Streamline topologies near a fixed wall using normal forms

Acta Mechanica

Volumn 136, Issue 1, 1999, Pages 55-75

  Hartnack, J N ^a  

^a TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); BOUNDARY CONDITIONS; COMPUTATIONAL FLUID DYNAMICS; DIFFERENTIAL EQUATIONS; FLOW PATTERNS; NAVIER STOKES EQUATIONS; TWO DIMENSIONAL; VISCOUS FLOW;

NORMAL FORMS; STREAMLINE TOPOLOGIES;

WALL FLOW;

EID: 0032592747     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01292298     Document Type: Article

References (18)

1. Perry, A. E., Chong, M. S.: A description of eddying motions and flow patterns using critical-point concepts. Ann. Rev. Fluid Mech. 19, 125-155 (1987).
2. Dean, W. R.: Note on the motion of liquid near a position of separation. Proc. Cambridge Phil. Soc. 46, 293-306 (1950).
3. Oswatitsch, K.: Die Ablösungsbedingung von Grenzschichten. In: Boundary layer research (Görtler, H., ed.), pp. 357-367, IUTAM Symposium, Freiburg, Germany 1957. Berlin: Springer 1958.
4. Legendre, R.: Séparation de l'écoulement laminaire tridimensionel. Rech. Aéro. 54, 3-8 (1956).
5. Tobak, M., Peake, D. J.: Topology of three-dimensional separated flows. Ann. Rev. Fluid Mech. 14, 61-85 (1982).
6. Perry, A. E., Chong, M. S., Lim, T. T.: The vortex-shedding process behind two-dimensional bluff bodies. J. Fluid Mech. 116, 77-90 (1982).
7. Chiang, T. P., Sheu, W. H., Tsai, S. F.: Topological flow structures in backward-facing step channels. Comp. Fluids 26, 321-337 (1997).
8. Aref, H., Brøns, M.: On stagnation points and streamline topology in vortex flows. J. Fluid Mech. 370, 1-27 (1998).
9. Lugt, H. J.: Local flow properties at a viscous free surface. Phys. Fluids 30, 3647-3652 (1987).
10. Brøns, M.: Topological fluid dynamics of interfacial flows. Phys. Fluids 6, 2730-2737 (1994).
11. Bakker, P. G.: Bifurcations in flow patterns, vol. 2: Nonlinear topics in the mathematical sciences. Dordrecht: Kluwer 1991.
12. Dallmann, U.: Topological structures of three-dimensional flow separations. Techn. Rep. 221-82 A 07, DFVLR (1983).
13. Dallmann, U., Gebing, H.: Flow attachment at flow separation lines. On uniqueness problems between wall-flows and off-wall flow fields. Acta Mech. [Suppl] 4, 47-56 (1994).
14. Brøns, M.: Topological fluid mechanics of axisymmetric flow. In: Simulation and identification of organized structures in flows (Sørensen, J. N., Hopfinger, E. J., Aubry, N., eds.), pp. 213-222. Dordrecht: Kluwer 1998.
15. Kuznetsov, Y. A.: Elements of applied bifurcation theory. Applied Mathematical sciences, vol. 112. New York: Springer 1995.
16. Brøns, M., Hartnack, J. N.: Streamline topologies near simple degenerate critical points in two-dimensional flow away from boundaries. Phys. Fluids 11(2), 314-324 (1999).
17. Goldstein, H.: Classical mechanics. Reading: Adison-Wesley 1950.
18. Shankar, P. N.: Three-dimensional Stokes flow in a cylindrical container. Phys. Fluids 10, 540-549 (1998).