Thematische Bibliographien / Nonlinear internal waves

Auswahl der wissenschaftlichen Literatur zum Thema „Nonlinear internal waves“

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Veröffentlicht am 6. Juli 2024

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Zeitschriftenartikel zum Thema "Nonlinear internal waves"

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Holyer, Judith Y. „Nonlinear, periodic, internal waves“. Fluid Dynamics Research 5, Nr. 4 (März 1990): 301–20. http://dx.doi.org/10.1016/0169-5983(90)90025-t.

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Helfrich, Karl R., und W. Kendall Melville. „LONG NONLINEAR INTERNAL WAVES“. Annual Review of Fluid Mechanics 38, Nr. 1 (Januar 2006): 395–425. http://dx.doi.org/10.1146/annurev.fluid.38.050304.092129.

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Nakayama, Keisuke, Taro Kakinuma, Hidekazu Tsuji und Masayuki Oikawa. „NONLINEAR OBLIQUE INTERACTION OF LARGE AMPLITUDE INTERNAL SOLITARY WAVES“. Coastal Engineering Proceedings 1, Nr. 33 (09.10.2012): 19. http://dx.doi.org/10.9753/icce.v33.waves.19.

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Solitary waves are typical nonlinear long waves in the ocean. The two-dimensional interaction of solitary waves has been shown to be essentially different from the one-dimensional case and can be related to generation of large amplitude waves (including ‘freak waves’). Concerning surface-water waves, Miles (1977) theoretically analyzed interaction of three solitary waves, which is called “resonant interaction” because of the relation among parameters of each wave. Weakly-nonlinear numerical study (Funakoshi, 1980) and fully-nonlinear one (Tanaka, 1993) both clarified the formation of large amplitude wave due to the interaction (“stem” wave) at the wall and its dependency of incident angle. For the case of internal waves, analyses using weakly nonlinear model equation (ex. Tsuji and Oikawa, 2006) suggest also qualitatively similar result. Therefore, the aim of this study is to investigate the strongly nonlinear interaction of internal solitary waves; especially whether the resonant behavior is found or not. As a result, it is found that the amplified internal wave amplitude becomes about three times as much as the original amplitude. In contrast, a "stem" was not found to occur when the incident wave angle was more than the critical angle, which has been demonstrated in the previous studies.
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Helfrich, Karl R., und Roger H. J. Grimshaw. „Nonlinear Disintegration of the Internal Tide“. Journal of Physical Oceanography 38, Nr. 3 (01.03.2008): 686–701. http://dx.doi.org/10.1175/2007jpo3826.1.

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Abstract The disintegration of a first-mode internal tide into shorter solitary-like waves is considered. Since observations frequently show both tides and waves with amplitudes beyond the restrictions of weakly nonlinear theory, the evolution is studied using a fully nonlinear, weakly nonhydrostatic two-layer theory that includes rotation. In the hydrostatic limit, the governing equations have periodic, nonlinear inertia–gravity solutions that are explored as models of the nonlinear internal tide. These long waves are shown to be robust to weak nonhydrostatic effects. Numerical solutions show that the disintegration of an initial sinusoidal linear internal tide is closely linked to the presence of these nonlinear waves. The initial tide steepens due to nonlinearity and sheds energy into short solitary waves. The disintegration is halted as the longwave part of the solution settles onto a state close to one of the nonlinear hydrostatic solutions, with the short solitary waves superimposed. The degree of disintegration is a function of initial amplitude of the tide and the properties of the underlying nonlinear hydrostatic solutions, which, depending on stratification and tidal frequency, exist only for a finite range of amplitudes (or energies). There is a lower threshold below which no short solitary waves are produced. However, for initial amplitudes above another threshold, given approximately by the energy of the limiting nonlinear hydrostatic inertia–gravity wave, most of the initial tidal energy goes into solitary waves. Recent observations in the South China Sea are briefly discussed.
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Moum, J. N., J. M. Klymak, J. D. Nash, A. Perlin und W. D. Smyth. „Energy Transport by Nonlinear Internal Waves“. Journal of Physical Oceanography 37, Nr. 7 (01.07.2007): 1968–88. http://dx.doi.org/10.1175/jpo3094.1.

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Abstract Winter stratification on Oregon’s continental shelf often produces a near-bottom layer of dense fluid that acts as an internal waveguide upon which nonlinear internal waves propagate. Shipboard profiling and bottom lander observations capture disturbances that exhibit properties of internal solitary waves, bores, and gravity currents. Wavelike pulses are highly turbulent (instantaneous bed stresses are 1 N m−2), resuspending bottom sediments into the water column and raising them 30+ m above the seafloor. The wave cross-shelf transport of fluid often counters the time-averaged Ekman transport in the bottom boundary layer. In the nonlinear internal waves that were observed, the kinetic energy is roughly equal to the available potential energy and is O(0.1) megajoules per meter of coastline. The energy transported by these waves includes a nonlinear advection term 〈uE〉 that is negligible in linear internal waves. Unlike linear internal waves, the pressure–velocity energy flux 〈up〉 includes important contributions from nonhydrostatic effects and surface displacement. It is found that, statistically, 〈uE〉 ≃ 2〈up〉. Vertical profiles through these waves of elevation indicate that up(z) is more important in transporting energy near the seafloor while uE(z) dominates farther from the bottom. With the wave speed c estimated from weakly nonlinear wave theory, it is verified experimentally that the total energy transported by the waves is 〈up〉 + 〈uE〉 ≃ c〈E〉. The high but intermittent energy flux by the waves is, in an averaged sense, O(100) watts per meter of coastline. This is similar to independent estimates of the shoreward energy flux in the semidiurnal internal tide at the shelf break.
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Yamashita, Kei, Taro Kakinuma und Keisuke Nakayama. „NUMERICAL ANALYSES ON PROPAGATION OF NONLINEAR INTERNAL WAVES“. Coastal Engineering Proceedings 1, Nr. 32 (01.02.2011): 24. http://dx.doi.org/10.9753/icce.v32.waves.24.

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A set of nonlinear surface/internal-wave equations, which have been derived on the basis of the variational principle without any assumptions concerning wave nonlinearity and dispersion, is applied to compare numerical results with experimental data of surface/internal waves propagating through a shallow- or a deep-water region in a tank. Internal waves propagating over a submerged breakwater or a uniformly sloping beach are also simulated. The internal progressive wave shows remarkable shoaling when the interface reaches the critical level, after which physical variables including wave celerity become unstable near the wave-breaking point. In the case of the internal-wave trough reflecting at the vertical wall, the vertical velocities of water particles in the vicinity of the interface are different from that of the moving interface at the wall near the wave breaking, which means that the kinematic boundary condition on the interface of trough has been unsatisfied.
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Jackson, Christopher, Jose da Silva und Gus Jeans. „The Generation of Nonlinear Internal Waves“. Oceanography 25, Nr. 2 (01.06.2012): 108–23. http://dx.doi.org/10.5670/oceanog.2012.46.

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Müller, Peter, Greg Holloway, Frank Henyey und Neil Pomphrey. „Nonlinear interactions among internal gravity waves“. Reviews of Geophysics 24, Nr. 3 (August 1986): 493–536. http://dx.doi.org/10.1029/rg024i003p00493.

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Diebels, Stefan, Bernd Schuster und Kolumban Hutter. „Nonlinear internal waves over variable topography“. Geophysical & Astrophysical Fluid Dynamics 76, Nr. 1-4 (November 1994): 165–92. http://dx.doi.org/10.1080/03091929408203664.

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Kshevetskii, S. P., und S. B. Leble. „Nonlinear dispersion of long internal waves“. Fluid Dynamics 23, Nr. 3 (1988): 448–52. http://dx.doi.org/10.1007/bf01054756.

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Dissertationen zum Thema "Nonlinear internal waves"

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Fedorov, Alexey V. „Nonlinear effects in surface and internal waves /“. Diss., Connect to a 24 p. preview or request complete full text in PDF format. Access restricted to UC campuses, 1997. http://wwwlib.umi.com/cr/ucsd/fullcit?p9737309.

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Dobra, Tom. „Nonlinear interactions of internal gravity waves“. Thesis, University of Bristol, 2019. http://hdl.handle.net/1983/4a3f99e2-5e73-4c7c-8d3d-e1141fb23dda.

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Internal waves carry more available energy than any other transmission system on Earth: lunar diurnal excitation drives 1 TW of wave power inside the world's oceans. Energy is transmitted over thousands of kilometres and individual waves may be hundreds of metres high. Where they break, they deposit their energy, and, in such regions, they greatly enhance the vertical transport of carbon dioxide, oxygen and heat. Despite their significance, much remains to be understood about internal waves, and this thesis explores some of these questions using a combination of experiments and theory. One way to generate internal waves is by sinusoidally oscillating the boundary of the fluid. A full spectrum of harmonics is generated, whose phases and amplitudes are predicted by perturbation theory. Their origin is identified solely as nonlinear geometric excitation at the boundary; no interactions between the harmonics of the same infinitely wide, monochromatic input are possible within the fluid. However, for narrow wave beams, resonant triadic wave-wave interactions are predicted using a novel numerical implementation of the singular two-dimensional Green's function. To verify the predictions, a new experiment was designed, consisting of an electronically actuated "magic carpet" inserted into the base of a tank. It perturbs the fluid lying above its surface to generate internal waves of almost any shape and size. The carpet is actuated by an array of 100 stepper motors, which are controlled by bespoke software that manages the timing in increments of 30 ns; this ensures precise spatiotemporal control of the waveform. The carpet itself is made of a neoprene-nylon composite, and its bending behaviour is modelled in detail to characterise the waveform imparted on the fluid. The experiments support the theoretical predictions, but also permit strongly nonlinear regimes, such as wave breaking, at amplitudes above the applicable domain of the theory.
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Zhao, Zhongxiang. „A study of nonlinear internal waves in the northeastern South China Sea“. Access to citation, abstract and download form provided by ProQuest Information and Learning Company; downloadable PDF file 11.38Mb, 181 p, 2005. http://wwwlib.umi.com/dissertations/fullcit/3157312.

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Yuan, Chunxin. „The evolution of oceanic nonlinear internal waves over variable topography“. Thesis, University College London (University of London), 2018. http://discovery.ucl.ac.uk/10053741/.

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This thesis is concerned with the evolution of oceanic nonlinear internal waves over variable one-dimensional and two-dimensional topography. The methodology is based on a variable-coefficient Korteweg-de Vries (vKdV) equation and its vari- ants, including the Ostrovsky equation which takes rotation into account and a Kadomtsev-Petviashvili (KP) equation which extends these one-dimensional models to two space dimensions. In addition, a fully nonlinear and non-hydrostatic three- dimensional primitive equation model, MIT general circulation model (MITgcm), is invoked to provide supplementary analyses. First, the long-time combined effect of rotation and variable topography on the evolution of internal undular bore is stud- ied; then an initial mode-2 internal solitary wave propagating onto the continental shelf-slope in a three-layer fluid is investigated. After that, the research is extended to two-dimensional space in which submarine canyon and plateau topography are implemented to examine a mode-1 internal solitary wave propagating over these topographic features. Finally, the topographic effect on internal wave-wave interac- tions is examined using an initial ‘V-shape’ wave representing two interacting waves in the framework of the KP equation.
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Alias, Azwani B. „Mathematical modelling of nonlinear internal waves in a rotating fluid“. Thesis, Loughborough University, 2014. https://dspace.lboro.ac.uk/2134/15861.

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Large amplitude internal solitary waves in the coastal ocean are commonly modelled with the Korteweg-de Vries (KdV) equation or a closely related evolution equation. The characteristic feature of these models is the solitary wave solution, and it is well documented that these provide the basic paradigm for the interpretation of oceanic observations. However, often internal waves in the ocean survive for several inertial periods, and in that case, the KdV equation is supplemented with a linear non-local term representing the effects of background rotation, commonly called the Ostrovsky equation. This equation does not support solitary wave solutions, and instead a solitary-like initial condition collapses due to radiation of inertia-gravity waves, with instead the long-time outcome typically being an unsteady nonlinear wave packet. The KdV equation and the Ostrovsky equation are formulated on the assumption that only a single vertical mode is used. In this thesis we consider the situation when two vertical modes are used, due to a near-resonance between their respective linear long wave phase speeds. This phenomenon can be described by a pair of coupled Ostrovsky equations, which is derived asymptotically from the full set of Euler equations and solved numerically using a pseudo-spectral method. The derivation of a system of coupled Ostrovsky equations is an important extension of coupled KdV equations on the one hand, and a single Ostrovsky equation on the other hand. The analytic structure and dynamical behaviour of the system have been elucidated in two main cases. The first case is when there is no background shear flow, while the second case is when the background state contains current shear, and both cases lead to new solution types with rich dynamical behaviour. We demonstrate that solitary-like initial conditions typically collapse into two unsteady nonlinear wave packets, propagating with distinct speeds corresponding to the extremum value in the group velocities. However, a background shear flow allows for several types of dynamical behaviour, supporting both unsteady and steady nonlinear wave packets, propagating with the speeds which can be predicted from the linear dispersion relation. In addition, in some cases secondary wave packets are formed associated with certain resonances which also can be identified from the linear dispersion relation. Finally, as a by-product of this study it was shown that a background shear flow can lead to the anomalous version of the single Ostrovsky equation, which supports a steady wave packet.
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Smith, Sean Paul. „Laboratory Experiments on Colliding Nonresonant Internal Wave Beams“. BYU ScholarsArchive, 2012. https://scholarsarchive.byu.edu/etd/3300.

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Internal waves are prominent fluid phenomena in both the atmosphere and ocean. Because internal waves have the ability to transfer a large amount of energy, they contribute to the global distribution of energy. This causes internal waves to influence global climate patterns and critical ocean mixing. Therefore, studying internal waves provides additional insight in how to model geophysical phenomena that directly impact our lives. There is a myriad of fluid phenomena with which internal waves can interact, including other internal waves. Equipment and processes are developed to perform laboratory experiments analyzing the interaction of two colliding nonresonant internal waves. Nonresonant interactions have not been a major focus in previous research. The goal of this study is to visualize the flow field, compare qualitative results to Tabaei et al., and determine the energy partition to the second-harmonic for eight unique interaction configurations. When two non-resonant internal waves collide, harmonics are formed at the sum and difference of multiples of the colliding waves' frequencies. In order to create the wave-wave interaction, two identical wave generators were designed and manufactured. The interaction flow field is visualized using synthetic schlieren and the energy entering and leaving the interaction region is analyzed. It is found that the energy partitioned to the harmonics is much more dependent on the general direction the colliding waves approach each other than on the angle. Depending on the configurations, between 0.5 and 7 percent of the energy within the colliding waves is partitioned to the second-harmonics. Interactions in which the colliding waves have opposite signed vertical wavenumber partition much more energy to the harmonics. Most of the energy entering the interaction is dissipated by viscous forces or leaves the interaction within the colliding waves. For all eight configurations studied, 5 to 8 percent of the energy entering the interaction has an unknown fate.
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Stastna, Marek. „Large fully nonlinear solitary and solitary-like internal waves in the ocean“. Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2001. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp05/NQ65262.pdf.

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Lin, Duo-min Wu Theodore Y. T. Wu Theodore Y. T. „Run-up and nonlinear propagation of oceanic internal waves and their interactions /“. Diss., Pasadena, Calif. : California Institute of Technology, 1996. http://resolver.caltech.edu/CaltechETD:etd-12192007-084353.

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Kim, Won-Gyu 1962. „A Study of Nonlinear Dynamics in an Internal Water Wave Field in a Deep Ocean“. Thesis, University of North Texas, 1996. https://digital.library.unt.edu/ark:/67531/metadc278092/.

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The Hamiltonian of a stably stratified incompressible fluid in an internal water wave in a deep ocean is constructed. Studying the ocean internal wave field with its full dynamics is formidable (or unsolvable) so we consider a test-wave Hamiltonian to study the dynamical and statistical properties of the internal water wave field in a deep ocean. Chaos is present in the internal test-wave dynamics using actual coupling coefficients. Moreover, there exists a certain separatrix net that fills the phase space and is covered by a thin stochastic layer for a two-triad pure resonant interaction. The stochastic web implies the existence of diffusion of the Arnold type for the minimum dimension of a non-integrable autonomous system. For non-resonant case, stochastic layer is formed where the separatrix from KAM theory is disrupted. However, the stochasticity does not increase monotonically with increasing energy. Also, the problem of relaxation process is studied via microscopic Hamiltonian model of the test-wave interacting nonlinearly with ambient waves. Using the Mori projection technique, the projected trajectory of the test-wave is transformed to a form which corresponds to a generalized Langevin equation. The mean action of the test-wave grows ballistically for a short time regime, and quenches back to the normal diffusion for a intermediate time regime and regresses linearly to a state of statistical equilibrium. Applying the Nakajima-Zwanzig technique on the test-wave system, we get the generalized master equation on the test-wave system which is non-Markovian in nature. From our numerical study, the distribution of the test-wave has non-Gaussian statistics.
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Wang, Caixia. „Geophysical observations of nonlinear internal solitary-like waves in the Strait of Georgia“. Thesis, University of British Columbia, 2009. http://hdl.handle.net/2429/17468.

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A novel observational method for studying internal features in the coastal ocean is devel- oped and tested in a study of large nonlinear internal solitary-like waves. Observations were carried out in the southern Strait of Georgia in the summers of 2001 and 2002. By quantitatively combining photogrammetrically rectified oblique photo images from a circling aircraft with water column data we track a number of internal wave packets for periods of up to one hour and obtain a more complete view of internal waves, including propagation, oblique interaction, and generation. First, the applicability of various weakly nonlinear theories in modeling propagation of these large waves is tested. Both two-layer and continuous linear, KdV (Korteweg-de Vries), and BO (Benjamin-Ono) models are applied with and without background shear currents. After background shear currents are included, it is found that a continuously stratified BO equation can be used to model propagation speeds within ob- servational error, and that this is not true for other theories. Second, four observed oblique wave-wave interactions including two Mach interactions, one interaction which varied from known interaction patterns, and one very shallow angle regular interaction are analyzed. An existing small-amplitude theory is applied but is found to overestimate the likelihood of Mach interaction at large amplitude. Finally, large-scale aerial surveys are mapped. Using speeds typical of observed waves, their time and place of origin are predicted. It is found that the observed waves are generated at the passes to the south of the Strait of Georgia and are released into the Strait after ebb tides.
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Bücher zum Thema "Nonlinear internal waves"

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Hutter, Kolumban, Hrsg. Nonlinear Internal Waves in Lakes. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-23438-5.

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Dynamics of internal layers and diffusive interfaces. Philadelphia, Pa: Society for Industrial and Applied Mathematics, 1988.

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Nonlinear Internal Waves In Lakes. Springer, 2011.

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Hutter, Kolumban. Nonlinear Internal Waves in Lakes. Springer, 2014.

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Hutter, Kolumban. Nonlinear Internal Waves in Lakes. Springer, 2011.

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Hutter, Kolumban. Nonlinear Internal Waves in Lakes. Springer, 2011.

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Tsunami and Nonlinear Waves. Springer, 2007.

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Kundu, Anjan. Tsunami and Nonlinear Waves. Springer London, Limited, 2007.

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O'Driscoll, Kieran. Nonlinear internal waves on the continental shelf: Observations and KdV solutions. 1999.

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V, Ovsi͡a︡nnikov L., Monakhov V. N und Institut gidrodinamiki imeni M.A. Lavrentʹeva., Hrsg. Nelineĭnye problemy teorii poverkhnostnykh i vnutrennikh voln. Novosibirsk: Izd-vo "Nauka," Sibirskoe otd-nie, 1985.

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Buchteile zum Thema "Nonlinear internal waves"

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Abou-Dina, Moustafa S., und Mohamed A. Helal. „Nonlinear Internal Waves“. In Encyclopedia of Complexity and Systems Science, 1–16. New York, NY: Springer New York, 2014. http://dx.doi.org/10.1007/978-3-642-27737-5_363-3.

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Abou-Dina, Moustafa S., und Mohamed Atef Helal. „Nonlinear Internal Waves“. In Encyclopedia of Complexity and Systems Science Series, 181–91. New York, NY: Springer US, 2022. http://dx.doi.org/10.1007/978-1-0716-2457-9_363.

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Abou-Dina, Moustafa S., und M. A. Helal. „Nonlinear Internal Waves“. In Encyclopedia of Complexity and Systems Science, 1–11. Berlin, Heidelberg: Springer Berlin Heidelberg, 2019. http://dx.doi.org/10.1007/978-3-642-27737-5_363-4.

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Miyata, Motoyasu. „Long Internal Waves of Large Amplitude“. In Nonlinear Water Waves, 399–406. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/978-3-642-83331-1_44.

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Ostrovsky, L. A., und Yu A. Stepanyants. „Nonlinear Surface and Internal Waves in Rotating Fluids“. In Nonlinear Waves 3, 106–28. Berlin, Heidelberg: Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-75308-4_10.

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Miropol’sky, Yu Z., und O. D. Shishkina. „Long Weakly Nonlinear Internal Waves“. In Atmospheric and Oceanographic Sciences Library, 231–58. Dordrecht: Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-017-1325-2_9.

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Compelli, Alan C., Rossen I. Ivanov und Tony Lyons. „Integrable Models of Internal Gravity Water Waves Beneath a Flat Surface“. In Nonlinear Water Waves, 87–108. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-33536-6_6.

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Kluczek, Mateusz, und Adrián Rodríguez-Sanjurjo. „Global Diffeomorphism of the Lagrangian Flow-map for a Pollard-like Internal Water Wave“. In Nonlinear Water Waves, 19–34. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-33536-6_2.

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Hutter, K. „Internal Waves in Lakes: Generation, Transformation, Meromixis – An Attempt at a Historical Perspective“. In Nonlinear Internal Waves in Lakes, 1–22. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-23438-5_1.

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Filatov, N., A. Terzevik, R. Zdorovennov, V. Vlasenko, N. Stashchuk und K. Hutter. „Field Studies of Non-Linear Internal Waves in Lakes on the Globe“. In Nonlinear Internal Waves in Lakes, 23–103. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-23438-5_2.

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Konferenzberichte zum Thema "Nonlinear internal waves"

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Mantsyzov, B. I. „Gap soliton internal modes beating and optical zoomeron“. In Nonlinear Guided Waves and Their Applications. Washington, D.C.: OSA, 2005. http://dx.doi.org/10.1364/nlgw.2005.wd34.

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Makarenko, Nikolai I., und Janna L. Maltseva. „Amplitude Bounds for Nonlinear Internal Waves“. In ASME 2003 22nd International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2003. http://dx.doi.org/10.1115/omae2003-37458.

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Amplitude bounds imposed by the conservation of mass, momentum and energy for internal gravity waves are considered. We discuss the theoretical schemes intended for a description of permanent waves just up to the broadening limit. Analytical methods which allow to determine the critical amplitude values for the current with a given density profile are considered. Attention is focused on the continuously stratified flows having multiple broadening limits. The role of the mean density profile and the influence of fine-scale stratification are analysed.
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Shugan, Igor V., Hwung-Hweng Hwung und Ray-Yeng Yang. „Internal Waves Impact on the Sea Surface“. In ASME 2011 30th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2011. http://dx.doi.org/10.1115/omae2011-49870.

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The impact of subsurface currents induced by internal waves on nonlinear Stokes surface waves is theoretically analyzed. An analytical and numerical solution of the modulation equations are found under the conditions close to the group velocity resonance. It is shown that smoothing of the down current surface waves is accompanied by a relatively high-frequency modulation while the profile of the opposing current is reproduced by the surface wave’s envelope. The possibility of generation of an internal wave forerunner, that is a modulated surface wavepacket, is established. Long surface waves can form the wave modulation forerunner ahead of the internal wave, while the relatively short surface waves create the trace of the internal wave. Modulation of surface waves by the periodic internal wave train may have the characteristic period less than the internal wave period and be no uniform while crossing the current zone. Surface wave excitation by internal waves, observable at their group resonance is efficient only on the opposing current.
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Yang, Jianke. „Internal oscillations of (2+1) dimensional solitons in a saturable nonlinear medium“. In Nonlinear Guided Waves and Their Applications. Washington, D.C.: OSA, 2002. http://dx.doi.org/10.1364/nlgw.2002.nltud48.

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5

Makarenko, Nikolai I., und Janna L. Maltseva. „Nonlinear Internal Waves in Stratified Fluid With Homogeneous Layer“. In ASME 2005 24th International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2005. http://dx.doi.org/10.1115/omae2005-67326.

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The problem of steady internal waves in a weakly stratified two-layered fluid is studied analytically. We discuss the model with a constant density in lower layer and exponential stratification in the other one. The long-wave approximation using a scaling procedure with small Boussinesq parameter is constructed. The nonlinear ordinary differential equation describing large amplitude solitary waves and internal bores is obtained.
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6

Fronk, Matthew D., und Michael J. Leamy. „Internal Resonance of Plane Waves in Nonlinear Lattices“. In ASME 2019 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/detc2019-97879.

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Abstract Recent studies have employed perturbation techniques to derive amplitude-dependent band structures in nonlinear periodic materials. The associated applications include amplitude-dependent filters, waveguides, and diodes. However, for a range of frequencies and wavenumbers, perturbation-based dispersion corrections for a single wave break-down due to internal resonance between the primary wave and its nonlinearity-induced higher-harmonics. This work presents a perturbation analysis of one-dimensional plane waves in lattices with internal resonances. The exchange of energy between propagating modes within the same branch of the lattice’s band structure is considered, and the stability of the energy exchange is assessed through a local analysis. Direct numerical integration of the lattice equations of motion validates the analytical expressions for energy exchange. These findings can be used to resolve discontinuities in band diagrams that do not account for internal resonances and may inspire new technology that enables long-range coherent signal transmission in nonlinear media.
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7

Kurkin, Andrey Alexandrovich, Lidia Valerievna Talalushkina, Artem Alexandrovich Rodin, Oksana Evgenievna Kurkina, Pavel Viktorovich Lobovikov, Nikita Mikhailovich Likhodeev und Andrey Yuryevich Zemlyannikin. „Experimental and numerical study of nonlinear internal waves“. In The International Symposium “Mesoscale and Submesoscale Processes in the Hydrosphere and Atmosphere”. Shirshov Institute of Oceanology of Russian Academy of Sciences, 2018. http://dx.doi.org/10.29006/978-5-9901449-4-1-2018-60.

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8

Jia, Tong, Xiao-Ming Li und Jianjun Liang. „Generation of Nonlinear Internal Waves Around Hainan Island“. In IGARSS 2022 - 2022 IEEE International Geoscience and Remote Sensing Symposium. IEEE, 2022. http://dx.doi.org/10.1109/igarss46834.2022.9884480.

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9

Kurup, Nishu V., Shan Shi, Zhongmin Shi, Wenju Miao und Lei Jiang. „Study of Nonlinear Internal Waves and Impact on Offshore Drilling Units“. In ASME 2011 30th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2011. http://dx.doi.org/10.1115/omae2011-50304.

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Internal waves near the ocean surface have been observed in many parts of the world including the Andaman Sea, Sulu Sea and South China Sea among others. The factors that cause and propagate these large amplitude waves include bathymetry, density stratification and ocean currents. Although their effects on floating drilling platforms and its riser systems have not been extensively studied, these waves have in the past seriously disrupted offshore exploration and drilling operations. In particular a drill pipe was ripped from the BOP and lost during drilling operations in the Andaman sea. Drilling riser damages were also reported from the south China Sea among other places. The purpose of this paper is to present a valid numerical model conforming to the physics of weakly nonlinear internal waves and to study the effects on offshore drilling semisubmersibles and riser systems. The pertinent differential equation that captures the physics is the Korteweg-de Vries (KdV) equation which has a general solution involving Jacobian elliptical functions. The solution of the Taylor Goldstein equation captures the effects of the pycnocline. Internal wave packets with decayed oscillations as observed from satellite pictures are specifically modeled. The nonlinear internal waves are characterized by wave amplitudes that can exceed 50 ms and the present of shearing currents near the layer of pycnocline. The offshore drilling system is exposed to these current shears and the associated movements of large volumes of water. The effect of internal waves on drilling systems is studied through nonlinear fully coupled time domain analysis. The numerical model is implemented in a coupled analysis program where the hull, moorings and riser are considered as an integrated system. The program is then utilized to study the effects of the internal wave on the platform global motions and drilling system integrity. The study could be useful for future guidance on offshore exploration and drilling operations in areas where the internal wave phenomenon is prominent.
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Maltseva, Janna L. „Limiting Forms of Internal Solitary Waves“. In ASME 2002 21st International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2002. http://dx.doi.org/10.1115/omae2002-28514.

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High sensitivity of nonlinear wave structures in the weakly stratified fluid with respect to small perturbations of density in the upstream flow was pointed out in the paper (Benney & Ko, 1978). In present paper the influence of fine structure of stratification on one of the limiting forms, namely plateau-shaped solitary waves is analyzed. It is demonstrated that new limiting forms of solitary waves are possible in the case of continuous stratification close to linear or exponential one.
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Berichte der Organisationen zum Thema "Nonlinear internal waves"

1

Alford, Matthew H. Moored Observations of Nonlinear Internal Waves near DongSha. Fort Belvoir, VA: Defense Technical Information Center, September 2006. http://dx.doi.org/10.21236/ada612583.

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2

Lettvin, Ellen E. Modeling the SAR Signature of Nonlinear Internal Waves. Fort Belvoir, VA: Defense Technical Information Center, September 2006. http://dx.doi.org/10.21236/ada612673.

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3

Lien, Ren-Chieh, und Eric A. D'Asaro. Energy Budget of Nonlinear Internal Waves near Dongsha. Fort Belvoir, VA: Defense Technical Information Center, September 2006. http://dx.doi.org/10.21236/ada612674.

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4

Alford, Matthew H. Moored Observations of Nonlinear Internal Waves Near DongSha. Fort Belvoir, VA: Defense Technical Information Center, September 2009. http://dx.doi.org/10.21236/ada531928.

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5

Liu, Antony K. Nonlinear Internal Waves in the South China Sea. Fort Belvoir, VA: Defense Technical Information Center, September 2008. http://dx.doi.org/10.21236/ada533815.

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6

Lien, Ren-Chieh. Energy Budget of Nonlinear Internal Waves Near Dongsha. Fort Belvoir, VA: Defense Technical Information Center, September 2008. http://dx.doi.org/10.21236/ada534050.

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7

Lien, Ren-Chieh. Energy Budget of Nonlinear Internal Waves near Dongsha. Fort Belvoir, VA: Defense Technical Information Center, September 2010. http://dx.doi.org/10.21236/ada542452.

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8

Alford, Matthew H. Moored Observations of Nonlinear Internal Waves Near DongSha. Fort Belvoir, VA: Defense Technical Information Center, Dezember 2009. http://dx.doi.org/10.21236/ada520628.

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9

McHugh, John P. Nonlinear Aspects of Internal Waves in the Atmosphere. Fort Belvoir, VA: Defense Technical Information Center, August 2009. http://dx.doi.org/10.21236/ada562556.

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10

Alford, Matthew H. Moored Observations of Nonlinear Internal Waves near DongSha. Fort Belvoir, VA: Defense Technical Information Center, September 2007. http://dx.doi.org/10.21236/ada573108.

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