Streamline topologies near a stationary wall of Stokes flow in a cavity

Applied Mathematics and Computation

Volumn 165, Issue 2, 2005, Pages 329-345

  Gürcan, Fuat ^a  

^a ERCIYES UNIVERSITY   (Turkey)

Author keywords

Bifurcations; Dynamical systems; Eigenfunction solution; Stokes flow

Indexed keywords

BIFURCATION (MATHEMATICS); DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; FLOW OF FLUIDS; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL TRANSFORMATIONS;

DYNAMICAL SYSTEMS; EIGENFUNCTION SOLUTION; STOKES FLOW; STREAMLINE TOPOLOGIES;

TOPOLOGY;

EID: 17644369637     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2004.06.017     Document Type: Article

References (26)

1. O. Burggraf Analytical and numerical studies of the structure of steady separated flows J. Fluid Mech. 24 1966 113 151
2. P.M. Gaskell, A.K.C. Lau, and N.G. Wright Comparison of two solution strategies for use with higher-order discretization schemes in fluid flow simulation Int. J. Numer. Methods Eng. 8 1988 1203 1215
3. T.B Gatski, C.E. Grosch, and M.E. Rose A numerical study of the two dimensional Navier-Stokes equation in vorticity-velocity variables J. Comput. Phys. 48 1982 1 22
4. F. Pan, and A. Acrivos Steady flows in rectangular cavities J. Fluid Mech. 28 1967 643 655
5. D.D. Joseph, and L. Sturges The convergence of biorthogonal series for biharmonic and Stokes flow edge problems: Part II SIAM J. Appl. Math. 34 1978 7 27
6. P.N. Shankar The eddy structure in Stokes flow in a cavity J. Fluid Mech. 250 1993 371 383
7. C. Shen, and J.M. Floryan Low Reynolds number flow over cavities Phys. Fluids 28 11 1985 3191 3202
8. P.N. Shankar, and M.N. Deshpande Fluid mechanics in the driven cavity Annu. Rev. Fluid Mech. 32 2000 93 136
9. P.H. Gaskell, M.D. Savage, J.L. Summers, and H.M. Thompson Stokes flow in closed rectangular domains Appl. Math. Modelling 22 1998 727 743
10. J.C.R. Hunt, C.J. Abel, and H. Woo Kinematical studies of the flow around free or surface-mounted obstacles; applying topology of flow visualization J. Fluid Mech. 86 1978 179 200
11. M. Tobak, and D.J. Peake Topology of three-dimensional separated flows Ann. Rev. Fluid Mech. 14 1982 61 85
12. A.E. Perry, and M.S. Chong A description of eddying motions and flow patterns using critical-point concepts Ann. Rev. Fluid Mech. 19 1987 125 137
13. P.G. Bakker, Bifurcation in flow patterns, Thesis, Technical University of Delft, Netherlands, 1989
14. U. Dallmann Three-dimensional vortex structures and vorticity topology Fluid Dyn. Res. 3 1988 183
15. M. Brøns, and J.N. Hartnack Streamline topologies near simple degenerate critical points in two-dimensional flow away from boundaries Phys. Fluids 11 1999 314 324
16. J.N. Hartnack Streamlines topologies near a stationary wall using normal forms Acta Mech. 136 1999 55 75
17. T. Ma, and S. Wang Topology of 2D incompressible flows and applications to geophysical fluid dynamics RACSAM, Rev. Acad. Cienc. Serie A Mat. 96 3 2002 447 459
18. M. Ghil, T. Ma, and S. Wang Structural bifurcation of 2D incompressible flows Indiana Univ. Math. J. (special issue) 50 1 2001 159 180
19. F. Gürcan Streamline topologies in Stokes flow within Lid-Driven Cavities Theoret. Comput. Fluid Dynamics 17 1 2003 19 30
20. M. Brøns, L.K. Voigt, and J.N. Sørensen Streamline topology of steady axisymmetric vortex breakdown in a cylinder with co- and counter-rotating end-covers J. Fluid Mech. 401 1999 275 292
21. M. Brøns, L.K. Voigt, and J.N. Sørensen Topology of vortex breakdown bubbles in a cylinder with a rotating bottom and a free surface J. Fluid Mech. 428 2001 133 148
22. H. Goldstein Classical Mechanics 1950 Addison-Wesley Reading, MA
23. R.C.T. Smith The bending of a semi-infinite strip Austral. J. Sci. Res. 5 1952 227 237
24. C.I. Robbins, and R.C.T. Smith A table of roots of sin z = -z Philos. Mag. 39 7 1948 1005
25. F. Gürcan, Flow bifurcations in rectangular, lid-driven, cavity flows, PhD Thesis, University of Leeds, 1997
26. H.K. Moffatt Viscous and resistive eddies near a sharp corner J. Fluid Mech. 18 1964 1 18