G. E. Swaters – Publications

 

Book

Swaters, G. E., Introduction to Hamiltonian fluid dynamics and stability theory. Chapman&Hall/CRC Monographs and Surveys in Pure & Applied Mathematics 102, 274 pp, 2000. ISBN 1-5848-8023-6.

 

Refereed Journal Articles (A pdf of the paper can be obtained by clicking the hyperlink attached to the  image)

1. Swaters, G. E., Ekman layer dissipation in an eastward-traveling modon. J. Phys. Oceanogr. 15, 1212-1216, 1985.

2. Swaters, G. E., Derivation and analysis of a McPhee-like damping term for inertially oscillating sea ice drift. J. Eng. Math.19, 251-259, 1985.

3. Swaters, G. E., & L. A. Mysak, Topographically induced baroclinic eddies near a coastline, with applications to the Northeast Pacific. J. Phys. Oceanogr. 15(11), 1470-1485, 1985.

4. Swaters, G. E., A nonlinear stability theorem for baroclinic quasigeostrophic flow. Phys. Fluids 29(1), 5-6, 1986.

5. Swaters, G. E., Barotropic modon propagation over slowly varying topography. Geophys. Astrophys. Fluid Dynamics 36, 85-113, 1986.

6. Swaters, G. E., Stability conditions and a priori estimates for equivalent-barotropic modons. Phys. Fluids 29 (5), 1419-1422, 1986.

7. Swaters, G. E., Critical-layer absorption of neutral ageostrophic vorticity wave perturbations of baroclinic jets. Geophys. Astrophys. Fluid Dynamics 43, 1-41, 1988.

8. Swaters, G. E., Resonant three-wave interactions in nonlinear hyperelastic fluid-filled tubes. J. Appl. Math. Physics (ZAMP) 39, 668-681, 1988.

9. Swaters, G. E., Viscous modulation of the Lamb dipole vortex. Phys. Fluids 31(10), 2745-2747, 1988.

10. Swaters, G. E., & R. P. Sawatzky, Viscoelastic modulation of solitary pressure pulses in nonlinear fluid-filled distensible tubes. Q. Jl. Mech. Appl. Math. 42, 213-237, 1989.

11. Swaters, G. E., A perturbation theory for the solitary drift-vortex solutions of the Hasegawa-Mima equation. J. Plasma Physics 41, 523-539, 1989.

12. Moodie, T. B., & G. E. Swaters, Nonlinear waves and shock calculations for hyperelastic fluid-filled tubes. Quart. Appl. Math. XLVII, 705-722, 1989.

13. Wilson, J. D., G. E. Swaters & F. Ustina, A perturbation analysis of turbulent flow through a porous barrier. Quart. J. Royal Meteorol. Soc. 116, 989-1004, 1990.

14. Swaters, G. E., & G. R. Flierl, Dynamics of ventilated coherent cold eddies on a sloping bottom. J. Fluid Mech. 223, 565-588, 1991.

15. Swaters, G. E., Dynamical characteristics of decaying Lamb couples. J. Appl. Math. Physics (ZAMP) 42, 109-121, 1991.

16. Wilson, J. D., & G. E. Swaters, The source area influencing a measurement in the planetary boundary layer: The footprint and the distribution of the time since surface contact. Boundary layer Meteorology 55, 25-46, 1991.

17. Swaters, G. E., On the baroclinic instability of cold-core coupled density fronts on a sloping continental shelf. J. Fluid Mech. 224, 361-382, 1991.

18. Cree, W. C., & G. E. Swaters, On the topographic dephasing and amplitude modulation of nonlinear Rossby wave interactions. Geophys. Astrophys. Fluid Dynamics 61, 75-99, 1991.

19. Wilson, J. D., T. K. Flesch & G. E. Swaters, Dispersion in sheared Gaussian homogeneous turbulence. Boundary layer Meteorology 62, 281-290, 1993.

20. Swaters, G. E., Nonlinear stability of intermediate baroclinic flow on a sloping bottom. Proc. R. Soc. Lond. A 442, 249-272, 1993.

21. Swaters, G. E., On the baroclinic dynamics, Hamiltonian formulation and general stability characteristics of density-driven currents and fronts over a sloping continental shelf.  Phil. Trans. R. Soc. Lond. A 345, 295-325, 1993.

22. Ropchan, C. B., & G. E. Swaters, The role of negative energy waves in linear and nonlinear shear flow instability in hyperelastic fluid-filled tubes. Q. Jl. Mech. Appl. Math. 46, 657-681, 1993.

23. Swaters, G. E., On stationary equivalent-modons in an eastward flow. Phys. Fluids 6, 118-123, 1994.

24. Ek, N. R., & G. E. Swaters, Geostrophic scatter diagrams and the application of quasi-geostrophic free mode theory to a Northeast Pacific blocking episode. J. Atmos. Sci. 51(4), 563-581, 1994.

25. Primeau, F. W., & G. E. Swaters, The effect of along-shore topographic variation and bottom friction on shelf wave interactions. J. Phys. Oceanogr. 24(5), 1021-1039, 1994.

26. Swaters, G. E., On stationary baroclinic planetary dipole-vortices in a continuously stratified fluid of finite depth. J. Appl. Math. Physics (ZAMP) 45, 638-657, 1994.

27. Swaters, G. E., A Hamiltonian structure for hyperelastic fluid-filled tubes. Can. Appl. Math. Quart. 2(4), 551-584, 1994.

28. Karsten, R. H., G. E. Swaters & R. E. Thomson, Stability characteristics of deep water replacement in the Strait of Georgia. J. Phys. Oceanogr. 25(10), 2391-2403, 1995.

29. Yonemitsu, N., G. E. Swaters, N. Rajarantnam & G. A. Lawrence, Shear instabilities in arrested salt-wedge flows. Dyn. Atmos. Oceans 24(B), 173-182, 1996.

30. Karsten, R. H., & G. E. Swaters, Nonlinear stability of baroclinic fronts in a channel with variable topography. Stud. Appl. Math. 96, 183-199, 1996.

31. D'Alessio, S. J. D., T. B. Moodie, J. P. Pascal & G. E. Swaters, Gravity currents produced by a sudden release of a fixed volume of heavy fluid. Stud. Appl. Math. 96, 359-385, 1996.

32. Karsten, R. H. & G. E. Swaters, A note on the stability theory of buoyancy-driven ocean currents over a sloping bottom. J. Appl. Math. Physics (ZAMP) 47, 28-38, 1996.

33. Mooney, C. J., & G. E. Swaters, Finite amplitude baroclinic instability of a mesoscale gravity current in a channel. Geophys. Astrophys. Fluid Dynamics 82, 173-205, 1996.

34. D'Alessio, S. J. D., T. B. Moodie, J. P. Pascal & G. E. Swaters, Intrusive gravity currents. Stud. Appl. Math. 98, 19-46, 1997.

35. Timko, P., & G. E. Swaters, On the dissipation of internal solitons in coastal seas. Geophys. Astrophys. Fluid Dynamics 85, 163-194, 1997.

36. Slomp, C. G., & G. E. Swaters, Finite-amplitude waves and modulational instability of a stable geostrophic front. Geophys. Astrophys. Fluid Dynamics 86, 149-172, 1997.

37. Moodie, T. B., J. P. Pascal & G. E. Swaters, Sediment transport and deposition from a two-layer model of gravity currents on a sloping bottom. Stud. Appl. Math. 100, 215-244, 1998.

38. Swaters, G. E., Numerical simulations of the baroclinic dynamics of density-driven coupled fronts and eddies on a sloping bottom. J. Geophys. Res. 103, 2945-2961, 1998.

39. Swaters, G. E., Dynamics of radiating cold domes on a sloping bottom. J. Fluid Mech. 364, 221-251, 1998.

40. Poulin, F. J., & G. E. Swaters, Sub-inertial dynamics of density-driven flows in a continuously stratified fluid on a sloping bottom. I. Model derivation and stability characteristics. Proc. R. Soc. Lond. A 445, 2281-2304, 1999.

41. Poulin, F. J., & G. E. Swaters, Sub-inertial dynamics of density-driven flows in a continuously stratified fluid on a sloping bottom. II. Isolated eddies and radiating cold domes. Proc. R. Soc. Lond. A 445, 2305-2329, 1999.

42. Poulin, F. J., & G. E. Swaters, Sub-inertial dynamics of density-driven flows in a continuously stratified fluid on a sloping bottom. Part 3. Nonlinear stability theory. Can. Appl. Math. Quart. 7 (1), 49-69, 1999.

43. Reszka, M. K., & G. E. Swaters, Eddy formation and interaction in a baroclinic frontal geostrophic model. J. Phys. Oceanogr. 29, 3025-3042, 1999.

44. Swaters, G. E., On the evolution of near-singular modes of the Bickley jet. Phys. Fluids 11(9), 2546-2555, 1999.

45. Karsten, R. H., & G. E. Swaters, A unified asymptotic derivation of two-layer, frontal geostrophic models including planetary sphericity and bottom topography. Phys. Fluids 11(9), 2583-2597, 1999.

46. Reszka, M. K., & G. E. Swaters, Numerical investigation of baroclinic instability in the Gaspé current using a frontal geostrophic model. J. Geophys. Res. 104, 25,685-25,696, 1999.

47. Choboter, P. F., & G. E. Swaters, On the baroclinic instability of axisymmetric rotating gravity currents with bottom slope. J. Fluid Mech. 408, 149-177, 2000.

48. Karsten, R. H., & G. E. Swaters, Nonlinear effects in two-layer, large-amplitude, geostrophic dynamics. Part 1. The strong beta case. J. Fluid Mech. 412, 125-160, 2000.

49. Karsten, R. H., & G. E. Swaters, Nonlinear effects in two-layer, large-amplitude, geostrophic dynamics. Part 2. The weak beta case. J. Fluid Mech. 412, 161-196, 2000.

50. Swaters, G. E., On the finite-amplitude development of near-singular modes of the Bickley jet. Can. Appl. Math. Quart. 8, 387-413, 2000.

51. Choboter, P. F., & G. E. Swaters, Modelling equator-crossing currents on the ocean bottom. Can. Appl. Math. Quart. 8, 367-385, 2000.

52. Swaters, G. E., On the collision between deep anticyclones and seamounts. Eur. J. Mech., B/Fluids 20, 471-488, 2001.

53. Reszka, M. K., & G. E. Swaters, Dynamics of bottom-trapped currents with application to the Strait of Georgia. Can. Appl. Math. Quart. 9, 127-157, 2001.

54. Reszka, M. K, G. E. Swaters & B. R. Sutherland, Instability of abyssal currents in a continuously stratified ocean with bottom topography. J. Phys. Oceanogr. 32, 3528-3550, 2002.

55. Choboter, P. F., & G. E. Swaters, Two-layer models of abyssal Equator-crossing flow. J. Phys. Oceanogr. 33, 1401-1415, 2003.

56. Swaters, G. E., Baroclinic characteristics of frictionally destabilized abyssal overflows. J. Fluid Mech. 489, 349-379, 2003.

57. Swaters, G. E., Spectral properties in modon stability theory. Stud. Appl. Math. 112, 235-258, 2004.

58. Reszka, M. K., & G. E. Swaters, Evolution of initially-axisymmetric buoyancy jets: a numerical study. J. Fluid Mech. 501, 355-377, 2004.

59. Choboter, P. F., & G. E. Swaters, Shallow-water modelling of Antarctic Bottom Water crossing the Equator. J. Geophys. Res. 109, C03038, doi: 10.1029/2003JC002048, 2004.

60. Sutherland, B. R., J. Nault, K. Yewchuk & G. E. Swaters, Rotating dense currents on slopes. Part I: Stability. J. Fluid Mech. 508, 241-264, 2004.

61. Pavec, M., X. Carton & G. E. Swaters, Baroclinic instability of geostrophic currents over a slope. J. Phys. Oceanogr., 35, 911-918, 2005.

62. Ha, Seung-Ji, & G. E. Swaters, Finite-amplitude baroclinic instability of time-varying abyssal currents. J. Phys. Oceanogr. 36, 122-139, 2006.

63. Swaters, G. E., The meridional flow of source-driven abyssal currents in a stratified basin with topography. Part I. Model development and dynamical properties. J. Phys. Oceanogr. 36, 335-355, 2006.

64. Swaters, G. E., The meridional flow of source-driven abyssal currents in a stratified basin with topography. Part II. Numerical simulation.  J. Phys. Oceanogr. 36, 356-375, 2006.

65. Swaters, G. E., On the frictional destabilization of abyssal overflows dynamically coupled to internal gravity waves.  Geophys. Astrophys. Fluid Dynamics 100, 1-24, 2006.

66. Swaters, G. E., Perturbations of soliton solutions to the unstable nonlinear Schrödinger and sine-Gordon equations.   Stud. Appl. Math. 118, 99-116, 2007.  

67. Turnbull, M. R., & G. E. Swaters, Evolution of solitary marginal disturbances in baroclinic frontal geostrophic dynamics with dissipation and time-varying background flow. Proc. R. Soc. A 463, 1749-1769, 2007.

68. Swaters, G. E., Mixed bottom-friction-Kelvin-Helmholtz destabilization of source-driven abyssal overflows in the ocean. J. Fluid Mech. 626, 33-67, 2009.

69. Wilson, J. D., W. J. Massman & G. E. Swaters, Dynamic Response of the thermometric net radiometer. Agric. Forest Meteorol. 149, 1358-1364, 2009.

70. Swaters, G. E., Ekman destabilization of inertially-stable baroclinic abyssal flow on a sloping bottom. Phys. Fluids 21, 086601(1-10), 2009.

71. Swaters, G. E., Modal interpretation for the Ekman destabilization of inviscidly-stable baroclinic flow in the Phillips model. J. Phys. Oceanogr. 40, 830-839, 2010.

72. Swaters, G. E., H. V. Dosser & B. R. Sutherland, Conservation laws, Hamiltonian structure, modulational instability properties and solitary wave solutions for a higher-order model describing nonlinear internal waves. Stud. Appl. Math. 128, 159-182, 2011.  

73. Swaters, G. E., Perturbation theory for the solitary wave solutions to a Sasa-Satsuma model describing nonlinear internal waves in a continuously stratified fluid. Stud. Appl. Math. 178, 420-432, 2012.

74. Swaters, G. E., Flow of grounded abyssal ocean currents along zonally-varying topography on a rotating sphere. Geophys. Astrophys. Fluid Dynamics 107, 564-586, 2013.  

75. Somayaji, C.  R., & G. E Swaters, Kelvin-Helmholtz instability of a bottom-intensified jet in a stratified fluid. Can. Appl. Math. Quart. 21, 355-377, 2013.

76. Kim, A., G. E Swaters & B. R. Sutherland, Cross-equatorial flow of grounded abyssal ocean currents. Geophys. Astrophys. Fluid Dynamics 108, 363-386, 2014.  

77. Swaters, G. E., Midlatitude-equatorial dynamics of a grounded deep western boundary current. Part I. Midlatitude flow and the transition to the equatorial region. J. Phys. Oceanogr. 45, 2457-2469, 2015.  

78. Swaters, G. E., Midlatitude-equatorial dynamics of a grounded deep western boundary current. Part II. Cross-equatorial dynamics. J. Phys. Oceanogr. 45, 2470-2483, 2015.

79. Swaters, G. E., Internal dissipative boundary layers in the cross-equatorial flow of a grounded deep western boundary current. Geophys. Astrophys. Fluid Dynamics 111, 91-114, 2017.

80. Swaters, G. E., Meridional dynamics of grounded abyssal water masses on a sloping bottom in a mid-latitude beta-plane. J. Fluid Mech. 841, 674-701, 2018.

81. Swaters, G. E., Hamiltonian structure and a variational principle for grounded abyssal flow on a sloping bottom in a mid-latitude beta-plane. Stud. Appl. Math. 141, 247-263, 2018.  

82. Gervais, A. D., G. E. Swaters, T. S. van den Bremer & B. R. Sutherland, Evolution and stability of two-dimensional  anelastic internal gravity wavepackets. J. Atmos. Sci. 75, 3703-3724, 2018.

83. Deepwell, D., R. Sapede, L. Buchart, G. E. Swaters & B. R. Sutherland, Particle transport and resuspension by shoaling internal solitary waves. Phys. Rev. Fluids 5, 054303 (1-21), 2020.  

84. Gervais, A. D., Q. Ede, G. E. Swaters, T. S. van den Bremer & B. R. Sutherland, Propagation and breaking of three-dimensional Boussinesq wavepackets with rotation. Phys. Rev. Fluids 6 044801 (1-20), 2021.

85. Gervais, A. D., G. E. Swaters & B. R. Sutherland, Transmission and reflection of three-dimensional Boussinesq internal gravity wave packets in nonuniform retrograde shear flow. Phys. Rev. Fluids 7 114802 (1-24), 2022.

 

                                 

Refereed Book Chapters, Conference Proceedings and Technical Report

   

86. Gaskill, H., R. Lopez & G. E. Swaters, Free drift of sea ice: a comparison of models. Centre for Cold Oceans Resources Engineering, 1980, 132 pp.

87. Swaters, G. E., & G. R. Flierl, Ekman dissipation of a barotropic modon. In Mesoscale/Synoptic coherent structures in geophysical turbulence, 149-165, edited by J. C. J. Nihoul & B. M. Jamart, Elsevier Press, 1989.

88. Swaters, G. E., Propagation of two-dimensional solitary drift vortices in a viscous rotating fluid or plasma. In Continuum mechanics and its applications, 779-796, edited by C. Graham & S. Malik, Hemisphere Publishers, 1989.

89. Swaters, G. E., Morphology of vorticity-stream function scatter diagrams and the emergence of coherent vortices during the destabilization of a two dimensional jet. In Ocean waves mechanics, Computational fluid dynamics and Mathematical modelling, 117-128, edited by M. Rahman, Computational Mechanics Publications, 1990.

90. Ropchan, C., & G. E. Swaters, Shear-flow instability and explosive three-wave interactions in hyperelastic fluid-filled tubes. In Ocean waves mechanics, Computational fluid dynamics and Mathematical modelling, 129-138, edited by M. Rhaman, Computational Mechanics Publications, 1990.

91. Swaters, G. E., A survey of the mathematical theory of modons. In Nonlinear dispersive wave systems, 461-479, edited by L. Debnath, World Scientific Publishing Company, 1992.

92. Swaters, G. E., The February 1989 Pacific block as a coherent structure. In Modelling of oceanic vortices, 207-215, edited by G. J. F. van Heijst, Verhandeligen Koninklijke Academie voor Wetenschappen (KNAW), North Holland, Elsevier, 1994.

93. Swaters, G. E., Mathematical modelling of solitary oceanographic vortices. In Fluid Vortices, 575-616, edited by S. I. Green, Kluwer Academic Publishing, 1995.

94. Mooney, C. J., & G. E. Swaters, On the finite amplitude instability of gravity currents on a sloping bottom. In 10th Conference on Atmospheric and Oceanic Waves and Stability, 23-24, American Meteorological Society, 1995.

95. Karsten, R. H., & G. E. Swaters, On the stability of two layer geostrophic fronts on a beta plane. In 10th Conference on Atmospheric and Oceanic Waves and Stability, 49-50, American Meteorological Society, 1995.

96. Swaters, G. E., Numerical simulations of the low-frequency dynamics for gravity currents, cold pools and coherent density-driven eddies on a sloping bottom in a channel. In 10th Conference on Atmospheric and Oceanic Waves and Stability, 123-125, American Meteorological Society, 1995.

97. Slomp, C. G., & G. E. Swaters, On the finite-amplitude stability of geostrophic fronts. In 10th Conference on Atmospheric and Oceanic Waves and Stability, 210-211, American Meteorological Society, 1995.

98. Reszka, M. K., & G. E. Swaters, Some analytical and numerical results for buoyancy-driven fronts over a sloping bottom. In 11th Conference on Atmospheric and Oceanic Fluid Dynamics, 135-139, American Meteorological Society, 1997.

99. Karsten, R. H., & G. E. Swaters, Nonlinear destabilization of large-scale oceanic fronts. In 11th Conference on Atmospheric and Oceanic Fluid Dynamics, 147-151, American Meteorological Society, 1997.

100. Poulin, F. J., & G. E. Swaters, Mesoscale cold-pools within a continuously stratified fluid overlying a sloping continental shelf. In 11th Conference on Atmospheric and Oceanic Fluid Dynamics, 157-161, American Meteorological Society, 1997.

101. Choboter, P. F., & G. E. Swaters, Modelling the dynamics of abyssal equator-crossing currents. In Advances in Mathematical Modelling of Atmosphere and Ocean Dynamics, 125-130, edited by P. F. Hodnett, Kluwer Academic Publishing, 2001.

102. Reszka, M. K., & G. E. Swaters, Baroclinic instability of bottom-dwelling currents. In Advances in Mathematical Modelling of Atmosphere and Ocean Dynamics, 209-214, edited by P. F. Hodnett, Kluwer Academic Publishing, 2001.

103. Swaters, G. E., Evolution of near-singular jet modes. In Advances in Mathematical Modelling of Atmosphere and Ocean Dynamics, 251-258, edited by P. F. Hodnett, Kluwer Academic Publishing, 2001.

104. Swaters, G. E., Generation of internal gravity waves by unstable overflows, 91-102, In Nonlinear Processes in Geophysical Fluid Dynamics, edited by O. U. Velasco Fuentes, J. Sheinbaum & J. Ochoa, Kluwer Academic Publishing, 2003.

105. Reszka, M. K., & G. E. Swaters, Simple frontal models of baroclinic instability. In 14th Conference on Atmospheric and Oceanic Fluid Dynamics, 83-88, American Meteorological Society, 2003.

106. Sutherland, B. R., J. Nault, K. Yewchuk & G. E. Swaters, Stability and evolution of dense currents on sloping topography. In 14th Conference on Atmospheric and Oceanic Fluid Dynamics, 71-74, American Meteorological Society, 2003.

107. Swaters, G. E., On the meridional flow of source driven abyssal currents on a continental slope, In Advances in Fluid Mechanics V, 119-128, edited by C. A. Brebbia, A. C. Mendes & M. Rahman, WIT Press, 2004.

108. Swaters, G. E., Finite amplitude evolution of frictionally destabilized abyssal overflows in a stratified ocean. In Advances in Fluid Mechanics VI, 185-191, edited by M. Rahman & C. A. Brebbia, WIT Press, 2006.

109. Swaters, G. E., Stability of meridionally-flowing grounded abyssal currents in the ocean. In Advances in Fluid Mechanics VII, 93-100, edited by M. Rahman & C. A. Brebbia, WIT Press, 2008.

110. Swaters, G. E., Meridional flow of grounded abyssal currents on a sloping bottom in spherical geometry. Advances in Fluid Mechanics IX, 313-320, edited by M. Rahman & C. A. Brebbia, WIT Press, 2012.

111. Swaters, G. E., The equatorial meandering of abyssal ocean currents. Advances in Fluid Mechanics X, 339-347, edited by C. A. Brebbia, S. Hernandez & M. Rahman, WIT Press, 2014.

 

Submitted Manuscripts

       

Manuscripts in Preparation

     

Swaters, G. E., Meridional dynamics of barotropic geostrophic flow over a sloping bottom in a mid-latitude beta-plane.