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Books on the topic 'Equatorial waves'

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Author: Grafiati

Published: 6 September 2023

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1

Blumenthal, Martin Benno. Interpretation of equatorial current meter data as internal waves. Woods Hole, Mass: Woods Hole Oceanographic Institution [1987], 1987.

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2

Tsing-Chang, Chen, and United States. National Aeronautics and Space Administration., eds. Equatorial waves simulated by the NCAR community climate model: Technical report. Ames, Iowa: Atmospheric Sciences Program, Dept. of Earth Sciences, Iowa State University, 1988.

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3

R, Coley William, and United States. National Aeronautics and Space Administration., eds. Investigation of the role of gravity waves in the generation of equatorial bubbles. [Washington, D.C.]: National Aeronautics and Space Administration, 1995.

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4

Alexander, M. J. A model study of zonal forcing in the equatorial stratosphere by convectively induced gravity waves. [Boston]: American Meteorological Society, 1997.

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5

Sitler, Todd William. An observational study of long waves in the equatorial Pacific Ocean during the 1991-1993 El Niño. Monterey, Calif: Naval Postgraduate School, 1994.

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6

International Conference on Infrared and Millimeter Waves (31th 2006 Shanghai, China). IRMMW-THz 2006: Conference digest of the 2006 joint 31st International Conference on Infrared and Millimeter Waves and 14th International Conference on Terahertz Electronics : Sept. 18-22, 2006, Hotel Equatorial Shanghai, Shanghai, China. Edited by Shen S. C and International Conference on Terahertz Electronics (14th : 2006 : Shanghai, China). New York City, NY: IEEE, 2006.

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7

International Conference on Infrared and Millimeter Waves (31th 2006 Shanghai, China). IRMMW-THz 2006: Conference digest of the 2006 joint 31st International Conference on Infrared and Millimeter Waves and 14th International Conference on Terahertz Electronics : Sept. 18-22, 2006, Hotel Equatorial Shanghai, Shanghai, China. Edited by Shen S. C and International Conference on Terahertz Electronics (14th : 2006 : Shanghai, China). New York City, NY: IEEE, 2006.

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8

Brady, Esther C. Observations of wave-mean flow interaction in the Pacific Equatorial Undercurrent. Woods Hole, Mass: Woods Hole Oceanographic Institution, 1990.

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9

Brady, Esther C. Observations of wave-mean flow interaction in the Pacific Equatorial Undercurrent. Woods Hole, Mass: Woods Hole Oceanographic Institution, 1990.

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10

Boyd, John P. Dynamics of the Equatorial Ocean. Springer, 2018.

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11

Boyd, John P. Dynamics of the Equatorial Ocean. Springer, 2017.

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12

Zeitlin, Vladimir. Wave Motions in Rotating Shallow Water with Boundaries, Topography, at the Equator, and in Laboratory. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198804338.003.0004.

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The chapter illustrates the influence of lateral boundaries, bottom topography, outcroppings, equatorial tangent plane approximation, and cylindrical channel geometry in laboratory experiments on the wave spectrum, and characteristics of waves in rotating shallow-water model. It is shown that all these effects lead to appearance of wave-guide modes, localised in one spatial direction, and freely propagating in another one. These modes are coastal and equatorial Kelvin waves, topographic and equatorial Rossby waves, shelf and edge waves, equatorial Yanai and inertia–gravity waves, and frontal waves. Their dispersion and polarisation relations are established, and their properties explained. Mountain (lee) waves are also treated.

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13

Zeitlin, Vladimir. Getting Rid of Fast Waves: Slow Dynamics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198804338.003.0005.

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After analysis of general properties of horizontal motion in primitive equations and introduction of principal parameters, the key notion of geostrophic equilibrium is introduced. Quasi-geostrophic reductions of one- and two-layer rotating shallow-water models are obtained by a direct filtering of fast inertia–gravity waves through a choice of the time scale of motions of interest, and by asymptotic expansions in Rossby number. Properties of quasi-geostrophic models are established. It is shown that in the beta-plane approximations the models describe Rossby waves. The first idea of the classical baroclinic instability is given, and its relation to Rossby waves is explained. Modifications of quasi-geostrophic dynamics in the presence of coastal, topographic, and equatorial wave-guides are analysed. Emission of mountain Rossby waves by a flow over topography is demonstrated. The phenomena of Kelvin wave breaking, and of soliton formation by long equatorial and topographic Rossby waves due to nonlinear effects are explained.

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14

Sun, Chaojiao. Dynamic instability of stratified shear flow in the upper equatorial Pacific. 1997.

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15

Gravity wave seeding of equatorial plasma bubbles. [Washington, DC: National Aeronautics and Space Administration, 1997.

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16

Zeitlin, Vladimir. Wave Turbulence. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198804338.003.0013.

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Main notions and ideas of wave (weak) turbulence theory are explained with the help of Hamiltonian approach to wave dynamics, and are applied to waves in RSW model. Derivation of kinetic equations under random-phase approximation is explained. Short inertia–gravity waves on the f plane, short equatorial inertia–gravity waves, and Rossby waves on the beta plane are then considered along these lines. In all of these cases, approximate solutions of kinetic equation, annihilating the collision integral, can be obtained by scaling arguments, giving power-law energy spectra. The predictions of turbulence of inertia–gravity waves on the f plane are compared with numerical simulations initialised by ensembles of random waves. Energy spectra much steeper than theoretical are observed. Finite-size effects, which prevent energy transfer from large to short scales, provide a plausible explanation. Long waves thus evolve towards breaking and shock formation, yet the number of shocks is insufficient to produce shock turbulence.

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17

Zeitlin, Vladimir. Geostrophic Adjustment and Wave–Vortex (Non)Interaction. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198804338.003.0008.

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The fundamental process of geostrophic adjustment is treated by the method of multi-scale asymptotic expansions in Rossby number and fast-time averaging (which is explained), first in the barotropic one-layer case, and then in the baroclinic two-layer case. Together with the standard quasi-geostrophic regime of parameters, the frontal (or semi-) geostrophic regime is considered. Dynamical separation of slow and fast motions is demonstrated in both regimes. The former obey quasi-geostrophic or frontal-geostrophic equations, thus providing formal justification of the heuristic derivation of Chapter 5. Fast motions are inertia-gravity waves in quasi-geostrophic case, and inertial oscillations in the frontal-geostrophic case. Geostrophic adjustment is also considered in the presence of coastal, topographic, and equatorial wave-guides, and, again, separation of fast and slow motions is demonstrated, the latter now including long Kelvin waves in the first case, long topographic waves in the second case, and long Kelvin and Rossby waves in the third case.

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18

Zeitlin, Vladimir. Rotating Shallow-Water Models as Quasilinear Hyperbolic Systems, and Related Numerical Methods. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198804338.003.0007.

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The chapter contains the mathematical background necessary to understand the properties of RSW models and numerical methods for their simulations. Mathematics of RSW model is presented by using their one-dimensional reductions, which are necessarily’one-and-a-half’ dimensional, due to rotation and include velocity in the second direction. Basic notions of quasi-linear hyperbolic systems are recalled. The notions of weak solutions, wave breaking, and shock formation are introduced and explained on the example of simple-wave equation. Lagrangian description of RSW is used to demonstrate that rotation does not prevent wave-breaking. Hydraulic theory and Rankine–Hugoniot jump conditions are formulated for RSW models. In the two-layer case it is shown that the system loses hyperbolicity in the presence of shear instability. Ideas of construction of well-balanced (i.e. maintaining equilibria) shock-resolving finite-volume numerical methods are explained and these methods are briefly presented, with illustrations on nonlinear evolution of equatorial waves.

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