Nonlinear global modes in hot jets

Journal of Fluid Mechanics

Volumn 554, Issue , 2006, Pages 393-409

  Lesshafft, Lutz ^a,b   Huerre, Patrick ^a   Sagaut, Pierre ^c   Terracol, Marc ^b  

^a ECOLE POLYTECHNIQUE   (France)

^b ONERA   (France)

^c SORBONNE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; FLOW OF FLUIDS; MATHEMATICAL MODELS; OSCILLATIONS; TEMPERATURE;

GLOBAL INSTABILITY; GLOBAL OSCILLATIONS; HOT JETS; JET FLOWS; NONLINEAR GLOBAL MODE;

JETS;

COMPUTER SIMULATION; FLOW OF FLUIDS; JETS; MATHEMATICAL MODELS; OSCILLATIONS; TEMPERATURE;

FLOW MODELING; JET FLOW; THEORETICAL STUDY;

EID: 33646043182     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112006008974     Document Type: Article

References (53)

1. Bers, A. 1983 Space-time evolution of plasma instabilities - absolute and convective. In Handbook of Plasma Physics (ed. M. N. Rosenbluth & R. Z. Sagdeev), vol. 1, pp. 451-517. North-Holland.
2. Boujemaa, S., Amielh, M. & Chauve, M. P. 2004 Analyse spatio-temporelle de jets axisymétriques d'air et d'hélium. C. R. Mecanique 332, 933-939.
3. Briggs, R. J. 1964 Electron-stream Interaction with Plasmas. MIT Press. Cambridge, MA.
4. Brown, G. L. & Roshko, A. 1974 On density effects and large structure in turbulent mixing layers. J. Fluid Mech. 64, 775-816.
5. Chomaz, J.-M. 1992 Absolute and convective instabilities in nonlinear systems. Phys. Rev. Lett. 69, 1931-1934.
6. Chomaz, J.-M. 2003 Fully nonlinear dynamics of parallel wakes. J. Fluid Mech. 495, 57-75.
7. Chomaz, J.-M. 2005 Global instabilities in spatially developing flows: Non-normality and nonlinearity. Annu. Rev. Fluid Mech. 37, 357-392.
8. Chomaz, J.-M., Huerre, P. & Redekopp, L. G. 1988 Bifurcations to local and global modes in spatially developing flows. Phys. Rev. Lett. 60, 25-28.
9. Chomaz, J.-M., Huerre, P. & Redekopp, L. G. 1991 A frequency selection criterion in spatially developing flows. Stud. Appl. Maths 84, 119-144.
10. Colonius, T. 2004 Modeling artificial boundary conditions for compressible flow. Annu. Rev. Fluid Mech. 36, 315-345.
11. Colonius, T., Lele, S. K. & Moin, P. 1993 Boundary conditions for direct computation of aerodynamic sound generation. AIAA J. 31, 1574-1582.
12. Couairon, A. & Chomaz, J.-M. 1996 Global instability in fully nonlinear systems. Phys. Rev. Lett. 77, 4015-4018.
13. Couairon, A. & Chomaz, J.-M. 1997a Absolute and convective instabilities, front velocities and global modes in nonlinear systems. Physica D 108, 236-276.
14. Couairon, A. & Chomaz, J.-M. 1997b Pattern selection in the presence of a cross flow. Phys. Rev. Lett. 79, 2666-2669.
15. Couairon, A. & Chomaz, J.-M. 1999 Fully nonlinear global modes in slowly varying flows. Phys. Fluids 11, 3688-3703.
16. Crighton, D. G. & Gaster, M. 1976 Stability of slowly diverging jet flow. J. Fluid Mech. 77, 397-413.
17. Crow, S. C. & Champagne, F. H. 1971 Orderly structure in jet turbulence. J. Fluid Mech. 48, 547-591.
18. Dee, G. & Langer, J. 1983 Propagating pattern selection. Phys. Rev. Lett. 50, 383-386.
19. Delbende, I., Chomaz, J.-M. & Huerre, P. 1998 Absolute/convective instabilities in the Batchelor vortex: A numerical study of the linear impulse response. J. Fluid Mech. 355, 229-254.
20. Gaster, M., Kit, E. & Wygnanski, I. 1985 Large scale structures in a forced turbulent mixing layer. J. Fluid Mech. 150, 23-39.
21. Giles, M. B. 1990 Nonreflecting boundary conditions for Euler equation calculations. AIAA J. 28, 2050-2058.
22. Grinstein, F. F., Glauser, M. N. & George, W. K. 1995 Vorticity in jets. In Fluid Vortices (ed. S. I. Green), pp. 65-94. Kluwer.
23. Grinstein, F. F., Oran, E. S. & Boris, J. P. 1987 Direct numerical simulation of axisymmetric jets. AIAA J. 25, 92-98.
24. Ho, C.-M. & Huang, L. S. 1982 Subharmonics and vortex merging in mixing layers. J. Fluid Mech. 119, 443-473.
25. Ho, C.-M. & Huerre, P. 1984 Perturbed free shear layers. Annu. Rev. Fluid Mech. 16, 365-424.
26. Huerre, P. 2000 Open Shear Flow Instabilities. In Perspectives in Fluid Dynamics (ed. G. K. Batchelor, H. K. Moffatt, & M. G. Worster), pp. 159-229. Cambridge University Press.
27. Huerre, P. & Monkewitz, P. A. 1990 Local and global instabilities in spatially developing flows. Annu. Rev. Fluid Mech. 22, 473-537.
28. Huerre, P. & Rossi, M. 1998 Hydrodynamic instabilities in open flows. In Hydrodynamics and Nonlinear Instabilities (ed. C. Godreche & P. Manneville), pp. 81-294. Cambridge University Press.
29. Jendoubi, S. & Strykowski, P. J. 1994 Absolute and convective instability of axisymmetric jets with external flow. Phys. Fluids 6, 3000-3009.
30. Khorrami, M. R., Malik, M. R. & Ash, R. L. 1989 Applications of spectral collocation techniques to the stability of swirling flows. J. Comput. Phys. 81, 206-229.
31. Laufer, J. & Monkewitz, P. A. 1980 On turbulent jet flows: A new perspective. AIAA Paper 80-0962.
32. Lu, G. & Lele, S. K. 1996 A numerical investigation of skewed mixing layers. Technical Rep. TF-67. Department of Mechanical Engineering, Stanford University, Stanford, CA.
33. Michalke, A. 1965 On spatially growing disturbances in an inviscid shear layer. J. Fluid Mech. 23, 521-544.
34. Michalke, A. 1984 Survey on jet instability theory. Prog. Aerospace Sci. 21, 159-199.
35. Monkewitz, P. A., Bechert, D. W., Barsikow, B. & Lehmann, B. 1990 Self-excited oscillations and mixing in a heated round jet. J. Fluid Mech. 213, 611-639.
36. Monkewitz, P. A., Huerre, P. & Chomaz, J.-M. 1993 Global linear stability analysis of weakly non-parallel shear flow. J. Fluid Mech. 251, 1-20.
37. Monkewitz, P. A. & Sohn, K. 1988 Absolute instability in hot jets. AIAA J. 26, 911-916.
38. Nichols, J., Schmid, P. J. & Riley, J. J. 2004 Self-sustained oscillations in variable-density jets. Bull. Am. Phys. Soc. 49, No. 9, 53.
39. Olendraru, C. & Sellier, A. 2002 Viscous effects in the absolute-convective instability of the Batchelor vortex. J. Fluid Mech. 459, 371-396.
40. Pack, D. C. 1954 Laminar flow in an axially symmetrical jet of compressible fluid, far from the orifice. Proc. Camb. Phil. Soc., 50, 98-104.
41. Pier, B. 2002 On the frequency selection of finite-amplitude vortex shedding in the cylinder wake. J. Fluid Mech. 458, 407-417.
42. Pier, B. & Huerre, P. 2001 Nonlinear self-sustained structures and fronts in spatially developing wake flows. J. Fluid Mech. 435, 145-174.
43. Pier, B., Huerre, P. & Chomaz, J.-M. 2001 Bifurcation to fully nonlinear synchronized structures in slowly varying media. Physica D 148, 49-96.
44. Pier, B., Huerre, P., Chomaz, J.-M. & Couairon, A. 1998 Steep nonlinear global modes in spatially developing media. Phys. Fluids 10, 2433-2435.
45. Provansal, M., Mathis, C. & Boyer, L. 1987 Bénard-von Kármán instability: Transient and forced regimes. J. Fluid Mech. 182, 1-22.
46. van Saarloos, W. 1988 Front propagation into unstable states: Marginal stability as dynamical mechanism for velocity selection. Phys. Rev. A 37, 211-229.
47. van Saarloos, W. 1989 Front propagation into unstable states: II. linear versus nonlinear marginal stability and rate of convergence. Phys. Rev. A 39, 6367-6390.
48. Sreenivasan, K. R., Raghu, S. & Kyle, D. 1989 Absolute instability in variable density round jets. Exps. Fluids 213, 309-317.
49. Terracol, M., Manoha, E., Herrero, C., Labourasse, E., Redonnet, S. & Sagaut, P. 2005 Hybrid methods for airframe noise numerical prediction. Theoret. Comput. Fluid Dyn. 19, 197-227.
50. Visbal, M. R. & Gaitonde, D. V. 2002 On the use of higher-order finite-difference schemes on curvilinear and deforming meshes. J. Comput. Phys. 181, 155-185.
51. Wesfreid, J. E., Goujon-Durand, S. & Zielinska, B. J. A. 1996 Global mode behavior of the streamwise velocity in wakes. J. Phys. II Paris 6, 1343-1357.
52. Winant, C. D. & Browand, F. K. 1974 Vortex pairing, the mechanism of turbulent mixing-layer growth at moderate Reynolds number. J. Fluid Mech. 63, 237-255.
53. Zielinska, B. J. A. & Wesfreid, J. E. 1995 On the spatial structure of global modes in wake flow. Phys. Fluids 7, 1418-1424.