Nonlinear Internal Waves in the Shelf Zone of the Sea

Kukarin, V. F.; Liapidevskii, V. Yu.; Khrapchenkov, F. F.; Yaroshchuk, I. O.

doi:10.1134/s001546281903008x

Cited by 10 publications

(4 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Replacing the last two equations in (20) with (21), we obtain the normal form of this system. Further, we are looking for non-trivial solutions of equations ( 20) corresponding to a state of rest as ξ → −∞:…”

Section: Travelling Wavesmentioning

confidence: 99%

“…The construction of solutions in the class of travelling waves is simplified in the case of flow symmetry with respect to the centreline z = H 1 = H 0 /2. It follows from system (19) (or from (20), (21) under…”

Section: Symmetric Travelling Wavesmentioning

confidence: 99%

“…For small aspect ratio of the thickness of each fluid layer to typical wavelength, a strongly non-linear 1D model to describe the evolution of finite amplitude long internal waves in a multi-layer system was proposed in [7]. Various modifications of this non-linear dispersive model, mainly for a three-layer fluid, were considered in [18,19,20,21]. In these works, theoretical results were compared with experimental data and field observations of the propagation of internal waves in the coastal zone.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Hyperbolic model of internal solitary waves in a three-layer stratified fluid

Чесноков¹,

Liapidevskii²

2020

Preprint

View full text Add to dashboard Cite

We derive a new hyperbolic model describing the propagation of internal waves in a stratified shallow water with a non-hydrostatic pressure distribution. The construction of the hyperbolic model is based on the use of additional 'instantaneous' variables. This allows one to reduce the dispersive multi-layer Green-Naghdi model to a first-order system of evolution equations. The main attention is paid to the study of three-layer flows over uneven bottom in the Boussinesq approximation with the additional assumption of hydrostatic pressure in the intermediate layer. The hyperbolicity conditions of the obtained equations of three-layer flows are formulated and solutions in the class of travelling waves are studied. Based on the proposed hyperbolic and dispersive models, numerical calculations of the generation and propagation of internal solitary waves are carried out and their comparison with experimental data is given. Within the framework of the proposed three-layer hyperbolic model, a numerical study of the propagation and interaction of symmetric and non-symmetric soliton-like waves is performed.

show abstract

Section: Travelling Wavesmentioning

confidence: 99%

Section: Symmetric Travelling Wavesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Hyperbolic model of internal solitary waves in a three-layer stratified fluid

Чесноков¹,

Liapidevskii²

2020

Preprint

View full text Add to dashboard Cite

show abstract

“…For several years, the authors of this paper have been conducting regular hydroacoustic [12,13] and hydrophysical studies [14][15][16] at the geophysical test site of the Pacific Ocean Institute of the Far Eastern Branch of the Russian Academy of Sciences (POI FEB RAS), located in the shelf zone of the Sea of Japan. The main objectives of these studies are the research of intense internal waves (IWs), the effect of background (linear) and nonlinear IWs on the formation of sound fields, and statistical evaluation of weak sound signals against the background of ambient noise, for example [12,14,15,17]. The main measuring hydrophysical instruments for the experiments were current meters, thermistor strings (thermostrings) and CTD profilers, and various hydroacoustic equipment [13,18].…”

Section: Introductionmentioning

confidence: 99%

Estimation of Seawater Hydrophysical Characteristics from Thermistor Strings and CTD Data in the Sea of Japan Shelf Zone

Yaroshchuk

Kosheleva

Lazaryuk

et al. 2023

JMSE

View full text Add to dashboard Cite

The knowledge of salinity in a specific sea area with high accuracy is required to solve several acoustic and hydrophysical problems on the ocean shelf. Unlike temperature, which can be measured continuously for a long time, with, for example, thermistor strings (thermostrings), salinity values of required accuracy can be obtained only using CTD profiling. This is why methods of estimating salinity from temperature could be helpful. In this paper, the authors propose using the regression method for solving this type of problem and demonstrate the efficiency of this method using examples of temperature measurements from anchored thermostrings. For the correct construction of regressions, the authors analyzed the errors of CTD measurements and suggested a method for the dynamic correction of raw CTD data. From CTD profiling datasets of 12 years (2011–2022), after their dynamic correction, the authors obtained regression polynomial formulas for calculating salinity from temperature and studied data stability in space and time at the hydrophysical test site, located in the shelf zone of the Sea of Japan. The authors consider this method efficient and applicable in solving a variety of acoustic and hydrophysical problems.

show abstract