메뉴 건너뛰기




Volumn 567, Issue , 2006, Pages 91-110

Local stability of the Abrashkin-Yakubovich family of vortices

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; UNSTEADY FLOW;

EID: 33750204774     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112006002114     Document Type: Article
Times cited : (9)

References (32)
  • 1
    • 0003566901 scopus 로고
    • Planar rotational flows of an ideal fluid
    • Abrashkin, A. A. & Yakubovich, E. I. 1984 Planar rotational flows of an ideal fluid. Sov. Phys. Dokl. 29, 370-371.
    • (1984) Sov. Phys. Dokl. , vol.29 , pp. 370-371
    • Abrashkin, A.A.1    Yakubovich, E.I.2
  • 2
    • 0032155984 scopus 로고    scopus 로고
    • The spiral wind-up of vorticity in an inviscid planar vortex
    • Bassom, A. P. & Gilbert, A. D. 1998 The spiral wind-up of vorticity in an inviscid planar vortex. J. Fluid Mech. 371, 109-140.
    • (1998) J. Fluid Mech. , vol.371 , pp. 109-140
    • Bassom, A.P.1    Gilbert, A.D.2
  • 3
    • 0023597086 scopus 로고
    • Three-dimensional instabilities in quasi-two-dimensional inviscid flows
    • (ed. R. W. Miksad et al.) ASME
    • Bayly, B. J. 1987 Three-dimensional instabilities in quasi-two-dimensional inviscid flows. In Nonlinear Wave Interactions in Fluids (ed. R. W. Miksad et al.), pp. 71-77. ASME.
    • (1987) Nonlinear Wave Interactions in Fluids , pp. 71-77
    • Bayly, B.J.1
  • 4
    • 0029656539 scopus 로고    scopus 로고
    • Three-dimensional stability of elliptical vortex columns in external strain flows
    • Bayly, B. J., Holm, D. D. & Lifschitz, A. 1996 Three-dimensional stability of elliptical vortex columns in external strain flows. Phil. Trans. R. Soc. Lond. A 354, 895-926.
    • (1996) Phil. Trans. R. Soc. Lond. A , vol.354 , pp. 895-926
    • Bayly, B.J.1    Holm, D.D.2    Lifschitz, A.3
  • 7
    • 0028668624 scopus 로고
    • Stability analysis and large eddy simulation of rotating turbulence with organized eddies
    • Cambon, C., Benoit, J.-P., Shao, L. & Jacquin, L. 1994 Stability analysis and large eddy simulation of rotating turbulence with organized eddies. J. Fluid Mech. 278, 175-200.
    • (1994) J. Fluid Mech. , vol.278 , pp. 175-200
    • Cambon, C.1    Benoit, J.-P.2    Shao, L.3    Jacquin, L.4
  • 8
    • 0033489539 scopus 로고    scopus 로고
    • Linear and nonlinear models of anisotropic turbulence
    • Cambon, C. & Scott, J. F. 1999 Linear and nonlinear models of anisotropic turbulence. Annu. Rev. Fluid Mech. 31, 1-53.
    • (1999) Annu. Rev. Fluid Mech. , vol.31 , pp. 1-53
    • Cambon, C.1    Scott, J.F.2
  • 9
    • 0024480939 scopus 로고
    • The stability of unbounded two- and three-dimensional flows subject to body forces: Some exact solutions
    • Craik, A. D. D. 1989 The stability of unbounded two- and three-dimensional flows subject to body forces: Some exact solutions. J. Fluid Mech. 198, 275-292.
    • (1989) J. Fluid Mech. , vol.198 , pp. 275-292
    • Craik, A.D.D.1
  • 10
    • 0032154777 scopus 로고    scopus 로고
    • On the persistence of non-axisymmetric vortices in inviscid two-dimensional flows
    • Dritschel, D. G. 1998 On the persistence of non-axisymmetric vortices in inviscid two-dimensional flows. J. Fluid Mech. 371, 141-155.
    • (1998) J. Fluid Mech. , vol.371 , pp. 141-155
    • Dritschel, D.G.1
  • 11
    • 0018107009 scopus 로고
    • A note on the stability of steady inviscid helical gas flows
    • Eckhoff, K. S. & Storesletten, L. 1978 A note on the stability of steady inviscid helical gas flows. J. Fluid Mech. 89, 401-411.
    • (1978) J. Fluid Mech. , vol.89 , pp. 401-411
    • Eckhoff, K.S.1    Storesletten, L.2
  • 12
    • 0035275576 scopus 로고    scopus 로고
    • Stability of the Rankine vortex in a multipolar strain field
    • Eloy, C. & Le Dizès, S. 2001 Stability of the Rankine vortex in a multipolar strain field. Phys. Fluids 13, 660-676.
    • (2001) Phys. Fluids , vol.13 , pp. 660-676
    • Eloy, C.1    Le Dizès, S.2
  • 13
    • 33750200559 scopus 로고    scopus 로고
    • On nonlinear instability and stability for stratified shear flow
    • Friedlander, S. 2001 On nonlinear instability and stability for stratified shear flow. J. Math. Fluid Mech. 3, 82-97.
    • (2001) J. Math. Fluid Mech. , vol.3 , pp. 82-97
    • Friedlander, S.1
  • 14
    • 67649553894 scopus 로고    scopus 로고
    • Localized instabilities in fluids
    • (ed. S. Friedlander & D. Serre) North-Holland
    • Friedlander, S. & Lipton-Lifschitz, A. 2003 Localized instabilities in fluids. In Handbook of Mathematical Fluid Dynamics, vol. 2 (ed. S. Friedlander & D. Serre), pp. 289-354. North-Holland.
    • (2003) Handbook of Mathematical Fluid Dynamics , vol.2 , pp. 289-354
    • Friedlander, S.1    Lipton-Lifschitz, A.2
  • 15
    • 6944255117 scopus 로고
    • Instability criteria for the flow of an inviscid incompressible fluid
    • Friedlander, S. & Vishik, M. M. 1991 Instability criteria for the flow of an inviscid incompressible fluid. Phys. Rev. Lett. 66, 2204-2206.
    • (1991) Phys. Rev. Lett. , vol.66 , pp. 2204-2206
    • Friedlander, S.1    Vishik, M.M.2
  • 16
    • 0001774511 scopus 로고    scopus 로고
    • Hydrodynamic instabilities in open flows
    • (ed. C. Godrèche & P. Manneville) Cambridge University Press
    • Huerre, P. & Rossi, M. 1998 Hydrodynamic instabilities in open flows. In Hydrodynamics and Nonlinear Instabilities (ed. C. Godrèche & P. Manneville), pp. 81-294. Cambridge University Press.
    • (1998) Hydrodynamics and Nonlinear Instabilities , pp. 81-294
    • Huerre, P.1    Rossi, M.2
  • 18
    • 0037465219 scopus 로고    scopus 로고
    • Internal wave resonances in strain flows
    • Leblanc, S. 2003 Internal wave resonances in strain flows. J. Fluid Mech. 477, 259-283.
    • (2003) J. Fluid Mech. , vol.477 , pp. 259-283
    • Leblanc, S.1
  • 19
    • 2442646216 scopus 로고    scopus 로고
    • Local stability of Gerstner's waves
    • Leblanc, S. 2004 Local stability of Gerstner's waves. J. Fluid Mech. 506, 245-254.
    • (2004) J. Fluid Mech. , vol.506 , pp. 245-254
    • Leblanc, S.1
  • 21
    • 0034326406 scopus 로고    scopus 로고
    • Three-dimensional instability of a multipolar vortex in a rotating flow
    • Le Dizès, S. 2000 Three-dimensional instability of a multipolar vortex in a rotating flow. Phys. Fluids 12, 2762-2774.
    • (2000) Phys. Fluids , vol.12 , pp. 2762-2774
    • Le Dizès, S.1
  • 22
    • 0001530252 scopus 로고
    • On the instability of certain motions of an ideal incompressible fluid
    • Lifschitz, A. 1994 On the instability of certain motions of an ideal incompressible fluid. Adv. Appl. Maths 15, 404-436.
    • (1994) Adv. Appl. Maths , vol.15 , pp. 404-436
    • Lifschitz, A.1
  • 23
    • 0025960023 scopus 로고
    • Local stability conditions in fluid dynamics
    • Lifschitz, A. & Hameiri, E. 1991 Local stability conditions in fluid dynamics. Phys. Fluids A 3, 2644-2651.
    • (1991) Phys. Fluids A , vol.3 , pp. 2644-2651
    • Lifschitz, A.1    Hameiri, E.2
  • 24
    • 36449004014 scopus 로고
    • Elliptical instability in a stably stratified rotating fluid
    • Miyazaki, T. 1993 Elliptical instability in a stably stratified rotating fluid. Phys. Fluids A 5, 2702-2709.
    • (1993) Phys. Fluids A , vol.5 , pp. 2702-2709
    • Miyazaki, T.1
  • 25
    • 36449001648 scopus 로고
    • Three-dimensional instability of strained vortices in a stably stratified fluid
    • Miyazaki, T. & Fukumoto, Y. 1992 Three-dimensional instability of strained vortices in a stably stratified fluid. Phys. Fluids A 4, 2515-2522.
    • (1992) Phys. Fluids A , vol.4 , pp. 2515-2522
    • Miyazaki, T.1    Fukumoto, Y.2
  • 26
    • 0028976346 scopus 로고
    • Three-dimensional instability of Kirchhoff's elliptic vortex
    • Miyazaki, T., Imai, T. & Fukumoto, Y. 1994 Three-dimensional instability of Kirchhoff's elliptic vortex. Phys. Fluids 7, 195-202.
    • (1994) Phys. Fluids , vol.7 , pp. 195-202
    • Miyazaki, T.1    Imai, T.2    Fukumoto, Y.3
  • 27
    • 0021426824 scopus 로고
    • Three-dimensional stability of an elliptical vortex in a straining field
    • Robinson, A. C. & Saffman, P. G. 1984 Three-dimensional stability of an elliptical vortex in a straining field. J. Fluid Mech. 142, 451-466.
    • (1984) J. Fluid Mech. , vol.142 , pp. 451-466
    • Robinson, A.C.1    Saffman, P.G.2
  • 29
    • 0024113006 scopus 로고
    • Three-dimensional instability of an elliptic Kirchhoff vortex
    • Vladimirov, V. A. & Il'in, K. I. 1988 Three-dimensional instability of an elliptic Kirchhoff vortex. Fluid Dyn. 23, 356-360.
    • (1988) Fluid Dyn. , vol.23 , pp. 356-360
    • Vladimirov, V.A.1    Il'in, K.I.2
  • 30
    • 36549096042 scopus 로고
    • On the three-dimensional instability of strained vortices
    • Waleffe, F. 1990 On the three-dimensional instability of strained vortices. Phys. Fluids A 2, 76-80.
    • (1990) Phys. Fluids A , vol.2 , pp. 76-80
    • Waleffe, F.1
  • 31
    • 0035949730 scopus 로고    scopus 로고
    • Matrix approach to Lagrangian fluid dynamics
    • Yakubovich, E. I. & Zenkovich, D. A. 2001 Matrix approach to Lagrangian fluid dynamics. J. Fluid Mech. 443, 167-196.
    • (2001) J. Fluid Mech. , vol.443 , pp. 167-196
    • Yakubovich, E.I.1    Zenkovich, D.A.2
  • 32
    • 0008816996 scopus 로고
    • On the backreaction of acoustic radiation for distributed two-dimensional vortex structures
    • Zeitlin, V. 1991 On the backreaction of acoustic radiation for distributed two-dimensional vortex structures. Phys. Fluids A 3, 1677-1680.
    • (1991) Phys. Fluids A , vol.3 , pp. 1677-1680
    • Zeitlin, V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.