Baik, S. J., Redeveloping turbulent boundary layer in the backward-facing step flow. ASME J. Fluids Engng, 1992, 114, 522-529.
8. Ötiigen, M. V., Expansion ratio effects on the separated shear layer and reattachment downstream of a backward-facing step. Experiments in Fluids, 1991, 10, 273-280.
9. Papadvpoulos, G. and Ötiigen, M. V., Separating and reattaching flow structure in a suddenly expanding rectangular duct. J. Fluids Engng, 1995, 117, 17-23.
10. Kim, J., Kline, S. J. and Johnston, J. P., Investigation of a reattaching turbulent shear layer: flow over a backward-facing step. ASME J. Fluids Engng, 1980, 102, 302-308.
11. Kim, J. and Moin, P., Applications of a fractional-step method to incompressible Navier-Stokes equations. J. Comput. Phys., 1985, 59, 308-323.
12. Ku, H. C., Hirsh, R. S., Taylor, T. D. and Rosenburg, A. P., A pseudo-spectral matrix element method for solution of three-dimensional incompressible flows and its parallel implementation. J. Comput. Phys., 1989, 83, 260-291.
13. Kwak, D. and Chang, J. L. C., A three-dimensional incompressible Navier-Stokes flow solver. Part 1-2NS3D code. CFD Workshop, University of Tennessee Space Institute, Tullahoma, TN, 1985.
14. Williams, P. T. and Baker, A. J., Incompressible computational fluids dynamics and the continuity constraint method for the three-dimensional Navier-Stokes equations. Numerical Heat Transfer, Part B, 1996, 29, 137-273.
15. Ikohagi, T., Shin, B. R. and Daiguji, H., Application of an implicit time-marching scheme to a three-dimensional incompressible flow problem in curvilinear coordinate systems. Comput. Fluids, 1992, 21, 163-175.
16. Williams, P. T. and Baker, A. J., Numerical simulations of laminar flow over a 3D backward-facing step. Int. J. Numer. Meth. Fluids, submitted.
17. Harlow, F. H. and Welch, J. E., Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface. Phys. Fluids, 1965, 8, 2182-2189.
18. Patankar, S. V., Numerical Heat Transfer and Fluid Flow. Hemisphere, New York, 1980.
19. Leonard, B. P., A stable and accurate convective modeling procedure based on quadratic upstream interpolation. Comput. Methods Appl. Mech. Engng, 1979, 19, 59-98.
20. Ethier, C. R. and Steinman, D. A., Exact fully 3D Navier-Stokes solutions for benchmarking. Int. J. Numer. Meth. Fluids, 1994, 19, 369-375.
21. Levy, Y., Degani, D. and Seginer, A., Graphical visualization of vortical flows by means of helicity. AIAA J., 1990, 28, 1347-1352.
22. Legendre, R., Séparation de courant l'écoulement laminaire tridimensionnel. Rech. Aéro., 1956, 54, 3-8.
23. Yates, L. A. and Chapman, G. T., Streamlines, vorticity lines, and vortices around three-dimensional bodies. AIAA J., 1992, 30, 1819-1826.
24. Poincare, H., Surles courbes defines par une equation differentiette. J. Math., 1875, 1, 167.
25. Bancroft, G., Merritt, F., Plessel, T., Kelaita, P., McCabe, R. and Globus, A., FAST: A multi-processing environment for visualization of CFD. Proc. Visualization '90, IEEE Computer Society, San Francisco, CA, 1990.
26. White, F. M., Viscous Fluid Flow, 2nd Edn. McGraw-Hill, New York, 1991.
27. Wang, K. C., Boundary layer over a blunt body at high incidence with an open type of separation. Proceedings of the Royal Society of London, Series A, 1974, 340, pp. 33-35.
28. Chapman, G. T., Topological classification of flow separation on three dimensional bodies. AIAA paper, 86-0485, 1986.
29. Tobak, M. and Peaks, D. J., Topology of three-dimensional separated flows. Ann. Rev. Fluid Mech., 1982, 14, 61-85.