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Original Articles

Linear and weakly nonlinear internal wave theories applied to “morning glory” waves

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Pages 123-143 | Received 17 Oct 1984, Accepted 03 Apr 1985, Published online: 01 Dec 2006

References

  • Benjamin , T. B. 1966 . Internal waves of finite amplitude and permanent form . J. Fluid Mech. , 25 : 241 – 270 .
  • Benjamin , T. B. 1967 . Internal waves of permanent form in fluids of great depth . J. Fluid Mech. , 29 : 559 – 592 .
  • Byatt-Smith , J. G. B. 1971a . The effect of laminar viscosity on the solution of the undular bore . J. Fluid Mech. , 48 : 33 – 40 .
  • Byatt-Smith , J. G. B. 1971b . Effects of empirical dissipation terms in the solution of the undular bore . Q. Appl. Math. , 28 : 499 – 515 .
  • Christie , D. R. and Muirhead , K. J. 1983a . Solitary waves: A hazard to aircraft operating at low altitudes . Aust, Meteorol. Mag. , 31 : 97 – 109 .
  • Christie , D. R. and Muirhead , K. J. 1983b . Solitary waves: A low-level wind shear hazard to aviation . Int. J. Aviation Safety , 1 : 169 – 190 .
  • Christie , D. R. , Muirhead , K. J. and Hales , A. L. 1979 . Intrusive density flows in the lower toposphere: A source of atmospheric solitons . J. Geophys. Res. , 84 : 4959 – 4970 .
  • Clarke , R. H. 1983a . Fair weather nocturnal inland wind surges and atmospheric bores: Part I nocturnal wind surges . Aust. Meteorol. Mag. , 31 : 133 – 145 .
  • Clarke , R. H. 1983b . Fair weather nocturnal inland wind surges and atmospheric bores: Part II internal atmospheric bores in northern Australia . Aust. Meteorol. Mag. , 31 : 147 – 160 .
  • Clarke , R. H. 1984 . Colliding seabreezes and atmospheric bores: Two-dimensional numerical studies . Aust. Meteorol. Mag. , 32 : 207 – 226 .
  • Clarke , R. H. , Smith , R. K. and Reid , D. G. 1981 . The morning glory of the Gulf of Carpentaria: An atmospheric undular bore . Man. Weather Rev. , 109 : 1726 – 1750 .
  • Davis , R. E. and Acrivos , A. 1967 . Solitary internal waves in deep water . J. Fluid. Mech. , 29 : 593 – 607 .
  • Drake , V. A. 1985 . Solitary wave disturbances of the nocturnal boundary layer revealed by radar observations of migrating insects . Bound. Layer Meteor. , 31 : 269 – 286 .
  • Egger , J. 1983 . “ The morning glory: A nonlinear wave phenomenon ” . In Mesoscale Meteorology Theories, Observations and Models , Edited by: Lilly , D. K. and Gal-Chen , T. Dordrecht : Reidal .
  • Egger , J. 1984 . On the theory of the morning glory . Beitr. Phys. Atmos. , 57 : 123 – 134 .
  • Gardner , C. S. , Greene , J. M. , Kruskal , M. D. and Miura , R. M. 1974 . Korteweg-de Vries equation and generalizations. VI. Methods of exact solutions . Commun. Pure and Appl. Math. , 30 : 97 – 133 .
  • Grimshaw , R. 1981 . A second-order theory for solitary waves in deep fluids . Phys. Fluids , 24 : 1611 – 1618 .
  • Haase , S. P. and Smith , R. K. 1984 . Morning glory wave clouds in Oklahoma: A case study . Man. Weather Rev. , 112 : 2078 – 2089 .
  • Hurdis , D. A. and Pao , H.-P. 1975 . Experimental observation of internal solitary waves in a stratified fluid . Phys. Fluids , 18 : 385 – 386 .
  • Johnson , R. S. 1972 . Shallow water waves on a viscous fluid—the undular bore . Phys. Fluids , 15 : 1693 – 1699 .
  • Kao , T. W. and Pao , H.-P. 1979 . Wake collapse in the thermocline and internal solitary waves . J. Fluid Mech. , 97 : 115 – 127 .
  • Kodoma , Y. , Ablowitz , M. J. and Satsuma , J. 1982 . Direct and scattering problems of the nonlinear intermediate long wave equation . J. Math. Phys. , 23 : 564 – 576 .
  • Koop , C. G. and Butler , G. 1981 . An investigation of internal solitary waves in a two fluid system . J. Fluid Mech. , 112 : 225 – 251 .
  • Kubota , T. , Ko , D. R. S. and Dobbs , L. D. 1978 . Weakly-nonlinear, long internal gravity waves in stratified fluids of finite depth . J. Hydronaut. , 12 : 157 – 165 .
  • Lighthill , M. J. 1978 . Waves in Fluids , Cambridge University Press .
  • Maxworthy , T. 1980 . On the formation of nonlinear internal waves from the gravitational collapse of mixed regions in two and three dimensions . J. Fluid Mech. , 96 : 47 – 64 .
  • Ono , H. 1975 . Algebraic solitary waves in stratified fluids . J. Phys. Soc. Jpn. , 39 : 1082 – 1091 .
  • Scorer , R. S. 1949 . Theory of waves in the lee of mountains . Q. J. R. Meteorol. Soc. , 75 : 41 – 56 .
  • Segur , H. 1973 . The Korteweg-de Vries equation and water waves. Solutions of the equation Part 1 . J. Fluid Mech. , 59 : 721 – 736 .
  • Smith , R. K. , Crook , N. and Roff , G. 1982 . The morning glory: An extraordinary atmospheric undular bore . Q. J. R. Meteorol. Soc. , 108 : 937 – 956 .
  • Smith , R. K. and Morton , B. R. 1984 . An observational study of northeasterly “morning glory” wind surges . Aust. Meteorol. Mag. , 32 : 155 – 175 .
  • Smith , R. K. , Coughlan , M. J. and Evans , J. L. 1985 . Southerly nocturnal wind surges and bores in northeastern Australia . Submitted for publication
  • Tung , K. , Chan , T. F. and Kubota , T. 1982 . Large amplitude internal waves of permanent form . Stud. Appl. Math. , 66 : 1 – 44 .
  • Vliegenhardt , A. C. 1971 . On finite difference methods for the Korteweg-de Vries equation . J. Engng. Math. J. , 5 : 137 – 155 .

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