메뉴 건너뛰기




Volumn 477, Issue , 2003, Pages 51-88

The 1:2 mode interaction in exactly counter-rotating von Kármán swirling flow

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); CYLINDERS (SHAPES); DISKS (STRUCTURAL COMPONENTS); EIGENVALUES AND EIGENFUNCTIONS; REYNOLDS NUMBER;

EID: 0037465213     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112002003075     Document Type: Article
Times cited : (88)

References (63)
  • 1
    • 0000578457 scopus 로고
    • O(2)-symmetric bifurcation theory for convection rolls
    • ARMBRUSTER, D. 1987 O(2)-symmetric bifurcation theory for convection rolls. Physica D 27, 433-439.
    • (1987) Physica D , vol.27 , pp. 433-439
    • Armbruster, D.1
  • 2
    • 45549113061 scopus 로고
    • Heteroclinic cycles and modulated travelling waves in systems with O(2) symmetry
    • ARMBRUSTER, D., GUCKENHEIMER, J. & HOLMES, P. 1988 Heteroclinic cycles and modulated travelling waves in systems with O(2) symmetry. Physica D 29, 257-282.
    • (1988) Physica D , vol.29 , pp. 257-282
    • Armbruster, D.1    Guckenheimer, J.2    Holmes, P.3
  • 3
    • 84972308308 scopus 로고
    • The dynamics of coherent structures in the wall region of a turbulent boundary layer
    • AUBRY, N., HOLMES, P., LUMLEY, J. L. & STONE, E. (1988) The dynamics of coherent structures in the wall region of a turbulent boundary layer. J. Fluid Mech. 192, 115-173.
    • (1988) J. Fluid Mech. , vol.192 , pp. 115-173
    • Aubry, N.1    Holmes, P.2    Lumley, J.L.3    Stone, E.4
  • 4
    • 2642573390 scopus 로고    scopus 로고
    • A finite differences method in cylindrical coordinates for 3D incompressible flows
    • Swansea (UK)
    • BARBOSA, E. & DAUBE, O. 2001 A finite differences method in cylindrical coordinates for 3D incompressible flows. ECCOMAS Computational Fluid Dynamics Conference 2001. Swansea (UK).
    • (2001) ECCOMAS Computational Fluid Dynamics Conference 2001
    • Barbosa, E.1    Daube, O.2
  • 5
    • 8644270144 scopus 로고
    • Note on a class of solutions of the Navier-Stokes equations representing steady rotationally-symmetric flow
    • BATCHELOR, G. K. 1951 Note on a class of solutions of the Navier-Stokes equations representing steady rotationally-symmetric flow. Q. J. Mech. Appl. Maths 4, 29-41.
    • (1951) Q. J. Mech. Appl. Maths , vol.4 , pp. 29-41
    • Batchelor, G.K.1
  • 7
    • 0000358286 scopus 로고
    • Stability of a shear layer between parallel streams
    • BETCHOV, R. & SZEWCZYK, A. 1963 Stability of a shear layer between parallel streams. Phys. Fluids 6, 1391-1396.
    • (1963) Phys. Fluids , vol.6 , pp. 1391-1396
    • Betchov, R.1    Szewczyk, A.2
  • 8
    • 0034325238 scopus 로고    scopus 로고
    • Symmetry breaking of the flow in a cylinder driven by a rotating end wall
    • BLACKBURN, H. M. & LOPEZ, J. M. 2000 Symmetry breaking of the flow in a cylinder driven by a rotating end wall. Phys. Fluids 12, 2698-2701.
    • (2000) Phys. Fluids , vol.12 , pp. 2698-2701
    • Blackburn, H.M.1    Lopez, J.M.2
  • 9
    • 0037173986 scopus 로고    scopus 로고
    • Modulated rotating waves in an enclosed swirling flow
    • BLACKBURN, H. M. & LOPEZ, J. M. 2002 Modulated rotating waves in an enclosed swirling flow. J. Fluid Mech. 465, 33-58.
    • (2002) J. Fluid Mech. , vol.465 , pp. 33-58
    • Blackburn, H.M.1    Lopez, J.M.2
  • 12
    • 0029104416 scopus 로고
    • Characterization of the low-pressure filaments in a three dimensional turbulent shear flow
    • CADOT, O., DOUADY, S. & COUDEF, Y. 1995 Characterization of the low-pressure filaments in a three dimensional turbulent shear flow. Phys. Fluids 7, 630-646.
    • (1995) Phys. Fluids , vol.7 , pp. 630-646
    • Cadot, O.1    Douady, S.2    Couder, Y.3
  • 14
    • 0000846954 scopus 로고    scopus 로고
    • Sur la nature de la première bifurcation des écoulements interdisques
    • COUSIN-RITTEMARD, N., DAUBE, O. & LE QUÉRÉ, P. 1998 Sur la nature de la première bifurcation des écoulements interdisques. C. R. Acad. Sci. Paris 326, 359-366.
    • (1998) C. R. Acad. Sci. Paris , vol.326 , pp. 359-366
    • Cousin-Rittemard, N.1    Daube, O.2    Le Quéré, P.3
  • 15
    • 0002766333 scopus 로고    scopus 로고
    • Mode interactions in Rayleigh-Bénard convection
    • COX, S. 1996 Mode interactions in Rayleigh-Bénard convection. Physica D 95, 50-61.
    • (1996) Physica D , vol.95 , pp. 50-61
    • Cox, S.1
  • 16
    • 0003078274 scopus 로고
    • Symmetry and symmetry-breaking bifurcations in fluid dynamics
    • CRAWFORD, J. D. & KNOBLOCH, E. 1991 Symmetry and symmetry-breaking bifurcations in fluid dynamics. Annu. Rev. Fluid Mech. 23, 341-387.
    • (1991) Annu. Rev. Fluid Mech. , vol.23 , pp. 341-387
    • Crawford, J.D.1    Knobloch, E.2
  • 17
    • 84954683140 scopus 로고
    • Steady-state mode interaction in the presence of O(2) symmetry
    • DANGELMAYR, G. 1986 Steady-state mode interaction in the presence of O(2) symmetry. Dynamics and Stability of Systems 1, 159-185.
    • (1986) Dynamics and Stability of Systems , vol.1 , pp. 159-185
    • Dangelmayr, G.1
  • 18
    • 0000172923 scopus 로고
    • Simulation numérique de l'écoulement périodique axisymétrique dans une cavité cylindrique
    • DAUBE, O. & SORENSEN, J. N. 1989 Simulation numérique de l'écoulement périodique axisymétrique dans une cavité cylindrique. C. R. Acad. Sci. Paris 308, 463-469.
    • (1989) C. R. Acad. Sci. Paris , vol.308 , pp. 463-469
    • Daube, O.1    Sorensen, J.N.2
  • 19
    • 0003321356 scopus 로고    scopus 로고
    • Influence of curvature on transition to unsteadiness and chaos of rotor-stator disk flows
    • submitted
    • DAUBE, O., LE QUÉRÉ, P., COUSIN-RITTEMARD, N. & JACQUES, R. 2001. Influence of curvature on transition to unsteadiness and chaos of rotor-stator disk flows J. Fluid Mech. (submitted).
    • (2001) J. Fluid Mech.
    • Daube, O.1    Le Quéré, P.2    Cousin-Rittemard, N.3    Jacques, R.4
  • 20
    • 0001042852 scopus 로고
    • Direct observation of the intermittency of intense vorticity filaments in turbulence
    • DOUADY, S., COUDER, Y. & BRACHET, M. E. 1991 Direct observation of the intermittency of intense vorticity filaments in turbulence. Phys. Rev. Lett. 67, 983-986.
    • (1991) Phys. Rev. Lett. , vol.67 , pp. 983-986
    • Douady, S.1    Couder, Y.2    Brachet, M.E.3
  • 21
    • 0021593412 scopus 로고
    • Observations of the flow produced in a cylindrical container by a rotating endwall
    • ESCUDIER, M. P. 1984 Observations of the flow produced in a cylindrical container by a rotating endwall. Exps. Fluids 2, 189-196.
    • (1984) Exps. Fluids , vol.2 , pp. 189-196
    • Escudier, M.P.1
  • 22
    • 0037176327 scopus 로고    scopus 로고
    • Instabilities of the flow between co and counter-rotating disks
    • GAUTHIER, G., GONDRET, P., MOISY, F. & RABAUD, M. 2002 Instabilities of the flow between co and counter-rotating disks. J. Fluid Mech. 473, 1-21.
    • (2002) J. Fluid Mech. , vol.473 , pp. 1-21
    • Gauthier, G.1    Gondret, P.2    Moisy, F.3    Rabaud, M.4
  • 23
    • 0032640115 scopus 로고    scopus 로고
    • Axisymmetric propagating vortices in the flow between a stationary and a rotating disk enclosed by a cylinder
    • GAUTHIER, G., GONDRET, P. & RABAUD, M. 1999 Axisymmetric propagating vortices in the flow between a stationary and a rotating disk enclosed by a cylinder. J. Fluid Mech. 386, 105-126.
    • (1999) J. Fluid Mech. , vol.386 , pp. 105-126
    • Gauthier, G.1    Gondret, P.2    Rabaud, M.3
  • 24
    • 0030477403 scopus 로고    scopus 로고
    • Steady states and oscillatory instability of swirling flow in a cylinder with rotating top and bottom
    • GELFGAT, Y. A., BAR-YOSEPH, P. Z. & SOLAN, A. 1996a Steady states and oscillatory instability of swirling flow in a cylinder with rotating top and bottom. Phys. Fluids 8, 2614-2625.
    • (1996) Phys. Fluids , vol.8 , pp. 2614-2625
    • Gelfgat, Y.A.1    Bar-yoseph, P.Z.2    Solan, A.3
  • 25
    • 0030350837 scopus 로고    scopus 로고
    • Confined swirling flow simulation using spectral Galerkin and finite volume methods
    • GELFGAT, Y. A., BAR-YOSEPH, P. Z. & SOLAN, A. 1996b Confined swirling flow simulation using spectral Galerkin and finite volume methods. FED-ASME 238, 105-111.
    • (1996) FED-ASME , vol.238 , pp. 105-111
    • Gelfgat, Y.A.1    Bar-Yoseph, P.Z.2    Solan, A.3
  • 26
    • 0035838490 scopus 로고    scopus 로고
    • Three-dimensional instability of axisymmetric flow in a rotating lid-cylinder enclosure
    • GELFGAT, Y. A., BAR-YOSEPH, P. Z., & SOLAN, A. 2001 Three-dimensional instability of axisymmetric flow in a rotating lid-cylinder enclosure. J. Fluid Mech. 438, 363-377.
    • (2001) J. Fluid Mech. , vol.438 , pp. 363-377
    • Gelfgat, Y.A.1    Bar-Yoseph, P.Z.2    Solan, A.3
  • 27
    • 0018330228 scopus 로고
    • A multistep technique with implicit difference schemes for calculating two- or three-dimensional cavity flows
    • GODA, K. 1979 A multistep technique with implicit difference schemes for calculating two- or three-dimensional cavity flows. J. Comput. Phys. 30, 76-95.
    • (1979) J. Comput. Phys. , vol.30 , pp. 76-95
    • Goda, K.1
  • 29
    • 49249143705 scopus 로고
    • The accurate solution of Poisson's equation by expansions in Chebychev polynomials
    • HAIDVOGEL, D. B. & ZANG, T. 1979 The accurate solution of Poisson's equation by expansions in Chebychev polynomials. J. Comput. Phys. 30, 167-180.
    • (1979) J. Comput. Phys. , vol.30 , pp. 167-180
    • Haidvogel, D.B.1    Zang, T.2
  • 30
    • 0029676659 scopus 로고    scopus 로고
    • Secondary instability in the wake of a circular cylinder
    • HENDERSON, R. D. & BARKLEY, D. 1996 Secondary instability in the wake of a circular cylinder. Phys. Fluids 8, 1683-1685.
    • (1996) Phys. Fluids , vol.8 , pp. 1683-1685
    • Henderson, R.D.1    Barkley, D.2
  • 31
    • 0031071242 scopus 로고    scopus 로고
    • Natural discretizations for the divergence, gradient and curl on logically rectangular grids
    • HYMAN, J. M. & SHASHKOV, M. 1997 Natural discretizations for the divergence, gradient and curl on logically rectangular grids. Comput. Maths Applic. 33, 81-104.
    • (1997) Comput. Maths Applic. , vol.33 , pp. 81-104
    • Hyman, J.M.1    Shashkov, M.2
  • 32
    • 0000888605 scopus 로고
    • Über laminare und turbulente Reibung
    • VON KÁRMÁN, T. 1921 Über laminare und turbulente Reibung. Z. Angew. Math. Mech. 1, 233-252.
    • (1921) Z. Angew. Math. Mech. , vol.1 , pp. 233-252
    • Von Kármán, T.1
  • 33
    • 0025448183 scopus 로고
    • Back in the saddle again: A computer assisted study of the Kuramoto-Sivashinsky equation
    • KEVREKIDIS, I. G., NICOLAENKO, B. & SCOVEL, J. C. 1990 Back in the saddle again: a computer assisted study of the Kuramoto-Sivashinsky equation. SIAM J. Appl. Maths 50, 760-790.
    • (1990) SIAM J. Appl. Maths , vol.50 , pp. 760-790
    • Kevrekidis, I.G.1    Nicolaenko, B.2    Scovel, J.C.3
  • 34
    • 84974489205 scopus 로고
    • Asymptotic stability of heteroclinic cycles in systems with symmetry
    • KRUPA, M. & MELBOURNE, I. 1995 Asymptotic stability of heteroclinic cycles in systems with symmetry. Ergod. Theo. Dyn. Sys. 15, 121-147.
    • (1995) Ergod. Theo. Dyn. Sys. , vol.15 , pp. 121-147
    • Krupa, M.1    Melbourne, I.2
  • 35
    • 0030190267 scopus 로고    scopus 로고
    • Power fluctuations in turbulent swirling flows
    • LABBE, R., PINTON, J.-F. & FAUVE, S. 1996 Power fluctuations in turbulent swirling flows. J. Phys. II France 6, 1099-1110.
    • (1996) J. Phys. II France , vol.6 , pp. 1099-1110
    • Labbe, R.1    Pinton, J.-F.2    Fauve, S.3
  • 36
    • 0034077403 scopus 로고    scopus 로고
    • Using cavitation to measure statistics of low-pressure events in large-Reynolds-number turbulence
    • LA PORTA, A., VOTH, G. A., MOISY, F. & BODENSCHATZ, E. 2000 Using cavitation to measure statistics of low-pressure events in large-Reynolds-number turbulence. Phys. Fluids 12, 1485-1496.
    • (2000) Phys. Fluids , vol.12 , pp. 1485-1496
    • La Porta, A.1    Voth, G.A.2    Moisy, F.3    Bodenschatz, E.4
  • 38
    • 84971945740 scopus 로고
    • Axisymmetric vortex breakdown. Part 1. Confined swirling flow
    • LOPEZ, J. M. 1990 Axisymmetric vortex breakdown. Part 1. Confined swirling flow. J. Fluid Mech. 221, 533-552.
    • (1990) J. Fluid Mech. , vol.221 , pp. 533-552
    • Lopez, J.M.1
  • 39
    • 0030450847 scopus 로고    scopus 로고
    • Flow between a stationary and a rotating disk shrouded by a corotating cylinder
    • LOPEZ, J. M. 1996 Flow between a stationary and a rotating disk shrouded by a corotating cylinder. Phys. Fluids 8, 2605-2613.
    • (1996) Phys. Fluids , vol.8 , pp. 2605-2613
    • Lopez, J.M.1
  • 40
    • 0032024829 scopus 로고    scopus 로고
    • Characteristics of endwall and sidewall boundary layers in a rotating cylinder with a differentially rotating endwall
    • LOPEZ, J. M. 1998 Characteristics of endwall and sidewall boundary layers in a rotating cylinder with a differentially rotating endwall. J. Fluid Mech. 359, 49-79.
    • (1998) J. Fluid Mech. , vol.359 , pp. 49-79
    • Lopez, J.M.1
  • 41
    • 0037055082 scopus 로고    scopus 로고
    • Instability and mode interactions in a differentially-driven rotating cylinder
    • LOPEZ, J. M., HART, J. E., MARQUES, F., KITTELMAN, S. & SHEN, J. 2002 Instability and mode interactions in a differentially-driven rotating cylinder. J. Fluid Mech. 462, 383-409.
    • (2002) J. Fluid Mech. , vol.462 , pp. 383-409
    • Lopez, J.M.1    Hart, J.E.2    Marques, F.3    Kittelman, S.4    Shen, J.5
  • 42
    • 0035948673 scopus 로고    scopus 로고
    • Oscillatory modes in an enclosed swirling flow
    • LOPEZ, J. M., MARQUES, F. & SANCHEZ, J. 2001 Oscillatory modes in an enclosed swirling flow. J. Fluid Mech. 439, 109-129.
    • (2001) J. Fluid Mech. , vol.439 , pp. 109-129
    • Lopez, J.M.1    Marques, F.2    Sanchez, J.3
  • 43
    • 0023367129 scopus 로고
    • Axisymmetric vortex breakdown with and without temperature effects in a container with a rotating lid
    • LUGT, H. J. & ABBOUD, M. 1987 Axisymmetric vortex breakdown with and without temperature effects in a container with a rotating lid. J. Fluid Mech. 179, 179-200.
    • (1987) J. Fluid Mech. , vol.179 , pp. 179-200
    • Lugt, H.J.1    Abboud, M.2
  • 44
    • 0029151986 scopus 로고
    • Asymmetry and Hopf bifurcation in spherical Couette flow
    • MAMUN, C. K. & TUCKERMAN, L. S. 1995 Asymmetry and Hopf bifurcation in spherical Couette flow. Phys. Fluids 7, 80-91.
    • (1995) Phys. Fluids , vol.7 , pp. 80-91
    • Mamun, C.K.1    Tuckerman, L.S.2
  • 46
    • 0035367760 scopus 로고    scopus 로고
    • Precessing vortex breakdown mode in an enclosed cylinder flow
    • MARQUES, F. & LOPEZ, J. M. 2001 Precessing vortex breakdown mode in an enclosed cylinder flow. Phys. Fluids 13, 1679-1682.
    • (2001) Phys. Fluids , vol.13 , pp. 1679-1682
    • Marques, F.1    Lopez, J.M.2
  • 47
    • 0037171419 scopus 로고    scopus 로고
    • Mode interactions in an enclosed swirling flow: A double Hopf bifurcation between azimuthal wavenumbers 0 and 2
    • MARQUES, F., LOPEZ, J. M. & SHEN, J. 2002 Mode interactions in an enclosed swirling flow: a double Hopf bifurcation between azimuthal wavenumbers 0 and 2. J. Fluid Mech. 455, 263-281.
    • (2002) J. Fluid Mech. , vol.455 , pp. 263-281
    • Marques, F.1    Lopez, J.M.2    Shen, J.3
  • 48
    • 0036876571 scopus 로고    scopus 로고
    • Robust heteroclinic cycles in two-dimensional Rayleigh-Bénard convection without Boussinesq symmetry
    • MERCADER, I., PRAT, J. & KNOBLOCH, E. 2001 Robust heteroclinic cycles in two-dimensional Rayleigh-Bénard convection without Boussinesq symmetry. Intl J. Bif. Chaos 12, 2501-2522.
    • (2001) Intl J. Bif. Chaos , vol.12 , pp. 2501-2522
    • Mercader, I.1    Prat, J.2    Knobloch, E.3
  • 49
    • 0000965018 scopus 로고    scopus 로고
    • Advection of a magnetic field by a turbulent swirling flow
    • ODIER, P., PINTON, J.-F. & FAUVE, F. 1998 Advection of a magnetic field by a turbulent swirling flow. Phys. Rev. E 58, 7397-7401.
    • (1998) Phys. Rev. E , vol.58 , pp. 7397-7401
    • Odier, P.1    Pinton, J.-F.2    Fauve, F.3
  • 50
    • 0035890542 scopus 로고    scopus 로고
    • New type of complex dynamics in the 1:2 spatial resonance
    • PORTER, J. & KNOBLOCH, E. 2001 New type of complex dynamics in the 1:2 spatial resonance. Physica D 159, 125-154.
    • (2001) Physica D , vol.159 , pp. 125-154
    • Porter, J.1    Knobloch, E.2
  • 51
    • 84971848073 scopus 로고
    • The interaction of two spatially resonant patterns in thermal convection. Part 1. Exact 1:2 resonance
    • PROCTOR, M. R. E. & JONES, C. A. 1988 The interaction of two spatially resonant patterns in thermal convection. Part 1. Exact 1:2 resonance. J. Fluid Mech. 188, 301-335.
    • (1988) J. Fluid Mech. , vol.188 , pp. 301-335
    • Proctor, M.R.E.1    Jones, C.A.2
  • 52
    • 0000048673 scopus 로고
    • GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems
    • SAAD, Y. & SCHULTZ, M. H. 1986 GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM J. Sci. Stat. Comput. 7, 856-869.
    • (1986) SIAM J. Sci. Stat. Comput. , vol.7 , pp. 856-869
    • Saad, Y.1    Schultz, M.H.2
  • 53
    • 0000712188 scopus 로고    scopus 로고
    • Stability of a travelling roll system in a rotating disk flow
    • SCHOUVEILER, L., LE GAL, P. & CHAUVE, M.-P. 1998 Stability of a travelling roll system in a rotating disk flow. Phys. Fluids 10, 2695-2697.
    • (1998) Phys. Fluids , vol.10 , pp. 2695-2697
    • Schouveiler, L.1    Le Gal, P.2    Chauve, M.-P.3
  • 54
    • 0035949757 scopus 로고    scopus 로고
    • Instabilities of the flow between a rotating and a stationary disk
    • SCHOUVEILER, L., LE GAL, P. & CHAUVE, M.-P. 2001 Instabilities of the flow between a rotating and a stationary disk. J. Fluid Mech. 443, 329-350.
    • (2001) J. Fluid Mech. , vol.443 , pp. 329-350
    • Schouveiler, L.1    Le Gal, P.2    Chauve, M.-P.3
  • 55
    • 0035837279 scopus 로고    scopus 로고
    • Annular and spiral patterns in flows between rotating and stationary disks
    • SERRE, E., CRESPO DEL ARCO, E. & BONTOUX, P. 2001 Annular and spiral patterns in flows between rotating and stationary disks. J. Fluid Mech. 434, 65-100.
    • (2001) J. Fluid Mech. , vol.434 , pp. 65-100
    • Serre, E.1    Crespo Del Arco, E.2    Bontoux, P.3
  • 57
    • 0032193159 scopus 로고    scopus 로고
    • Transition from bubble-type vortex breakdown to columnar vortex in a confined swirling flow
    • SOTIROPOULOS, F. & VENTIKOS, Y. 1998 Transition from bubble-type vortex breakdown to columnar vortex in a confined swirling flow. Intl J. Heat Fluid Flow 19, 446-458.
    • (1998) Intl J. Heat Fluid Flow , vol.19 , pp. 446-458
    • Sotiropoulos, F.1    Ventikos, Y.2
  • 58
    • 0035835276 scopus 로고    scopus 로고
    • The three-dimensional structure of confined swirling flows with vortex breakdown
    • SOTIROPOULOS, F. & VENTIKOS, Y. 2001 The three-dimensional structure of confined swirling flows with vortex breakdown. J. Fluid Mech. 426, 155-175.
    • (2001) J. Fluid Mech. , vol.426 , pp. 155-175
    • Sotiropoulos, F.1    Ventikos, Y.2
  • 59
    • 0032164258 scopus 로고    scopus 로고
    • Experiments on vortex breakdown in a confined flow generated by a rotating disk
    • SPOHN, A., MORY, M. & HOPFINGER, E. J. 1998 Experiments on vortex breakdown in a confined flow generated by a rotating disk. J. Fluid Mech. 370, 73-99.
    • (1998) J. Fluid Mech. , vol.370 , pp. 73-99
    • Spohn, A.1    Mory, M.2    Hopfinger, E.J.3
  • 60
    • 0032661458 scopus 로고    scopus 로고
    • Oscillatory flow states in an enclosed cylinder with a rotating endwall
    • STEVENS, J. L., LOPEZ, J. M. & CANTWELL, B. J. 1999 Oscillatory flow states in an enclosed cylinder with a rotating endwall. J. Fluid Mech. 389, 101-118.
    • (1999) J. Fluid Mech. , vol.389 , pp. 101-118
    • Stevens, J.L.1    Lopez, J.M.2    Cantwell, B.J.3
  • 61
    • 0001182405 scopus 로고
    • A pseudo-spectral solution of vorticity - Stream-function equations using the influence matrix technique
    • Clarendon
    • VANEL, J. M., PEYRET, R. & BONTOUX, P. 1986 A pseudo-spectral solution of vorticity - stream-function equations using the influence matrix technique. Numerical Methods in Fluid Dynamics, vol. 2. pp. 463-475. Clarendon.
    • (1986) Numerical Methods in Fluid Dynamics , vol.2 , pp. 463-475
    • Vanel, J.M.1    Peyret, R.2    Bontoux, P.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.