Analysis of coupled oceanographic and acoustic soliton simulations in the Yellow Sea: a search for soliton-induced resonances

Chin‐Bing, Stanley A.; Warn-Varnas, A.; King, David B.; Lamb, Kevin G.; Teixeira, M.; Hawkins, James A.

doi:10.1016/s0378-4754(02)00192-1

Cited by 12 publications

(10 citation statements)

References 10 publications

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“…in accordance with those used in [6,25]. These values result in a nonlinearity-to-dispersion ratio λ = −0.00014244, showing that dispersive effects are significant, as required for the validity of the KdV-based model.…”

Section: Resultssupporting

confidence: 65%

Internal solitary waves in the ocean: Analysis using the periodic, inverse scattering transform

Christov

2009

Mathematics and Computers in Simulation

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The periodic, inverse scattering transform (PIST) is a powerful analytical tool in the theory of integrable, nonlinear evolution equations. Osborne pioneered the use of the PIST in the analysis of data form inherently nonlinear physical processes. In particular, Osborne's so-called nonlinear Fourier analysis has been successfully used in the study of waves whose dynamics are (to a good approximation) governed by the Korteweg-de Vries equation. In this paper, the mathematical details and a new application of the PIST are discussed. The numerical aspects of and difficulties in obtaining the nonlinear Fourier (i.e., PIST) spectrum of a physical data set are also addressed. In particular, an improved bracketing of the "spectral eigenvalues" (i.e., the ±1 crossings of the Floquet discriminant) and a new root-finding algorithm for computing the latter are proposed. Finally, it is shown how the PIST can be used to gain insightful information about the phenomenon of soliton-induced acoustic resonances, by computing the nonlinear Fourier spectrum of a data set from a simulation of internal solitary wave generation and propagation in the Yellow Sea.

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Section: Resultssupporting

confidence: 65%

Internal solitary waves in the ocean: Analysis using the periodic, inverse scattering transform

Christov

2009

Mathematics and Computers in Simulation

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“…Resonant coupling between acoustic modes is caused by range-dependent anomalies in the bottom 38 or water column 7,11 when the following condition is satisfied:…”

Section: Computational Resultsmentioning

confidence: 99%

“…For example, in the Yellow Sea study 1 nonlinear internal wave packets were represented by deterministic sinusoidal waves, so the effective wavenumber was easily specified, and simulations indicated that a resonant interaction could cause the large transmission losses observed. More recently, the role of effective internal wave wavenumbers has been shown for continuous wave ͑CW͒ transmissions at 240 Hz, 6 above 450 Hz, 11 and for broadband pulses centered at 224 Hz and above. 12,13 Nonetheless, we are not aware of combinations of a well-sampled ocean environment, research-quality acoustic data, and a comprehensive modeling study that demonstrates the occur-rence and effective operation of the resonance mechanism.…”

Section: Introductionmentioning

confidence: 99%

Analysis and modeling of broadband airgun data influenced by nonlinear internal waves

Frank

Badiey

Lynch

et al. 2004

The Journal of the Acoustical Society of America

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To investigate acoustic effects of nonlinear internal waves, the two southwest tracks of the SWARM 95 experiment are considered. An airgun source produced broadband acoustic signals while a packet of large nonlinear internal waves passed between the source and two vertical linear arrays. The broadband data and its frequency range ͑10-180 Hz͒ distinguish this study from previous work. Models are developed for the internal wave environment, the geoacoustic parameters, and the airgun source signature. Parabolic equation simulations demonstrate that observed variations in intensity and wavelet time-frequency plots can be attributed to nonlinear internal waves. Empirical tests are provided of the internal wave-acoustic resonance condition that is the apparent theoretical mechanism responsible for the variations. Peaks of the effective internal wave spectrum are shown to coincide with differences in dominant acoustic wavenumbers comprising the airgun signal. The robustness of these relationships is investigated by simulations for a variety of geoacoustic and nonlinear internal wave model parameters.

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“…For a substantial signal loss to occur, as shown in Fig. 4, another condition is necessary [1]. The 120 lower-order mode must be initially propagating most of the acoustic energy and this mode 0 must have a smaller ocean bottom attenuation associated with it.…”

Section: Tides Hydrography and Parametersmentioning

confidence: 99%

“…Recent advances in computer modeling have made it possible to simulate both the evolving ocean solitons and the acoustic signals that pass through them. Using this approach computer simulations have been used to predict the large-scale effects on the acoustic signal [1]. The typical sequence of events requires that a nonlinear, nonhydrostatic, primitive equation ocean model be initialized by tidal velocity and density, and used to estimate the changes in the environmental parameters due to soliton creation and propagation [2].…”

Section: Introductionmentioning

confidence: 99%

Using Ocean Acoustics to Improve Large Shallow-water Soliton Simulations

Chin‐Bing¹,

Warn-Varnas²,

King³

et al. 2007

Oceans 2007

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Large amplitude ocean solitons can interfere with underwater acoustic signals that pass through the solitons. This can disrupt underwater acoustic communications and produce erroneous measurements in ocean acoustic experiments. Recently a simulation method has been developed that links certain properties of the soliton with properties of the affected acoustic signals. This can be used as a "feedback method" to determine if acoustic signals are likely to be affected in ocean regions where solitons may be present. Results from ocean model and acoustic model simulations are given to illustrate the method.

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Analysis of coupled oceanographic and acoustic soliton simulations in the Yellow Sea: a search for soliton-induced resonances

Cited by 12 publications

References 10 publications

Internal solitary waves in the ocean: Analysis using the periodic, inverse scattering transform

Internal solitary waves in the ocean: Analysis using the periodic, inverse scattering transform

Analysis and modeling of broadband airgun data influenced by nonlinear internal waves

Using Ocean Acoustics to Improve Large Shallow-water Soliton Simulations

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