Numerical simulation of a flow around an impulsively started radially deforming circular cylinder

International Journal for Numerical Methods in Fluids

Volumn 29, Issue 5, 1999, Pages 555-573

  Hanchi, Samir ^a   Askovic, Radomir ^a   Ta Phuoc, Loc ^b  

^a UNIVERSITÉ DE VALENCIENNES   (France)

^b CNRS   (France)

Author keywords

Body deformability; Numerical simulation; Viscous flow

Indexed keywords

CYLINDER; DEFORMATION; MATHEMATICAL MODELING; VISCOUS FLOW;

EID: 0033558728     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0363(19990315)29:5<555::AID-FLD800>3.0.CO;2-7     Document Type: Article

References (34)

1. H. Blasius, 'Grenzchichten in Flussigkeiten mit Kleiner Reiburg', Z. Angew. Math. Phys. (Engl. trans.), 56, 1 (1908).
2. S. Goldstein and L. Rosenhead, 'Boundary layer growth', Proc. Camb. Philos. Soc., 32, 392 (1936).
3. H. Schuh, 'Calculation of unsteady boundary layers in two-dimensional laminar flow', Z. Flugwiss., 1, 122 (1953).
4. H. Wundt, 'Wachstum der laminaren grenzschicht an schrag angestromten Zelindern bei Anfahrt aus der Ruhe', Ing.-Arch. Berlin, 23, 212 (1955).
5. E.J. Watson, 'Boundary layer growth', Proc. R. Soc. Lond., A231, 104 (1955).
6. X. Wang and C. Dalton, 'Numerical solutions for impulsively started and decelerated viscous flow past a circular cylinder', Int. J. Numer. Methods Fluids, 12, 383-400 (1991).
7. W.M. Collins and S.C.R. Dennis, 'The initial flow past an impulsively started circular cylinder', Q. J. Mech. Appl. Math., 26, 53 (1973).
8. W.M. Collins and S.C.R. Dennis, 'Flow past an impulsively started circular cylinder', J. Fluid Mech., 60, 105 (1973).
9. M. Bar-Lev and H.T. Yang, 'Initial flow field over an impulsively started circular cylinder', J. Fluid Mech., 72, 625-647 (1975).
10. J. Jovanovic, R. Askovic and R. Djuric, 'Approximations supérieures dans la theorie de la couche limite instationnaire et leur traitement paramétrique', GAMM-Tagung 1978, Brussels, ZAMM59, 1979, pp. 240-243.
11. A. Thorn, 'The flow past circular cylinders at low speeds', Proc. R. Soc. Lond., A141, 651 (1933).
12. R.B. Payne, 'Calculations of unsteady viscous flow past a circular cylinder', J. Fluid Mech., 4, 81 (1958).
13. M. Kawaguti and P.C. Jain, 'Numerical study of a viscous fluid past a circular cylinder', J. Phys. Soc. Jpn., 21, 2055 (1966).
14. J.S. Son and T.J. Hanratty, 'Numerical solution of the flow around a cylinder at Reynolds number of 40, 200, 500', J. Fluid Mech., 35, 369 (1969).
15. P.C. Jain and K.S. Rao, 'Numerical solution of unsteady viscous incompressible fluid flow past a circular cylinder', Phys. Fluids Suppl., 12, 57 (1969).
16. D.C. Thoman and A.A. Szewczyk, 'Time-dependent viscous flow over a circular cylinder', Phys. Fluids Suppl., 12, 76 (1969).
17. S.C.R. Dennis and A.N. Staniforth, 'A numerical method for calculating the initial flow past a cylinder in a viscous fluid', in M. Holt (ed.) Proc. 2nd Int. Conf. on Numerical Methods in Fluid Dynamics, Lecture Notes in Physics, vol. 8, Springer, Berlin, 1971, p. 343.
18. V.A. Patel, 'Time dependent solution of viscous incompressible flow a circular cylinder', Comp. Fluids, 4, 13 (1976).
19. 4)', J. Mec., 17, 651 (1978).
20. Ta Phuoc Loc, 'Numerical analysis of unsteady secondary vortices generated by an impulsively started circular cylinder', J. Fluid Mech., 100, 111 (1980).
21. Ta Phuoc Loc and R. Bouard, 'Numerical solution of the early stage of the unsteady viscous flow around a circular cylinder: a comparison with experimental visualisation and measurements', J. Fluid Mech., 160, 93 (1985).
22. Y. Lecointe and J. Piquet, 'On the use of several compact methods for the study of the incompressible viscous flow around a circular cylinder', Comp. Fluids, 12, 255-280 (1984).
23. X. Wang and C. Dalton, 'Numerical solution for impulsively started and decelerated viscous flow past a circular cylinder', Int. J. Numer. Methods Fluids, 12, 383-400 (1991).
24. P.A. Smith and P.K. Stansby, 'Impulsively started flow around a circular cylinder by the vortex method', J. Fluid Mech., 194, 45-77 (1988).
25. C.C. Chang and R.L. Chern, 'A numerical study of flow around an impulsively started circular cylinder by a deterministic vortex method', J. Fluid Mech., 233, 243-263 (1991).
26. P. Koumoutsakos and A. Leonard, 'High-resolution simulations of the flow around an impulsively started cylinder using vortex method', J. Fluid Mech., 296, 1-38 (1995).
27. J.P. Christiansen, 'Vortex methods for flow simulation', J. Comput. Phys., 13, 363 (1973).
28. C.R. Anderson and M. Reider, 'Investigation of the use of Prandtl/Navier-Stokes equation procedures for two-dimensional incompressible flows', CAM Rep. 93-02, Department of Mathematics, UCLA, CA, 1993.
29. J.-Z. Wu, X. Wu, H. Ma and J.M. Wu, 'Dynamic vorticity condition: theory and numerical implementation', Int. J. Numer. Fluids, 19, 905-938 (1994).
30. W. Prandtl, 'The magnus effect and wind powered ships', Wissenschaften 13, 93-108 (1925).
31. H. Honji and S. Taneda, 'Unsteady flow past a circular cylinder', J. Phys. Soc. Jpn., 27, 1968 (1969).
32. S. Taneda, 'Visualisation experiments on unsteady viscous flows around cylinders and plates', in E.A. Eichelbrenner (ed.), Recent Research on Unsteady Boundary Layers, vol. 2, Quebec Laval University, Quebec, 1972.
33. 4', J. Fluid Mech., 101, 583 (1980).
34. B.K. Hakizumwami, 'High Reynolds number flow past an impulsively started circular cylinder', Comput. Fluids, 7, 895 (1994).