메뉴 건너뛰기




Volumn 644, Issue , 2010, Pages 61-95

Simulations of shear instabilities in interfacial gravity waves

Author keywords

[No Author keywords available]

Indexed keywords

GRAVITY WAVES; LINEAR STABILITY ANALYSIS; NUMERICAL METHODS; OCEANOGRAPHY; SHEAR FLOW; SOLITONS; STRAIN RATE;

EID: 77952343688     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112009992035     Document Type: Article
Times cited : (70)

References (61)
  • 1
    • 0008688174 scopus 로고    scopus 로고
    • A conservative adaptive projection method for the variable density incompressible Navier-Stokes equations
    • Almgren, A. S., Bell, J. B., Colella, P., Howell, L. H. & Welcome, M. L. 1998 A conservative adaptive projection method for the variable density incompressible Navier-Stokes equations. J. Comput. Phys. 142, 1-46.
    • (1998) J. Comput. Phys. , vol.142 , pp. 1-46
    • Almgren, A.S.1    Bell, J.B.2    Colella, P.3    Howell, L.H.4    Welcome, M.L.5
  • 2
    • 33645865534 scopus 로고
    • The flow of mediterranean water through the Strait of Gibraltar
    • Armi, L. & Farmer, D. M. 1988 The flow of mediterranean water through the Strait of Gibraltar. Prog. Oceanogr. 21 (1), 1.
    • (1988) Prog. Oceanogr. , vol.21 , Issue.1 , pp. 1
    • Armi, L.1    Farmer, D.M.2
  • 3
    • 20344393858 scopus 로고    scopus 로고
    • A fourth-order accurate adaptive mesh refinement method for Poisson's equation
    • Barad, M. F. & Colella, P. 2005 A fourth-order accurate adaptive mesh refinement method for Poisson's equation. J. Comput. Phys. 209 (1), 1-18.
    • (2005) J. Comput. Phys. , vol.209 , Issue.1 , pp. 1-18
    • Barad, M.F.1    Colella, P.2
  • 4
    • 67649995714 scopus 로고    scopus 로고
    • An adaptive cut-cell method for environmental fluid mechanics
    • Barad, M. F., Colella, P. & Schladow, S. G. 2009 An adaptive cut-cell method for environmental fluid mechanics. Intl J. Numer. Meth. Fluids 60 (5), 473-514.
    • (2009) Intl J. Numer. Meth. Fluids , vol.60 , Issue.5 , pp. 473-514
    • Barad, M.F.1    Colella, P.2    Schladow, S.G.3
  • 6
    • 0000843403 scopus 로고
    • Three-dimensional adaptive mesh refinement for hyperbolic conservation laws
    • Bell, J., Berger, M., Saltzman, J. & Welcome, M. 1994 Three-dimensional adaptive mesh refinement for hyperbolic conservation laws. SIAM J. Sci. Comput. 15 (1), 127-138.
    • (1994) SIAM J. Sci. Comput. , vol.15 , Issue.1 , pp. 127-138
    • Bell, J.1    Berger, M.2    Saltzman, J.3    Welcome, M.4
  • 7
    • 0001608079 scopus 로고
    • A second-order projection method for the incompressible Navier-Stokes equations
    • Bell, J. B., Colella, P. & Glaz, H. M. 1989 A second-order projection method for the incompressible Navier-Stokes equations. J. Comput. Phys. 85, 257-283.
    • (1989) J. Comput. Phys. , vol.85 , pp. 257-283
    • Bell, J.B.1    Colella, P.2    Glaz, H.M.3
  • 9
    • 11744289966 scopus 로고
    • Local adaptive mesh refinement for shock hydrodynamics
    • Berger, M. J. & Colella, P. 1989 Local adaptive mesh refinement for shock hydrodynamics. J. Comput. Phys. 82 (1), 64-84.
    • (1989) J. Comput. Phys. , vol.82 , Issue.1 , pp. 64-84
    • Berger, M.J.1    Colella, P.2
  • 12
    • 0027804941 scopus 로고
    • A simple model for the shear induced decay of an internal solitary wave
    • Bogucki, D. & Garrett, C. 1993 A simple model for the shear induced decay of an internal solitary wave. J. Phys. Oceanogr. 23 (8), 1767-1776.
    • (1993) J. Phys. Oceanogr. , vol.23 , Issue.8 , pp. 1767-1776
    • Bogucki, D.1    Garrett, C.2
  • 13
    • 17744410241 scopus 로고
    • Experimental study of internal waves over a slope
    • Cacchione, D. & Wunsch, C. 1974 Experimental study of internal waves over a slope. J. Fluid Mech. 66, 223-239.
    • (1974) J. Fluid Mech , vol.66 , pp. 223-239
    • Cacchione, D.1    Wunsch, C.2
  • 14
    • 22344439233 scopus 로고    scopus 로고
    • Internal waves, solitary-like waves, and mixing on the Monterey Bay shelf
    • Carter, G. S., Gregg, M. C. & Lien, R. C. 2005 Internal waves, solitary-like waves, and mixing on the Monterey Bay shelf. Cont. Shelf Res. 25 (12-13), 1499-1520.
    • (2005) Cont. Shelf Res. , vol.25 , Issue.12-13 , pp. 1499-1520
    • Carter, G.S.1    Gregg, M.C.2    Lien, R.C.3
  • 15
    • 0033911799 scopus 로고    scopus 로고
    • The anatomy of the mixing transition in homogeneous and stratified free shear layers
    • Caulfield, C. P. & Peltier, W. R. 2000 The anatomy of the mixing transition in homogeneous and stratified free shear layers. J. Fluid Mech. 413, 1-47.
    • (2000) J. Fluid Mech , vol.413 , pp. 1-47
    • Caulfield, C.P.1    Peltier, W.R.2
  • 16
    • 33745770220 scopus 로고    scopus 로고
    • Numerical investigation of solitary internal wave-induced global instability in shallow water benthic boundary layers
    • Diamessis, P. J. & Redekopp, L. G. 2006 Numerical investigation of solitary internal wave-induced global instability in shallow water benthic boundary layers. J. Phys. Oceanogr. 36, 784-812.
    • (2006) J. Phys. Oceanogr. , vol.36 , pp. 784-812
    • Diamessis, P.J.1    Redekopp, L.G.2
  • 17
    • 0034660352 scopus 로고    scopus 로고
    • Significant dissipation of tidal energy in the deep ocean inferred from satellite altimeter data
    • Egbert, G. D. & Ray, R. D. 2000 Significant dissipation of tidal energy in the deep ocean inferred from satellite altimeter data. Nat ure 405, 775-778.
    • (2000) Nature , vol.405 , pp. 775-778
    • Egbert, G.D.1    Ray, R.D.2
  • 18
    • 0002806822 scopus 로고
    • Application of integral theorems in deriving criteria of stability of laminar flow and for the baroclinic circular vortex
    • Fjortoft, R. 1950 Application of integral theorems in deriving criteria of stability of laminar flow and for the baroclinic circular vortex. Geofys. Publ. 17, 1-52.
    • (1950) Geofys. Publ. , vol.17 , pp. 1-52
    • Fjortoft, R.1
  • 19
    • 0345530058 scopus 로고    scopus 로고
    • The dynamics of breaking progressive interfacial waves
    • Fringer, O. B. & Street, R. L. 2003 The dynamics of breaking progressive interfacial waves. J. Fluid Mech. 494, 319-353.
    • (2003) J. Fluid Mech , vol.494 , pp. 319-353
    • Fringer, O.B.1    Street, R.L.2
  • 20
  • 21
    • 2442668785 scopus 로고    scopus 로고
    • Fully nonlinear solitary waves in a layered stratified fluid
    • Fructus, D. & Grue, J. 2004 Fully nonlinear solitary waves in a layered stratified fluid. J. Fluid Mech. 505, 323-347.
    • (2004) J. Fluid Mech , vol.505 , pp. 323-347
    • Fructus, D.1    Grue, J.2
  • 23
    • 0033912917 scopus 로고    scopus 로고
    • Breaking and broadening of internal solitary waves
    • American Meteorological Society
    • American Meteorological Society. Grue, J., Jensen, A., Rusas, P. O. & Sveen, J. K. 2000 Breaking and broadening of internal solitary waves. J. Fluid Mech. 413, 181-217.
    • (2000) J. Fluid Mech , vol.413 , pp. 181-217
    • Grue, J.1    Jensen, A.2    Rusas, P.O.3    Sveen, J.K.4
  • 24
    • 77952413188 scopus 로고
    • Non-symmetric Holmboe waves.
    • PhD thesis, University of British Columbia, Vancouver, BC, Canada. Hazel 1972 Numerical studies of the stability of inviscid stratified shear flows
    • Haigh, S. P. 1995 Non-symmetric Holmboe waves. PhD thesis, University of British Columbia, Vancouver, BC, Canada. Hazel 1972 Numerical studies of the stability of inviscid stratified shear flows. J. Fluid Mech. 51, 39-61.
    • (1995) J. Fluid Mech , vol.51 , pp. 39-61
    • Haigh, S.P.1
  • 25
    • 0022739609 scopus 로고
    • On long nonlinear internal waves over slope-shelf topography
    • Helfrich, K. R. & Melville, W. K. 1986 On long nonlinear internal waves over slope-shelf topography. J. Fluid Mech. 167, 285-308.
    • (1986) J. Fluid Mech , vol.167 , pp. 285-308
    • Helfrich, K.R.1    Melville, W.K.2
  • 27
    • 0037465218 scopus 로고    scopus 로고
    • The Kelvin-Helmholtz to Holmboe instability transition in stratified exchange flows
    • Hogg, A. M. & Ivey, G. N. 2003 The Kelvin-Helmholtz to Holmboe instability transition in stratified exchange flows. J. Fluid Mech. 477, 339-362.
    • (2003) J. Fluid Mech , vol.477 , pp. 339-362
    • Hogg, A.M.1    Ivey, G.N.2
  • 28
    • 3543143716 scopus 로고    scopus 로고
    • Solibore-induced sediment resuspension in the Faeroe-Shetland channel
    • Hosegood, P., Bonnin, J. & van Haren, H. 2004 Solibore-induced sediment resuspension in the Faeroe-Shetland channel. Geophys. Res. Lett. 31 (9), L09301.
    • (2004) Geophys. Res. Lett. , vol.31 , Issue.9
    • Hosegood, P.1    Bonnin, J.2    Van Haren, H.3
  • 29
    • 0000970069 scopus 로고
    • Note on a paper of John W
    • Howard, L. N. 1961 Note on a paper of John W. Miles. J. Fluid Mech. 10, 509-512.
    • (1961) Miles. J. Fluid Mech. , vol.10 , pp. 509-512
    • Howard, L.N.1
  • 30
    • 0024855806 scopus 로고
    • Vertical mixing due to the breaking of critical internal waves on sloping boundaries
    • Ivey, G. N. & Nokes, R. I. 1989 Vertical mixing due to the breaking of critical internal waves on sloping boundaries. J. Fluid Mech. 204, 479-500.
    • (1989) J. Fluid Mech , vol.204 , pp. 479-500
    • Ivey, G.N.1    Nokes, R.I.2
  • 31
    • 0033831404 scopus 로고    scopus 로고
    • Turbulent mixing in a sloping benthic boundary layer energized by internal waves
    • Ivey, G. N., Winters, K. B. & Silva, I. P. D. De 2000 Turbulent mixing in a sloping benthic boundary layer energized by internal waves. J. Fluid Mech. 418, 59-76.
    • (2000) J. Fluid Mech , vol.418 , pp. 59-76
    • Ivey, G.N.1    Winters, K.B.2    De, S.I.P.D.3
  • 32
    • 0001144662 scopus 로고    scopus 로고
    • Numerical study of internal wave reflection from sloping boundaries
    • Javam, A., Imberger, J. & Armfield, S. W. 1999 Numerical study of internal wave reflection from sloping boundaries. J. Fluid Mech. 396, 183-201.
    • (1999) J. Fluid Mech , vol.396 , pp. 183-201
    • Javam, A.1    Imberger, J.2    Armfield, S.W.3
  • 33
    • 1242322452 scopus 로고    scopus 로고
    • Internal solitary waves of elevation advancing on a shoaling shelf
    • Klymak, J. M. & Moum, J. N. 2003 Internal solitary waves of elevation advancing on a shoaling shelf. Geophys. Res. Lett. 30 (20), 2045.
    • (2003) Geophys. Res. Lett. , vol.30 , Issue.20 , pp. 2045
    • Klymak, J.M.1    Moum, J.N.2
  • 35
    • 0037168903 scopus 로고    scopus 로고
    • A numerical investigation of solitary internal waves with trapped cores formed via shoaling
    • Lamb, K. G. 2002 A numerical investigation of solitary internal waves with trapped cores formed via shoaling. J. Fluid Mech. 451, 109-144.
    • (2002) J. Fluid Mech , vol.451 , pp. 109-144
    • Lamb, K.G.1
  • 36
    • 0037430138 scopus 로고    scopus 로고
    • Shoaling solitary internal waves: On a criterion for the formation of waves with trapped cores
    • Lamb, K. G. 2003 Shoaling solitary internal waves: on a criterion for the formation of waves with trapped cores. J. Fluid Mech. 478, 81-100.
    • (2003) J. Fluid Mech , vol.478 , pp. 81-100
    • Lamb, K.G.1
  • 37
    • 0442328720 scopus 로고    scopus 로고
    • Internal wave breaking at concave and convex continental slopes
    • Legg, S. & Adcroft, A. 2003 Internal wave breaking at concave and convex continental slopes. J. Phys. Oceanogr. 33, 2224-2246.
    • (2003) J. Phys. Oceanogr. , vol.33 , pp. 2224-2246
    • Legg, S.1    Adcroft, A.2
  • 38
    • 0000835849 scopus 로고
    • Solitary waves in one-and two-fluid systems
    • Long, R. R. 1956 Solitary waves in one-and two-fluid systems. Tellus 8, 460-471.
    • (1956) Tellus , vol.8 , pp. 460-471
    • Long, R.R.1
  • 39
    • 0013621036 scopus 로고
    • 'Turbulent mixing' in a salt finger staircase
    • Marmorino, G. O. 1990 'Turbulent mixing' in a salt finger staircase. J. Geophys. Res. 95, 12983-12994.
    • (1990) J. Geophys. Res. , vol.95 , pp. 12983-12994
    • Marmorino, G.O.1
  • 40
    • 0019089432 scopus 로고
    • Long nonlinear waves in stratified shear flows
    • Maslowe, S. A. & Redekopp, L. G. 1980 Long nonlinear waves in stratified shear flows. J. Fluid Mech. 101, 321-348.
    • (1980) J. Fluid Mech , vol.101 , pp. 321-348
    • Maslowe, S.A.1    Redekopp, L.G.2
  • 41
    • 0032693552 scopus 로고    scopus 로고
    • Experiments on mixing due to internal solitary waves breaking on uniform slopes
    • Michallet, H. & Ivey, G. N. 1999 Experiments on mixing due to internal solitary waves breaking on uniform slopes. J. Geophys. Res. 104, 13467-13477.
    • (1999) J. Geophys. Res. , vol.104 , pp. 13467-13477
    • Michallet, H.1    Ivey, G.N.2
  • 42
    • 0006269547 scopus 로고
    • On the stability of heterogeneous shear flows. Part 2
    • Miles, J. W. 1963 On the stability of heterogeneous shear flows. Part 2. J. Fluid Mech. 16, 209-227.
    • (1963) J. Fluid Mech , vol.16 , pp. 209-227
    • Miles, J.W.1
  • 43
    • 0345448882 scopus 로고    scopus 로고
    • Structure and generation of turbulence at interfaces strained by internal solitary waves propagating shoreward over the continental shelf
    • Moum, J. N., Farmer, D. M., Smyth, W. D., Armi, L. & Vagle, S. 2003 Structure and generation of turbulence at interfaces strained by internal solitary waves propagating shoreward over the continental shelf. J. Phys. Oceanogr. 33, 2093-2112.
    • (2003) J. Phys. Oceanogr. , vol.33 , pp. 2093-2112
    • Moum, J.N.1    Farmer, D.M.2    Smyth, W.D.3    Armi, L.4    Vagle, S.5
  • 44
    • 0032420562 scopus 로고    scopus 로고
    • Abyssal recipes. Part II. Energetics of tidal and wind mixing
    • Munk, W. & Wunsch, C. 1998 Abyssal recipes. Part II. Energetics of tidal and wind mixing. Deep-Sea Res. 45, 1977-2010.
    • (1998) Deep-Sea Res , vol.45 , pp. 1977-2010
    • Munk, W.1    Wunsch, C.2
  • 45
    • 0039038611 scopus 로고
    • Radiation damping of long, finite amplitude internal waves
    • Pereira, N. R. & Redekopp, L. G. 1980 Radiation damping of long, finite amplitude internal waves. Phys. Fluids 23, 2182-2183.
    • (1980) Phys. Fluids , vol.23 , pp. 2182-2183
    • Pereira, N.R.1    Redekopp, L.G.2
  • 47
    • 84948434395 scopus 로고
    • On the stability or instability of certain fluid motions
    • Rayleigh, J. W. S. 1880 On the stability or instability of certain fluid motions. Proc. Lond. Math. Soc. 9, 57-70.
    • (1880) Proc. Lond. Math. Soc. , vol.9 , pp. 57-70
    • Rayleigh, J.W.S.1
  • 48
    • 14044255705 scopus 로고    scopus 로고
    • Observations of very large and steep internal waves of elevation near the Massachusetts coast
    • Scotti, A. & Pineda, J. 2004 Observations of very large and steep internal waves of elevation near the Massachusetts coast. Geophys. Res. Lett. 31, l22307.
    • (2004) Geophys. Res. Lett. , vol.31
    • Scotti, A.1    Pineda, J.2
  • 49
    • 0010580616 scopus 로고
    • Adaptive grid refinement for numerical weather prediction
    • Skamarock, W., Oliger, J. & Street, R. L. 1989 Adaptive grid refinement for numerical weather prediction. J. Comput. Phys. 80, 27-60.
    • (1989) J. Comput. Phys. , vol.80 , pp. 27-60
    • Skamarock, W.1    Oliger, J.2    Street, R.L.3
  • 50
    • 0027798396 scopus 로고
    • Adaptive grid refinement for two-dimensional and three-dimensional nonhydrostatic atmospheric flow
    • Skamarock, W. C. & Klemp, J. B. 1993 Adaptive grid refinement for two-dimensional and three-dimensional nonhydrostatic atmospheric flow. Month. Weath. Rev. 121, 788-804.
    • (1993) Month. Weath. Rev. , vol.121 , pp. 788-804
    • Skamarock, W.C.1    Klemp, J.B.2
  • 51
    • 0000271861 scopus 로고    scopus 로고
    • Turbulent dynamics of a critically reflecting internal gravity wave
    • Slinn, D. N. & Riley, J. J. 1998 Turbulent dynamics of a critically reflecting internal gravity wave. Theoret. Comput. Fluid Dyn. 11, 281-303.
    • (1998) Theoret. Comput. Fluid Dyn , vol.11 , pp. 281-303
    • Slinn, D.N.1    Riley, J.J.2
  • 52
    • 0034039398 scopus 로고    scopus 로고
    • Anisotropy of turbulence in stably stratified mixing layers
    • Smyth, W. D. & Moum, J. N. 2000 Anisotropy of turbulence in stably stratified mixing layers. Phys. Fluids 12, 1343-1362.
    • (2000) Phys. Fluids , vol.12 , pp. 1343-1362
    • Smyth, W.D.1    Moum, J.N.2
  • 53
    • 84963425831 scopus 로고
    • Three-dimensional primary instabilities of a stratified, dissipative, parallel flow
    • Smyth, W. D. & Peltier, W. R. 1990 Three-dimensional primary instabilities of a stratified, dissipative, parallel flow. Geophys. Astrophys. Fluid Dyn. 52, 249-261.
    • (1990) Geophys. Astrophys. Fluid Dyn , vol.52 , pp. 249-261
    • Smyth, W.D.1    Peltier, W.R.2
  • 54
    • 0000928050 scopus 로고
    • On the stability for three-dimensional disturbances of viscous fluid flow between parallel walls
    • Squire, H. B. 1933 On the stability for three-dimensional disturbances of viscous fluid flow between parallel walls. R. Soc. Lond. Proc. A 142, 621-628.
    • (1933) R. Soc. Lond. Proc. A , vol.142 , pp. 621-628
    • Squire, H.B.1
  • 55
    • 3042522844 scopus 로고    scopus 로고
    • Recent developments in the study of ocean turbulence
    • Thorpe, S. A. 2004 Recent developments in the study of ocean turbulence. Annu. Rev. Earth Planet. Sci. 32, 91-109.
    • (2004) Annu. Rev. Earth Planet. Sci. , vol.32 , pp. 91-109
    • Thorpe, S.A.1
  • 56
    • 28244474164 scopus 로고    scopus 로고
    • The instability and breaking of long internal waves
    • Troy, C. D. & Koseff, J. R. 2005 The instability and breaking of long internal waves. J. Fluid Mech. 543, 107-136.
    • (2005) J. Fluid Mech. , vol.543 , pp. 107-136
    • Troy, C.D.1    Koseff, J.R.2
  • 57
    • 34548051910 scopus 로고    scopus 로고
    • On the formation and propagation of nonlinear internal boluses across a shelf break
    • Venayagamoorthy, S. K. & Fringer, O. B. 2007 On the formation and propagation of nonlinear internal boluses across a shelf break. J. Fluid Mech. 577, 137-159.
    • (2007) J. Fluid Mech , vol.577 , pp. 137-159
    • Venayagamoorthy, S.K.1    Fringer, O.B.2
  • 58
    • 0036612567 scopus 로고    scopus 로고
    • Numerical experiments on the breaking of solitary internal waves over a slope-shelf topography
    • Vlasenko, V. & Hutter, K. 2002 Numerical experiments on the breaking of solitary internal waves over a slope-shelf topography. J. Phys. Oceanogr. 32, 1779-1793.
    • (2002) J. Phys. Oceanogr. , vol.32 , pp. 1779-1793
    • Vlasenko, V.1    Hutter, K.2
  • 59
    • 0033558152 scopus 로고    scopus 로고
    • Stratified shear turbulence: Evolution and statistics
    • Werne, J. & Fritts, D. C. 1999 Stratified shear turbulence: evolution and statistics. Geophys. Res. Lett. 26, 439-442.
    • (1999) Geophys. Res. Lett. , vol.26 , pp. 439-442
    • Werne, J.1    Fritts, D.C.2
  • 60
    • 0028669981 scopus 로고
    • Efficient simulation of single species and multispecies transport in groundwater with local adaptive grid refinement
    • Wolfsberg, A. V. & Freyberg, D. L. 1994 Efficient simulation of single species and multispecies transport in groundwater with local adaptive grid refinement. Water Resour. Res. 30, 2979-2992.
    • (1994) Water Resour. Res. , vol.30 , pp. 2979-2992
    • Wolfsberg, A.V.1    Freyberg, D.L.2
  • 61
    • 0001293368 scopus 로고
    • Wave-induced shear instability in the summer thermocline
    • Woods, J. D. 1968 Wave-induced shear instability in the summer thermocline. J. Fluid Mech. 32, 791-800.
    • (1968) J. Fluid Mech , vol.32 , pp. 791-800
    • Woods, J.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.