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Journal articles on the topic 'Wave interactions'

Author: Grafiati

Published: 4 June 2021

Last updated: 26 July 2025

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1

WEBB, G. M., A. R. ZAKHARIAN, M. BRIO, and G. P. ZANK. "Nonlinear and three-wave resonant interactions in magnetohydrodynamics." Journal of Plasma Physics 63, no. 5 (2000): 393–445. http://dx.doi.org/10.1017/s0022377800008370.

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Hamiltonian and variational formulations of equations describing weakly nonlinear magnetohydrodynamic (MHD) wave interactions in one Cartesian space dimension are discussed. For wave propagation in uniform media, the wave interactions of interest consist of (a) three-wave resonant interactions in which high-frequency waves may evolve on long space and time scales if the wave phases satisfy the resonance conditions; (b) Burgers self-wave steepening for the magnetoacoustic waves, and (c) mean wave field effects, in which a particular wave interacts with the mean wave field of the other waves. Th

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2

Liu, Dianyong, Chen Liang, and Xiao Liang. "Experimental and Numerical Investigation on the Interactions between the Weakly Three-Dimensional Waves." Journal of Marine Science and Engineering 11, no. 1 (2023): 115. http://dx.doi.org/10.3390/jmse11010115.

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The results of laboratory experiments and numerical simulations were performed to investigate the interactions between the weakly three-dimensional waves in an ‘X’ configuration, which has a 16-degree approaching angle. In addition, another oblique two-dimensional experiment was also conducted for comparison with the ‘X’ configuration but in one single channel by removing a dummy wall in the interaction region. Our experimental results show that as the wave trains propagate into the interaction region, it is obvious that there is an increase in the wave height which reaches a maximum height of

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3

ZHU, QIANG, YUMING LIU, and DICK K. P. YUE. "Resonant interactions between Kelvin ship waves and ambient waves." Journal of Fluid Mechanics 597 (February 1, 2008): 171–97. http://dx.doi.org/10.1017/s002211200700969x.

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We consider the nonlinear interactions between the steady Kelvin waves behind an advancing ship and an (unsteady) ambient wave. It is shown that, for moderately steep ship waves and/or ambient waves, third-order (quartet) resonant interaction among the two wave systems could occur, leading to the generation of a new propagating wave along a specific ray in the Kelvin wake. The wave vector of the generated wave as well as the angle of the resonance ray are determined by the resonance condition and are functions of the ship forward speed and the wave vector of the ambient wave. To understand the

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WEBB, G. M., A. ZAKHARIAN, M. BRIO, and G. P. ZANK. "Wave interactions in magnetohydrodynamics, and cosmic-ray-modified shocks." Journal of Plasma Physics 61, no. 2 (1999): 295–346. http://dx.doi.org/10.1017/s0022377898007399.

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Multiple-scales perturbation methods are used to study wave interactions in magnetohydrodynamics (MHD), in one Cartesian space dimension, with application to cosmic-ray-modified shocks. In particular, the problem of the propagation and interaction of short wavelength MHD waves, in a large-scale background flow, modified by cosmic rays is studied. The wave interaction equations consist of seven coupled evolution equations for the backward and forward Alfvén waves, the backward and forward fast and slow magnetoacoustic waves and the entropy wave. In the linear wave regime, the waves are coupled

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Matsuba, Yoshinao, Takenori Shimozono, and Yoshimitsu Tajima. "OBSERVATION OF NEARSHORE WAVE-WAVE INTERACTION USING UAV." Coastal Engineering Proceedings, no. 36 (December 30, 2018): 12. http://dx.doi.org/10.9753/icce.v36.waves.12.

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Infragravity waves, generated by nearshore wave-wave interaction, potentially increase the coastal hazard. Lack of detailed observation of nearshore wave fields however makes it difficult to fully understand the behavior of infragravity waves under wave-wave interactions. These days, UAVs (Unmanned Aerial Vehicles) have enabled us to easily capture the top-view images of the dynamic nearshore behavior with sufficiently high spatial and temporal resolutions. In this study, we conducted UAV-based observations of cross-shore variations of wave spectral characteristics to clarify the nearshore wav

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6

Lin, Ray Q., and Will Perrie. "Nonlinear wave-wave interactions and wedge waves." Chinese Journal of Oceanology and Limnology 23, no. 2 (2005): 129–43. http://dx.doi.org/10.1007/bf02894229.

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7

Lin, Lihwa, Zeki Demirbilek, Jinhai Zheng, and Hajime Mase. "RAPID CALCULATION OF NONLINEAR WAVE-WAVE INTERACTIONS." Coastal Engineering Proceedings 1, no. 32 (2011): 36. http://dx.doi.org/10.9753/icce.v32.waves.36.

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This paper presents an efficient numerical algorithm for the nonlinear wave-wave interactions that can be important in the evolution of coastal waves. Indeed, ocean waves truly interact with each others. However, because ocean waves can also interact with the atmosphere such as under variable wind and pressure fields, and waves will deform from deep to shallow water, it is generally difficult to differentiate the actual amount of the nonlinear energy transfer among spectral waves mixed with the atmospheric input and wave breaking. The classical derivation of the nonlinear wave energy transfer

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8

Ghosh, B., and K. P. Das. "Nonlinear interactions of two compressional hydromagnetic waves." Journal of Plasma Physics 39, no. 2 (1988): 215–28. http://dx.doi.org/10.1017/s002237780001299x.

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Nonlinear interactions of two azimuthally symmetric compressional hydromagnetic waves propagating in a cylindrical waveguide filled with cold magnetized plasma are investigated. Two cases are considered: the nonlinear interaction of two identical oppositely propagating compressional waves and the nonlinear interaction of two compressional waves propagating with equal group velocities. In the first case the second-order perturbation fields generated through self- and mutual interactions of the waves are calculated and their effect on the otherwise-formed simple linear standing-wave pattern is s

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9

Casaday, B., and J. Crockett. "Investigation of High-Frequency Internal Wave Interactions with an Enveloped Inertia Wave." International Journal of Geophysics 2012 (2012): 1–12. http://dx.doi.org/10.1155/2012/863792.

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Using ray theory, we explore the effect an envelope function has on high-frequency, small-scale internal wave propagation through a low-frequency, large-scale inertia wave. Two principal interactions, internal waves propagating through an infinite inertia wavetrain and through an enveloped inertia wave, are investigated. For the first interaction, the total frequency of the high-frequency wave is conserved but is not for the latter. This deviance is measured and results of waves propagating in the same direction show the interaction with an inertia wave envelope results in a higher probability

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10

Lee, Woo-Dong, Norimi Mizutani, and Dong-Soo Hur. "2-D Characteristics of Wave Deformation Due to Wave-Current Interactions with Density Currents in an Estuary." Water 12, no. 1 (2020): 183. http://dx.doi.org/10.3390/w12010183.

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In this study, numerical simulations were conducted in order to understand the role of wave-current interactions in wave deformation. The wave-current interaction mechanisms, wave reflection and energy loss due to currents, the effect of incident conditions on wave-current interactions, the advection-diffusion characteristics of saltwater, and the effect of density currents on wave-current interactions were discussed. In addition, the effect of saltwater–freshwater density on wave-current interactions was investigated under a hypopycnal flow field via numerical model testing. Turbulence was st

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11

Li, Zhisong, Kirti Ghia, Ye Li, Zhun Fan, and Lian Shen. "Unsteady Reynolds-averaged Navier–Stokes investigation of free surface wave impact on tidal turbine wake." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 477, no. 2246 (2021): 20200703. http://dx.doi.org/10.1098/rspa.2020.0703.

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Tidal current is a promising renewable energy source. Previous studies have investigated the influence of surface waves on tidal turbines in many aspects. However, the turbine wake development in a surface wave environment, which is crucial for power extraction in a turbine array, remains elusive. In this study, we focus on the wake evolution behind a single turbine and its interaction with surface waves. A numerical solver is developed to study the effects of surface waves on an industrial-size turbine. A case without surface wave and two cases with waves and different rotor depths are invest

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12

Didenkulova, Ekaterina, Efim Pelinovsky, and Marcelo V. Flamarion. "Bipolar Solitary Wave Interactions within the Schamel Equation." Mathematics 11, no. 22 (2023): 4649. http://dx.doi.org/10.3390/math11224649.

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Pair soliton interactions play a significant role in the dynamics of soliton turbulence. The interaction of solitons with different polarities is particularly crucial in the context of abnormally large wave formation, often referred to as freak or rogue waves, as these interactions result in an increase in the maximum wave field. In this article, we investigate the features and properties of bipolar solitary wave interactions within the framework of the non-integrable Schamel equation, contrasting them with the integrable modified Korteweg-de Vries (mKdV) equation. We show that in bipolar soli

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13

Smith, Warren R. "Wave–structure interactions for the distensible tube wave energy converter." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 472, no. 2192 (2016): 20160160. http://dx.doi.org/10.1098/rspa.2016.0160.

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A comprehensive linear mathematical model is constructed to address the open problem of the radiated wave for the distensible tube wave energy converter. This device, full of sea water and located just below the surface of the sea, undergoes a complex interaction with the waves running along its length. The result is a bulge wave in the tube which, providing certain criteria are met, grows in amplitude and captures the wave energy through the power take-off mechanism. Successful optimization of the device means capturing the energy from a much larger width of the sea waves (capture width). To

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14

Zhao, W., P. H. Taylor, H. A. Wolgamot, and R. Eatock Taylor. "Amplification of random wave run-up on the front face of a box driven by tertiary wave interactions." Journal of Fluid Mechanics 869 (May 2, 2019): 706–25. http://dx.doi.org/10.1017/jfm.2019.229.

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Wave run-up phenomena driven by nonlinear wave interactions with a fixed rectangular box are investigated. Experiments are carried out in different types of uni-directional waves with normal incidence. Significant wave run-ups featuring tertiary interaction effects, similar to those reported by Molin et al. (J. Fluid Mech., vol. 528, 2005, pp. 323–354) for a fixed vertical plate, are observed in regular wave tests. Transient wave group tests are conducted for comparison, to facilitate the analysis of the tertiary interactions in irregular waves. The most striking observation is that the wave s

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15

Momynov, S. B., E. S. Mukhametkarimov, I. R. Gabitov, and A. E. Davletov. "Nonlinear wave interactions in modern photonics." Physical Sciences and Technology 2, no. 1 (2015): 30–36. http://dx.doi.org/10.26577/2409-6121-2015-2-1-30-36.

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16

JAVAM, A., J. IMBERGER, and S. W. ARMFIELD. "Numerical study of internal wave–wave interactions in a stratified fluid." Journal of Fluid Mechanics 415 (July 25, 2000): 65–87. http://dx.doi.org/10.1017/s0022112000008594.

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A finite volume method is used to study the generation, propagation and interaction of internal waves in a linearly stratified fluid. The internal waves were generated using single and multiple momentum sources. The full unsteady equations of motion were solved using a SIMPLE scheme on a non-staggered grid. An open boundary, based on the Sommerfield radiation condition, allowed waves to propagate through the computational boundaries with minimum reflection and distortion. For the case of a single momentum source, the effects of viscosity and nonlinearity on the generation and propagation of in

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17

Gonzalez-Santamaria, Raul, Qingping Zou, Shunqi Pan, and Roberto Padilla-Hernandez. "MODELLING WAVE-TIDE INTERACTIONS AT A WAVE FARM." Coastal Engineering Proceedings 1, no. 32 (2011): 34. http://dx.doi.org/10.9753/icce.v32.waves.34.

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The Wave Hub project will create the world’s largest wave farm off the coast of Cornwall, Southwest England. This study is to investigate wave and tide interactions, in particular their effects on bottom friction and sediment transport at the wave-farm coast. This is an ambitious project research which includes the use of a very complex numerical modelling system. The main question to answer is how waves, tidal currents and winds affect the bottom friction at the Wave Hub site and the near-shore zone, as well as their impact on the sediment transport. Results show that tidal elevation and tida

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18

Eden, Carsten, Manita Chouksey, and Dirk Olbers. "Mixed Rossby–Gravity Wave–Wave Interactions." Journal of Physical Oceanography 49, no. 1 (2019): 291–308. http://dx.doi.org/10.1175/jpo-d-18-0074.1.

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AbstractMixed triad wave–wave interactions between Rossby and gravity waves are analytically derived using the kinetic equation for models of different complexity. Two examples are considered: initially vanishing linear gravity wave energy in the presence of a fully developed Rossby wave field and the reversed case of initially vanishing linear Rossby wave energy in the presence of a realistic gravity wave field. The kinetic equation in both cases is numerically evaluated, for which energy is conserved within numerical precision. The results are validated by a corresponding ensemble of numeric

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19

Elsayed, Mohamed A. K. "Nonlinear Wave-Wave Interactions." Journal of Coastal Research 243 (May 2008): 798–803. http://dx.doi.org/10.2112/05-0445.1.

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20

Ram, Abhay K., Kyriakos Hizanidis, and Richard J. Temkin. "Current drive by high intensity, pulsed, electron cyclotron wave packets." EPJ Web of Conferences 203 (2019): 01009. http://dx.doi.org/10.1051/epjconf/201920301009.

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The nonlinear interaction of electrons with a high intensity, spatially localized, Gaussian, electro-magnetic wave packet, or beam, in the electron cyclotron range of frequencies is described by the relativistic Lorentz equation. There are two distinct sets of electrons that result from wave-particle interactions. One set of electrons is reﬂected by the ponderomotive force due to the spatial variation of the wave packet. The second set of electrons are energetic enough to traverse across the wave packet. Both sets of electrons can exchange energy and momentum with the wave packet. The trapping

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21

Ma, Shuyi, Guixian Zhang, Hongfeng Hou, and Lidong Wang. "Mutual Interactions of Lamb Waves in Nonlinear Elastic Plates." Metals 12, no. 12 (2022): 2175. http://dx.doi.org/10.3390/met12122175.

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The mutual interactions of Lamb waves in nonlinear elastic plates are studied in this article. Many researchers have investigated the interactions of Lamb wave modes at nonlinear higher harmonics. However, little is known about nonlinearity-driven Lamb modulations from two primary modes with different frequencies. In this study, the existence of symmetric or antisymmetric mode due to Lamb wave mutual interactions is firstly theoretically formulated. Then, an approach is proposed to evaluate the intensity of phase velocity matching for selecting primary modes. Finally, the characteristics of th

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22

Salim, M. N., M. N. M. Khairy, and T. Hayashi. "Effect of Oval Defect on Propagation of Fundamental Lamb Wave." Applied Mechanics and Materials 833 (April 2016): 49–58. http://dx.doi.org/10.4028/www.scientific.net/amm.833.49.

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Complicated Lamb wave propagation in structures can cause a misinterpretation in defect location and sizing during nondestructive inspections. A visualization of Lamb wave interactions with oval defects was carried out in our study to investigate the phenomenon of fundamental Lamb wave interaction around defect by using a reduced model of plate in ABAQUS. The visualized wave propagations with oval shape of through defects in plates demonstrated different patterns of wave interactions for the symmetric and anti-symmetric modes. The results also visualized the mode conversions around defects whi

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23

Grimshaw, R. "Resonant wave interactions near a critical level in a stratified shear flow." Journal of Fluid Mechanics 269 (June 25, 1994): 1–22. http://dx.doi.org/10.1017/s0022112094001461.

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Resonant interactions between internal gravity waves propagating in a stratified shear flow are considered for the case when the background density and shear flow vary slowly with respect to the waves. In Grimshaw (1988) triad resonances were considered, and interaction equations derived for the case when the resonance conditions are met only on certain space-time surfaces, being resonance sites. Here this analysis is extended to include higher-order resonances, with the aim of studying resonant wave interactions near a critical level. It is shown that a secondary resonant interaction between

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24

Krafft, C., and A. Volokitin. "Resonant three-wave interaction in the presence of suprathermal electron fluxes." Annales Geophysicae 22, no. 6 (2004): 2171–79. http://dx.doi.org/10.5194/angeo-22-2171-2004.

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Abstract. A theoretical and numerical model is presented which describes the nonlinear interaction of lower hybrid waves with a non-equilibrium electron distribution function in a magnetized plasma. The paper presents some relevant examples of numerical simulations which show the nonlinear evolution of a set of three waves interacting at various resonance velocities with a flux of electrons presenting some anisotropy in the parallel velocity distribution (suprathermal tail); in particular, the case when the interactions between the waves are neglected (for sufficiently small waves' amplitudes)

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25

KOMINIS, Y., and K. HIZANIDIS. "SOLITARY WAVE INTERACTIONS WITH CONTINUOUS WAVES." International Journal of Bifurcation and Chaos 16, no. 06 (2006): 1753–64. http://dx.doi.org/10.1142/s0218127406015659.

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Solitary wave propagation under interaction with continuous waves is studied in the context of the Nonlinear Schrödinger Equation. An analytical approach, based on the conserved quantities of the wave evolution, is used to study transverse velocity variations for the case of nonzero transverse wavenumber difference between the solitary and continuous waves. The method is applicable for any number of transverse dimensions and any kind of nonlinearity. Moreover, the presence of a coherent continuous background is shown to be responsible for the creation of solitary rings and spirals, under inter

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26

Vashchenko, V. I., and I. V. Zavislyak. "Three-wave interactions in magnetostatic waves." Radiophysics and Quantum Electronics 32, no. 1 (1989): 34–40. http://dx.doi.org/10.1007/bf01039045.

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27

WEBB, G. M., E. Kh KAGHASHVILI, and G. P. ZANK. "Magnetohydrodynamic wave mixing in shear flows: Hamiltonian equations and wave action." Journal of Plasma Physics 73, no. 1 (2007): 15–68. http://dx.doi.org/10.1017/s0022377806004399.

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Abstract.Magnetohydrodynamic wave interactions in a linear shear flow are investigated using the Lagrangian fluid displacement ξ and entropy perturbation Δ S, in which a spatial Fourier solution is obtained in the frame of the background shear flow (Kelvin's method). The equations reduce to three coupled oscillator equations, with time-dependent coefficients and with source terms proportional to the entropy perturbation. In the absence of entropy perturbations, the system admits a wave action conservation integral consisting of positive and negative energy waves. Variational and Hamiltonian fo

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28

Hsiao, Shih-Chun, Han-Lun Wu, and Wei-Bo Chen. "Study of the Optimal Grid Resolution and Effect of Wave–Wave Interaction during Simulation of Extreme Waves Induced by Three Ensuing Typhoons." Journal of Marine Science and Engineering 11, no. 3 (2023): 653. http://dx.doi.org/10.3390/jmse11030653.

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Three typhoons, Meranti, Malakas, and Megi, occurred successively in eastern Taiwanese waters in September 2016, causing extreme waves (significant wave height > 10.0 m), and these events were selected to investigate the effect of model grid resolution and wave–wave interaction on simulating typhoon-driven waves. The WAVEWATCH III (WW3) model, with 0.50 deg, 0.25 deg, 0.20 deg, 0.10 deg, and 0.05 deg grid resolutions, and two reanalysis wind fields were adopted to simulate ocean waves during these three typhoons. The results indicated that the exertion of the Climate Forecast System version

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29

Shih, Ruey Syan. "Numerical Study of the Characteristics of Wave-Wave Interactions in Multiphase Wave Field Near Coastal Area." Advanced Materials Research 255-260 (May 2011): 2313–17. http://dx.doi.org/10.4028/www.scientific.net/amr.255-260.2313.

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Numerical investigations of multiphase irregular wave field are presented by using the BEM, which incorporates the interaction between incoming wave and reflected wave in the coastal area. This study discusses the case of multi-component wave generation using the 2D-NWT, which incorporates the wave-wave interactions between various conditions of incoming waves and high frequency reflected waves, including the variation of wave field and particle trajectory. The surf beats in the surf zone is mainly the cause of the cross-shore motion, and the generations of high frequency harmonics waves, thes

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Ge, Z., and P. C. Liu. "Long-term wave growth and its linear and nonlinear interactions with wind fluctuations." Annales Geophysicae 26, no. 4 (2008): 747–58. http://dx.doi.org/10.5194/angeo-26-747-2008.

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Abstract. Following Ge and Liu (2007), the simultaneously recorded time series of wave elevation and wind velocity are examined for long-term (on Lavrenov's τ4-scale or 3 to 6 h) linear and nonlinear interactions between the wind fluctuations and the wave field. Over such long times the detected interaction patterns should reveal general characteristics for the wave growth process. The time series are divided into three episodes, each approximately 1.33 h long, to represent three sequential stages of wave growth. The classic Fourier-domain spectral and bispectral analyses are used to identify

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Tavakoli, Sasan, Luofeng Huang, Fatemeh Azhari, and Alexander V. Babanin. "Viscoelastic Wave–Ice Interactions: A Computational Fluid–Solid Dynamic Approach." Journal of Marine Science and Engineering 10, no. 9 (2022): 1220. http://dx.doi.org/10.3390/jmse10091220.

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A computational fluid–solid dynamic model is employed to simulate the interaction between water waves and a consolidated ice cover. The model solves the Navier–Stokes equations for the ocean-wave flow around a solid body, and the solid behavior is formalized by the Maxwell viscoelastic model. Model predictions are compared against experimental flume tests of waves interacting with viscoelastic plates. The decay rate and wave dispersion predicted by the model are shown to be in good agreement with experimental results. Furthermore, the model is scaled, by simulating the wave interaction with an

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Yu, Kangning, Shuo Li, and Guodong Li. "Riemann Problem and Elementary Wave Interactions for a Simplified Magnetic Fluid Model." Symmetry 16, no. 11 (2024): 1425. http://dx.doi.org/10.3390/sym16111425.

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In the present paper, we mainly studied the Riemann problem and wave interaction of a simplified magnetohydrodynamic equation system. Due to the complex Riemann problem and wave interactions in the magnetohydrodynamic equations, most previous studies either did not investigate the interaction of elementary waves or, if they did, lacked supporting numerical experiments. This paper simplifies the magnetohydrodynamic equations using variable substitution. Using the characteristic line method to solve the Riemann problem and elementary wave interaction of the simplified magnetohydrodynamic equatio

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Mo, Dongxue, Jian Li, and Yijun Hou. "Assessing the Impact of Wave–Current Interactions on Storm Surges and Waves during Cold Air Outbreaks in the Northern East China Sea." Journal of Marine Science and Engineering 9, no. 8 (2021): 824. http://dx.doi.org/10.3390/jmse9080824.

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Storm surges and disastrous waves induced by cold air outbreaks, a type of severe weather system, often impact the coastal economic development. Using the Climate Forecast System Reanalysis wind product and the Coupled Ocean–Atmosphere–Wave–Sediment Transport model, we developed a coupled numerical model and applied it to examine the interaction between surface gravity waves and ocean currents during cold air outbreaks in two case studies in the northern East China Sea. The results revealed that wave–current interactions improved the simulation accuracy, especially the water level, as verified

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Yeoman, T. K., and D. M. Wright. "ULF waves with drift resonance and drift-bounce resonance energy sources as observed in artificially-induced HF radar backscatter." Annales Geophysicae 19, no. 2 (2001): 159–70. http://dx.doi.org/10.5194/angeo-19-159-2001.

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Abstract. HF radar backscatter which has been artificially-induced by a high power RF facility such as the EISCAT heater at Tromsø has been demonstrated to provide ionospheric electric field data of unprecedented temporal resolution and accuracy. Here such data are used to investigate ULF wave processes observed by the CUTLASS HF radars. Within a short period of time during a single four hour experiment three distinct wave types are observed with differing periods, and latitudinal and longitudinal phase evolution. Combining information from the three waves allows them to be divided into those

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Yuan, C., R. Grimshaw, E. Johnson, and Z. Wang. "Topographic effect on oblique internal wave–wave interactions." Journal of Fluid Mechanics 856 (September 28, 2018): 36–60. http://dx.doi.org/10.1017/jfm.2018.678.

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Based on a variable-coefficient Kadomtsev–Petviashvili (KP) equation, the topographic effect on the wave interactions between two oblique internal solitary waves is investigated. In the absence of rotation and background shear, the model set-up featuring idealised shoaling topography and continuous stratification is motivated by the large expanse of continental shelf in the South China Sea. When the bottom is flat, the evolution of an initial wave consisting of two branches of internal solitary waves can be categorised into six patterns depending on the respective amplitudes and the oblique an

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Luo, Qinghuan, and D. B. Melrose. "Induced Three-wave Interactions in Eclipsing Pulsars." Publications of the Astronomical Society of Australia 12, no. 1 (1995): 71–75. http://dx.doi.org/10.1017/s1323358000020063.

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AbstractThree-wave interactions involving two high-frequency waves (in the same mode) and a low-frequency wave are discussed and applied to pulsar eclipses. When the magnetic field is taken into account, the low-frequency waves can be the ω-mode (the low-frequency branch of the ordinary mode) or the z-mode (the low-frequency branch of the extraordinary mode). It is shown that in the cold plasma approximation, effective growth of the low-frequency waves due to an anisotropic photon beam can occur only for z-mode waves near the resonance frequency. In the application to pulsar eclipses, the cold

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Osborne, A. R. "Shallow water cnoidal wave interactions." Nonlinear Processes in Geophysics 1, no. 4 (1994): 241–51. http://dx.doi.org/10.5194/npg-1-241-1994.

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Abstract. The nonlinear dynamics of cnoidal waves, within the context of the general N-cnoidal wave solutions of the periodic Korteweg-de Vries (KdV) and Kadomtsev-Petvishvilli (KP) equations, are considered. These equations are important for describing the propagation of small-but-finite amplitude waves in shallow water; the solutions to KdV are unidirectional while those of KP are directionally spread. Herein solutions are constructed from the 0-function representation of their appropriate inverse scattering transform formulations. To this end a general theorem is employed in the constructio

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Tobisch, Elena, and Alexey Kartashov. "Energy Spectra of Ensemble of Nonlinear Capillary Waves on a Fluid." Journal of Marine Science and Engineering 9, no. 12 (2021): 1422. http://dx.doi.org/10.3390/jmse9121422.

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The problem of spectral description of the nonlinear capillary waves on the fluid surface is discussed. Usually, three-wave nonlinear interactions are considered as a major factor determined by the energy spectrum of these waves in the kinetic wave turbulent regime. We demonstrate that four-wave interactions should be taken into account. In this case, there are two possible scenarios for the transfer of energy over the wave spectrum: kinetic and dynamic. The first is described by the averaged stochastic interaction of waves using the kinetic equation, while the second is described by dynamic e

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Dedović, Nebojša. "Approximation of the Interactions of Rarefaction Waves by the Wave Front Tracking Method." Mathematics 12, no. 13 (2024): 2099. http://dx.doi.org/10.3390/math12132099.

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The interaction of two simple delta shock waves for a pressureless gas dynamic system is considered. The result of the interaction is a delta shock wave with constant speed. This interaction is approximated by letting the perturbed parameter in the Euler equations for isentropic fluids go to zero. Each delta shock wave is approximated by two shock waves of the first and second family when the perturbed parameter goes to zero. These shock waves are solutions of two Riemann problems at time t=0. The solution of the Riemann problem for t>0 can also contain rarefaction waves. If the perturbed p

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Simaciu, Ion, Gheorghe Dumitrescu, Zoltan Borsos, and Mariana Brădac. "Interactions in an Acoustic World: Dumb Hole." Advances in High Energy Physics 2018 (2018): 1–6. http://dx.doi.org/10.1155/2018/7265362.

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The present paper aims to complete an earlier paper where the acoustic world was introduced. This is accomplished by analyzing the interactions which occur between the inhomogeneities of the acoustic medium, which are induced by the acoustic vibrations travelling in the medium. When a wave packet travels in a medium, the medium becomes inhomogeneous. The spherical wave packet behaves like an acoustic spherical lens for the acoustic plane waves. According to the principle of causality, there is an interaction between the wave and plane wave packet. In specific conditions, the wave packet behave

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Onorato, Miguel, Lara Vozella, Davide Proment та Yuri V. Lvov. "Route to thermalization in the α-Fermi–Pasta–Ulam system". Proceedings of the National Academy of Sciences 112, № 14 (2015): 4208–13. http://dx.doi.org/10.1073/pnas.1404397112.

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We study the original α-Fermi–Pasta–Ulam (FPU) system with N = 16, 32, and 64 masses connected by a nonlinear quadratic spring. Our approach is based on resonant wave–wave interaction theory; i.e., we assume that, in the weakly nonlinear regime (the one in which Fermi was originally interested), the large time dynamics is ruled by exact resonances. After a detailed analysis of the α-FPU equation of motion, we find that the first nontrivial resonances correspond to six-wave interactions. Those are precisely the interactions responsible for the thermalization of the energy in the spectrum. We pr

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Ciri, Umberto. "Large-eddy simulation study on wave-wake interactions past an offshore wind turbine." Journal of Physics: Conference Series 2767, no. 5 (2024): 052038. http://dx.doi.org/10.1088/1742-6596/2767/5/052038.

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Abstract Large-eddy simulations (LES) of the flow past an offshore wind turbine under different underlying wave fields have been performed. A one-way coupling between the air and water flows has been realized through a hybrid immersed-boundary/level-set method. The velocity in the water domain is forced with the potential flow solution, while the response of the atmospheric boundary layer to the changes in the sea-surface height (tracked by the level-set equation) is simulated with a LES approach coupled to a rotating actuator disk model to mimic the effect of the wind turbine. A parametric st

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LIU, YUMING, and DICK K. P. YUE. "On generalized Bragg scattering of surface waves by bottom ripples." Journal of Fluid Mechanics 356 (February 10, 1998): 297–326. http://dx.doi.org/10.1017/s0022112097007969.

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We study the generalized Bragg scattering of surface waves over a wavy bottom. We consider the problem in the general context of nonlinear wave–wave interactions, and write down and provide geometric constructions for the Bragg resonance conditions for second-order triad (class I) and third-order quartet (class II and class III) wave– bottom interactions. Class I resonance involving one bottom and two surface wave components is classical. Class II resonance manifests bottom nonlinearity (it involves two bottom and two surface wave components), and has been studied in the laboratory. Class III

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Verao Fernandez, Gael, Vasiliki Stratigaki, Panagiotis Vasarmidis, Philip Balitsky, and Peter Troch. "Wake Effect Assessment in Long- and Short-Crested Seas of Heaving-Point Absorber and Oscillating Wave Surge WEC Arrays." Water 11, no. 6 (2019): 1126. http://dx.doi.org/10.3390/w11061126.

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In the recent years, the potential impact of wave energy converter (WEC) arrays on the surrounding wave field has been studied using both phase-averaging and phase-resolving wave propagation models. Obtaining understanding of this impact is important because it may affect other users in the sea or on the coastline. However, in these models a parametrization of the WEC power absorption is often adopted. This may lead to an overestimation or underestimation of the overall WEC array power absorption, and thus to an unrealistic estimation of the potential WEC array impact. WEC array power absorpti

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Bruhn, B. "Ionization waves: Hopf–Hopf bifurcations and nonlinear wave-wave interactions." Physics of Plasmas 11, no. 9 (2004): 4446–55. http://dx.doi.org/10.1063/1.1782551.

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Moreira, R. M., and D. H. Peregrine. "Nonlinear interactions between deep-water waves and currents." Journal of Fluid Mechanics 691 (December 6, 2011): 1–25. http://dx.doi.org/10.1017/jfm.2011.436.

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AbstractThe effects of nonlinearity on a train of linear water waves in deep water interacting with underlying currents are investigated numerically via a boundary-integral method. The current is assumed to be two-dimensional and stationary, being induced by a distribution of singularities located beneath the free surface, which impose sharp and gentle surface velocity gradients. For ‘slowly’ varying currents, the fully nonlinear results confirm that opposing currents induce wave steepening and breaking within the region where a high convergence of rays occurs. For ‘rapidly’ varying currents,

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Williamson, C. H. K., and A. Prasad. "Acoustic forcing of oblique wave resonance in the far wake." Journal of Fluid Mechanics 256 (November 1993): 315–41. http://dx.doi.org/10.1017/s0022112093002800.

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In this paper, we investigate to what extent the far-wake ‘signature’ of the near-wake vortex dynamics of a nominally two-dimensional bluff body is affected by the character of the free-stream noise. We confirm the existence of an oblique wave resonance (at frequency, fK–fT), which is caused by nonlinear ‘quadratic’ interactions between primary oblique shedding waves (fK) and secondary two-dimensional waves (fT), which are amplified from free-stream disturbances. In this work, oblique wave resonance is induced by acoustic forcing of two-dimensional waves. The use of acoustic forcing reveals a

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Campbell, Bryce K., and Yuming Liu. "Nonlinear resonant interactions of interfacial waves in horizontal stratified channel flows." Journal of Fluid Mechanics 717 (February 1, 2013): 612–42. http://dx.doi.org/10.1017/jfm.2012.598.

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AbstractWe consider the problem of nonlinear resonant interactions of interfacial waves with the presence of a linear interfacial instability in an inviscid two-fluid stratified flow through a horizontal channel. The resonant triad consists of a (linearly) unstable wave and two stable waves, one of which has a wavelength that can be much longer than that of the unstable component. Of special interest is the development of the long wave by energy transfer from the base flow due to the coupled effect of nonlinear resonance and interfacial instability. By use of the method of multiple scales, we

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Shao, Xinyuan, Jonas W. Ringsberg, Hua-Dong Yao, Uday Rajdeep Sakleshpur Lokesh Gowda, Hrishikesh Nitin Khedkar, and Jørgen Hals Todalshaug. "Hydrodynamic Interactions and Enhanced Energy Harnessing amongst Many WEC Units in Large-Size Wave Parks." Journal of Marine Science and Engineering 12, no. 5 (2024): 730. http://dx.doi.org/10.3390/jmse12050730.

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Interactions between wave energy converters (WECs) can significantly affect the overall energy-harnessing performance of a wave park. Although large-size wave parks with many WEC units are commonly considered in practical applications, it is challenging to simulate such parks due to huge computational costs. This paper presents a numerical model that uses the boundary element method (BEM) to simulate wave parks. Each wave energy converter (WEC) was modelled as a comprehensive system, including WEC buoys, power take-off, and mooring systems, with hydrodynamic interactions included. Two classica

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Artemyev, Anton V., Jay M. Albert, Anatoli I. Neishtadt, and Didier Mourenas. "The effect of wave frequency drift on the electron nonlinear resonant interaction with whistler-mode waves." Physics of Plasmas 30, no. 1 (2023): 012901. http://dx.doi.org/10.1063/5.0131297.

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Electron resonant interaction with electromagnetic whistler-mode waves plays a crucial role for electron flux dynamics in planetary magnetospheres. One of the most intense types of whistler-mode waves consists of chorus waves generated via nonlinear resonant interaction with hot anisotropic electrons and propagating with time-varying (drifting) wave frequency. Electron nonlinear resonant interactions with such waves in a dipole magnetic field are well described analytically within the Hamiltonian approach under the approximation of monochromatic waves (of constant frequency). This paper aims t

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