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Volumn 9, Issue 4, 1997, Pages 901-909

Angular dependence and growth of vorticity in the three-dimensional Euler equations

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; PRESSURE; THREE DIMENSIONAL; TURBULENT FLOW; VECTORS;

EID: 0031123942     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869186     Document Type: Article
Times cited : (9)

References (35)
  • 1
    • 0026222865 scopus 로고
    • Vorticity, turbuleance and acousties in fluid flow
    • A.Majda, "Vorticity, turbuleance and acousties in fluid flow," SIAM Rev. 33, 349 (1991).
    • (1991) SIAM Rev. , vol.33 , pp. 349
    • Majda, A.1
  • 2
    • 0026138280 scopus 로고
    • The spatial structure and statistical properties of homogeneous turbulence
    • A Vincent and M. Meneguzzi, "The spatial structure and statistical properties of homogeneous turbulence," J.Fluid Mech, 225, 1 (1991).
    • (1991) J.Fluid Mech , vol.225 , pp. 1
    • Vincent, A.1    Meneguzzi, M.2
  • 3
    • 34249838351 scopus 로고
    • Vorticity intensification and transition to turbulence in the three dimensional Euler equations
    • J.B. Bell and D. Marcus, "Vorticity intensification and transition to turbulence in the three dimensional Euler equations," Commun, Mach. Phys. 147, 371 (1992).
    • (1992) Commun, Mach. Phys. , vol.147 , pp. 371
    • Bell, J.B.1    Marcus, D.2
  • 4
    • 0027454950 scopus 로고
    • Evidence for a singularity of the 3-dimensional, incompressible Euler equation
    • R. Kerr, "Evidence for a singularity of the 3-dimensional, incompressible Euler equation," Phys. Fluids A 5, 1725 (1993).
    • (1993) Phys. Fluids A , vol.5 , pp. 1725
    • Kerr, R.1
  • 5
    • 0027949877 scopus 로고
    • Direct numerical simulation of transition to turbulence;large-from a high-symmetry initial condition
    • O. N. Boratav, and R. B.Pelz, "Direct numerical simulation of transition to turbulence;large-from a high-symmetry initial condition," Phys. Fluids A 6, 2757 (1994).
    • (1994) Phys.Fluids A , vol.6 , pp. 2757
    • Boratav, O.N.1    Pelz, R.B.2
  • 6
    • 0028160302 scopus 로고
    • Streched vortices-thesinews of turbulence; Large-Reynolds-number asymptoties
    • H. K. Moffatt, S. Kida, and K. Ohkitani, "Streched vortices-thesinews of turbulence; Large-Reynolds-number asymptoties," J. Fluid Mech. 259, 241 (1994).
    • (1994) J. Fluid Mech. , vol.259 , pp. 241
    • Moffatt, H.K.1    Kida, S.2    Ohkitani, K.3
  • 7
    • 0028388187 scopus 로고
    • Geometric statistics in tuebulence
    • P.Constantin, "Geometric statistics in tuebulence," SIAM Rev. 36, 73 (1994).
    • (1994) SIAM Rev. , vol.36 , pp. 73
    • Constantin, P.1
  • 8
    • 0029140033 scopus 로고
    • Nonlocal nature of vortex stretching in am inviscid fluid
    • K.Ohkitani and S. Kishiba, "Nonlocal nature of vortex stretching in am inviscid fluid," Phys. Fluids A 7, 411, (1995).
    • (1995) Phys. Fluids A , vol.7 , pp. 411
    • Ohkitani, K.1    Kishiba, S.2
  • 9
    • 0028976270 scopus 로고
    • Instability of strained vortex layers and tube formation in homogeneous tubulence
    • T.Passot, H,Politano, P. I. Saiem, J. R. Angilella, and M. Meneguzzi, "Instability of strained vortex layers and tube formation in homogeneous tubulence," J. Fluid Mech. 282, 313, (1995).
    • (1995) J. Fluid Mech. , vol.282 , pp. 313
    • Passot, T.1    Politano, H.2    Saiem, P.I.3    Angilella, J.R.4    Meneguzzi, M.5
  • 10
    • 0003015586 scopus 로고
    • Creation and dymanics of vortex tubes in three-dimensional tubulence
    • P.Constintin, I. Procaccia, and D. Segel,"Creation and dymanics of vortex tubes in three-dimensional tubulence," Phys. Rev. E 51, 3207, (1995).
    • (1995) Phys. Rev. E , vol.51 , pp. 3207
    • Constintin, P.1    Procaccia, I.2    Segel, D.3
  • 11
    • 5244275339 scopus 로고
    • The evolutions of a turbulence vortex
    • A.Chorin, "The evolutions of a turbulence vortex," Commonum, Math. Phys. 83, 517, (1982).
    • (1982) Commonum, Math. Phys. , vol.83 , pp. 517
    • Chorin, A.1
  • 12
    • 0022145513 scopus 로고
    • Magnetoatatic equilibria and analogones Euler flows of arbility complex topology Part 1. Fundamentals
    • H. K. Moffart,"Magnetoatatic equilibria and analogones Euler flows of arbility complex topology Part 1. Fundamentals." J. Fluids Mech. 159, 359 (1985).
    • (1985) J. Fluids Mech. , vol.159 , pp. 359
    • Moffart, H.K.1
  • 13
    • 0022717413 scopus 로고
    • Magnetoatatic equilibria and analogous Euler flows of arbitrary complex topology Part 2. Stability considerations
    • H. K. Moffati, "Magnetoatatic equilibria and analogous Euler flows of arbitrary complex topology Part 2. Stability considerations," J. Fluid Mech. 166, 359, (1986).
    • (1986) J. Fluid Mech. , vol.166 , pp. 359
    • Moffati, H.K.1
  • 14
    • 0000385525 scopus 로고    scopus 로고
    • Geoenetic constraints on potentially singuler solutiones for the 3-D Euler equitiones
    • P.Constantin, Ch. Fefferman, and A. Majda, "Geoenetic constraints on potentially singuler solutiones for the 3-D Euler equitiones," Commoun Partial Diff. Eqs. 21, 559, (1996).
    • (1996) Commoun Partial Diff. Eqs. , vol.21 , pp. 559
    • Constantin, P.1    Fefferman, Ch.2    Majda, A.3
  • 15
    • 0023147375 scopus 로고
    • Aligment of vorticity and scalar gradient with strain rate in simulatted Navier-Stokers turbulence
    • W.Ashurst, W.Kersaein, R.Kerr, and C. Gibson, "Aligment of vorticity and scalar gradient with strain rate in simulatted Navier-Stokers turbulence," Phys. Fluids 30, 2343 (1987).
    • (1987) Phys. Fluids , vol.30 , pp. 2343
    • Ashurst, W.1    Kersaein, W.2    Kerr, R.3    Gibson, C.4
  • 16
    • 0000021834 scopus 로고
    • Collapsing solutions to the 3-D Euler equations
    • A Purnir and E. Siggia "Collapsing solutions to the 3-D Euler equations," Phys. Fluids A 2, 220, (1990)
    • (1990) Phys. Fluids A , vol.2 , pp. 220
    • Purnir, A.1    Siggia, E.2
  • 17
    • 0042284161 scopus 로고    scopus 로고
    • Geometrical statiscs in turbulence
    • A.Tsinober,"Geometrical statiscs in turbulence," Adv. Turbullence 6, 263 (1996).
    • (1996) Adv. Turbullence , vol.6 , pp. 263
    • Tsinober, A.1
  • 18
    • 0004691368 scopus 로고
    • Pressure gradient alignment with strain rate and scalar gradient in simulated Navier-Stokes tubulence
    • W.Ashurst,J.Y.Chen, and M. M. Rogers, "Pressure gradient alignment with strain rate and scalar gradient in simulated Navier-Stokes tubulence," Phys. Fluids 30,3293 (1987).
    • (1987) Phys. Fluids , vol.30 , pp. 3293
    • Ashurst, W.1    Chen, J.Y.2    Rogers, M.M.3
  • 19
    • 0026799539 scopus 로고
    • Experrimental inverstigationof the field of velocity gradients in turbulance flows
    • A.Tsinober, E. Kit, and T. Dracos, "Experrimental inverstigationof the field of velocity gradients in turbulance flows," J.Fluid Mech. 242,169, (1992).
    • (1992) J.Fluid Mech. , vol.242 , pp. 169
    • Tsinober, A.1    Kit, E.2    Dracos, T.3
  • 20
    • 0000646280 scopus 로고
    • Direction of vorticity and theproblem of globle regularity for the Navier-Stokea equations
    • P. Constantin and Ch. Feffertman, "Direction of vorticity and theproblem of globle regularity for the Navier-Stokea equations," Indiana Univ. J. 42, 775, (1993).
    • (1993) Indiana Univ. J. , vol.42 , pp. 775
    • Constantin, P.1    Feffertman, Ch.2
  • 21
    • 0026792094 scopus 로고
    • The kinematies of streching and alignment of material elements in general flow fields
    • E.Dressuelhnus and M. Tobor, "The kinematies of streching and alignment of material elements in general flow fields," J. Fluid Mech 236, 415 (1991).
    • (1991) J. Fluid Mech , vol.236 , pp. 415
    • Dressuelhnus, E.1    Tobor, M.2
  • 22
    • 0028442729 scopus 로고
    • Strwching and alignment in chaotic and turbulence flows
    • M.Tabor and I.Klapper, "Strwching and alignment in chaotic and turbulence flows," Chaos Solitons Fract. 4, 1031 (1994).
    • (1994) Chaos Solitons Fract. , vol.4 , pp. 1031
    • Tabor, M.1    Klapper, I.2
  • 23
    • 0026788729 scopus 로고
    • Kinematic alignmetic effects in turbulenet flows
    • J. Jirniénez "Kinematic alignmetic effects in turbulenet flows," Phys. Fluids A 4, 652 (1992).
    • (1992) Phys. Fluids A , vol.4 , pp. 652
    • Jirniénez, J.1
  • 24
    • 84975988649 scopus 로고
    • On some kinematic versus dynamic properties of homogeneous turbulence
    • L. Shtilman, M. Spector, and A. Tsinober, "On some kinematic versus dynamic properties of homogeneous turbulence," J. Fluid Mech. 287, 65 (1993).
    • (1993) J. Fluid Mech. , vol.287 , pp. 65
    • Shtilman, L.1    Spector, M.2    Tsinober, A.3
  • 25
    • 0041556862 scopus 로고
    • Vortex streching and enstrophy generation in numerical and laboratory turbulence
    • Small scale strectures in Three-Dimensional Hydro-and Magnenodynamatic Turbulence, edited by M. Memeguzzi, A. Poroquet, and P. L. Sulem Springer, Verlag, Berlin
    • A. Tsinober, I. Shtilman, A. Sinyavskill, and H. Vaisburd, "Vortex streching and enstrophy generation in numerical and laboratory turbulence," in Small scale strectures in Three-Dimensional Hydro-and Magnenodynamatic Turbulence, Lecture Notes in Physics edited by M. Memeguzzi, A. Poroquet, and P. L. Sulem (Springer, Verlag, Berlin, 1995). Vol. 462, p.17.
    • (1995) Lecture Notes in Physics , vol.462 , pp. 17
    • Tsinober, A.1    Shtilman, I.2    Sinyavskill, A.3    Vaisburd, H.4
  • 26
    • 0029380144 scopus 로고
    • On aligntnents and small scale structure in turbulent pipe flow
    • A. Tsinober, J. Eggels, and F. Nieurwstadt, "On aligntnents and small scale structure in turbulent pipe flow," Fluid Dyn. Res. 16, 297 (1995).
    • (1995) Fluid Dyn. Res. , vol.16 , pp. 297
    • Tsinober, A.1    Eggels, J.2    Nieurwstadt, F.3
  • 27
    • 34250136481 scopus 로고
    • Remarks on the breakdown of smooth solutions for the 3-D Euler equations
    • J. T. Beale, T. Kato, and A. Majda, "Remarks on the breakdown of smooth solutions for the 3-D Euler equations," Commun. Math. Phys. 94, 61 (1984).
    • (1984) Commun. Math. Phys. , vol.94 , pp. 61
    • Beale, J.T.1    Kato, T.2    Majda, A.3
  • 28
    • 6244235593 scopus 로고
    • Cambridge University Press, Cambridge
    • P. G. Saffman, Vortex Dymamics (Cambridge University Press, Cambridge, 1993).
    • (1993) Vortex Dymamics
    • Saffman, P.G.1
  • 29
    • 36449005675 scopus 로고
    • Eigenvalue problems in three-dimensional Euler flows
    • K. Ohkitani, "Eigenvalue problems in three-dimensional Euler flows," Phys. Fluids A 5, 2570, (1993).
    • (1993) Phys. Fluids A , vol.5 , pp. 2570
    • Ohkitani, K.1
  • 30
    • 18844449791 scopus 로고
    • Exact solution of a restricted Euler equation for the velocity gradient tensor
    • B. J. Cantwell, "Exact solution of a restricted Euler equation for the velocity gradient tensor," Phys. Fluids A 4, 782 (1992).
    • (1992) Phys. Fluids A , vol.4 , pp. 782
    • Cantwell, B.J.1
  • 32
    • 0014441553 scopus 로고
    • The degree of knoctedness in tangled vortex lines
    • H. K. Moffart, "The degree of knoctedness in tangled vortex lines," J. Fluid Mech. 35, 117 (1969).
    • (1969) J. Fluid Mech. , vol.35 , pp. 117
    • Moffart, H.K.1
  • 33
    • 0019562987 scopus 로고
    • Some development in the theory of turbulence
    • H. K. Moffart, "Some development in the theory of turbulence," J. Fluid Mech. 106, 27 (1981).
    • (1981) J. Fluid Mech. , vol.106 , pp. 27
    • Moffart, H.K.1
  • 34
    • 0006748306 scopus 로고
    • Singular front formation in a model for quasi-geostrophic flow
    • P. Constantin, A. Majda, and E. Tabak, "Singular front formation in a model for quasi-geostrophic flow," Phys. Fluids A 6, 9 (1994).
    • (1994) Phys. Fluids A , vol.6 , pp. 9
    • Constantin, P.1    Majda, A.2    Tabak, E.3
  • 35
    • 0043172071 scopus 로고
    • Formation of strong fronts in the 2D quasi-geostrophic thermal active scalar
    • P. Constantin, A. Majda, and E. Tabak, "Formation of strong fronts in the 2D quasi-geostrophic thermal active scalar," Nonlinearity 7, 1495 (1994).
    • (1994) Nonlinearity , vol.7 , pp. 1495
    • Constantin, P.1    Majda, A.2    Tabak, E.3


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