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1

Ponce de León, Sonia, and C. Guedes Soares. "Numerical Modelling of the Effects of the Gulf Stream on the Wave Characteristics." Journal of Marine Science and Engineering 9, no. 1 (2021): 42. http://dx.doi.org/10.3390/jmse9010042.

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The influence of the Gulf Stream on the wind wave characteristics is investigated. Wave–current interaction inside the current field can result in significant inhomogeneities of the wave field that change the wave spectrum and wave statistics. This study relies on regional realistic simulations using high resolution in time, space and in the spectral space that allow to solve small scale features of the order of 5 km. Wave model simulations are performed with and without ocean currents to understand the impact of the Gulf Stream. Modelled wave spectra are examined along the main axis of the Gu
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2

Akrish, Gal, Pieter Smit, Marcel Zijlema, and Ad Reniers. "MODELLING WAVE INTERFERENCE PATTERNS USING THE SWAN MODEL." Coastal Engineering Proceedings, no. 36 (December 30, 2018): 42. http://dx.doi.org/10.9753/icce.v36.waves.42.

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This study presents an efficient approach of resolving wave interference patterns in spectral wave models (e.g., SWAN). Such interference patterns, which frequently occur in coastal waters (e.g., near headlands, harbor entrances and coastal inlets), may lead to rapid changes in wave statistics, and thus, can affect wave-driven flow and transport processes. Therefore, prediction of wave conditions for coastal applications should account for these effects. Presently, operational wave models compute the mean wave properties by solving the action balance equation, which describes the transport of
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Wang, Weizhi, Arun Kamath, and Hans Bihs. "IRREGULAR WAVE MODELLING WITH CFD IN SULAFJORD FOR THE E39 PROJECT." Coastal Engineering Proceedings, no. 36 (December 30, 2018): 45. http://dx.doi.org/10.9753/icce.v36.waves.45.

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The E39 project aims at building a continuous ferry-free coastal highway along the west coast of Norway. Sulafjord is one of the fjords where ferries are to be replaced with floating bridges or floating tunnels. The floating structures demand accurate and realistic numerical simulations of the wave propagation and transformation in the fjords. The Norwegian coastline is characterized by dramatic water depth changes and deep water conditions. The coastal water also contains both swells and local wind-generated waves. These conditions, along with series of islands outside the fjords and very irr
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Babanin, A. V., T. W. Hsu, A. Roland, S. H. Ou, D. J. Doong, and C. C. Kao. "Spectral wave modelling of Typhoon Krosa." Natural Hazards and Earth System Sciences 11, no. 2 (2011): 501–11. http://dx.doi.org/10.5194/nhess-11-501-2011.

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Abstract. This paper presents modelling the wave conditions in Typhoon Krosa prior to touching Taiwan in October 2007, with third-generation wave models of SWAN and WWM. The accuracy of the extreme wave measurement Hmax = 32 m with significant wave height Hs ≈ 24 m at the depth of h = 38 m is discussed first. It is concluded that the measurement does not appear faulty and is physically realistic. The numerical results are then analysed in order to examine the models' capability to reproduce the observed conditions. It is found that neither SWAN nor WWMII are able to hindcast the extreme measur
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5

Folley, M., and T. Whittaker. "Spectral modelling of wave energy converters." Coastal Engineering 57, no. 10 (2010): 892–97. http://dx.doi.org/10.1016/j.coastaleng.2010.05.007.

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6

Akrish, Gal, Ad Reniers, Marcel Zijlema, and Pieter Smit. "SPECTRAL MODELLING OF COASTAL WAVES USING QUADWAVE1D." Coastal Engineering Proceedings, no. 38 (May 29, 2025): 45. https://doi.org/10.9753/icce.v38.waves.45.

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QuadWave1D is a fully dispersive and weakly nonlinear model for coastal wave prediction in one dimension. This model is based on the quadratic modelling approach (often referred to as frequency-domain models, weakly nonlinear mild-slope models, amplitude models, etc.), allowing efficient wave predication over large spatial domains. The efficiency of this approach stems from a significant modelling reduction of the original governing equations (e.g., Euler equations). Most significantly, the description of wave nonlinearity essentially collapses into a single mode coupling term determined by th
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Saprykina, Yana, Burak Aydogan, and Berna Ayat. "MODELLING OF SPILLING AND PLUNGING BREAKING WAVES IN SPECTRAL MODELS." Coastal Engineering Proceedings, no. 37 (September 1, 2023): 15. http://dx.doi.org/10.9753/icce.v37.papers.15.

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Based on the data of field experiments and modeling was revealed that the dissipation of the energy of the high-frequency part of the wave spectrum due to wave breaking should compensate the nonlinear growth of higher wave harmonics, which occurs in different ways both for waves breaking with different types and for different methods of modeling a nonlinear source term. The effect of the dissipative term type used on the estimates of sediment transport is discussed.
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8

Conde, J. M. P., R. Reis, C. J. Fortes, and D. R. C. B. Neves. "WAVE PROPAGATION ON A FLUME: PHYSICAL MODELLING." Revista de Engenharia Térmica 11, no. 1-2 (2012): 22. http://dx.doi.org/10.5380/reterm.v11i1-2.61994.

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The knowledge of wave transformation and breaking characteristics near coastline is essential for the nearshore hydrodynamics and the design of coastal structures. This paper describes a wide range of wave flume tests performed at the National Laboratory for Civil Engineering (LNEC), located in Lisbon (Portugal), which main objective was to study wave shoaling and breaking over a set of different gentle slopes for several incident waves and thus to contribute for a better understand of the hydrodynamics of wave transformation.The experimental conditions, the measurement equipment, the incident
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9

Kudela, Pawel, and Wiesław M. Ostachowicz. "Wave Propagation Modelling in Composite Plates." Applied Mechanics and Materials 9 (October 2007): 89–104. http://dx.doi.org/10.4028/www.scientific.net/amm.9.89.

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The paper presents results of numerical simulation for transverse elastic waves corresponding to A0 mode of Lamb waves propagating in a composite plate. This problem is solved by using the Spectral Finite Element Method. Spectral plate elements with 36 nodes defined at Gauss-Lobatto-Legendre points are used. As a consequence of selecting Lagrange polynomials discrete orthogonality guaranteed leading to a diagonal mass matrix. This results in a crucial reduction of numerical operations required for a chosen time integration scheme. Numerical calculations have been carried out for various orient
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10

Wright, D. M., T. K. Yeoman, L. J. Baddeley, et al. "High resolution observations of spectral width features associatedwith ULF wave signatures in artificial HF radar backscatter." Annales Geophysicae 22, no. 1 (2004): 169–82. http://dx.doi.org/10.5194/angeo-22-169-2004.

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Abstract. The EISCAT high power heating facility at Tromsø, northern Norway, has been utilised to generate artificial radar backscatter in the fields of view of the CUTLASS HF radars. It has been demonstrated that this technique offers a means of making very accurate and high resolution observations of naturally occurring ULF waves. During such experiments, the usually narrow radar spectral widths associated with artificial irregularities increase at times when small scale-sized (high m-number) ULF waves are observed. Possible mechanisms by which these particle-driven high-m waves may modify t
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11

Van Dongeren, Ap, Andre Van der Westhuysen, Jacco Groeneweg, et al. "SPECTRAL WAVE MODELLING IN TIDAL INLET SEAS: RESULTS FROM THE SBW WADDEN SEA PROJECT." Coastal Engineering Proceedings 1, no. 32 (2011): 44. http://dx.doi.org/10.9753/icce.v32.waves.44.

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Over the last five years a research program has been carried out to assess the performance of the spectral wave model SWAN in the Wadden Sea so that it may be used for the transformation of offshore wave conditions to wave boundary conditions near the sea defenses (dikes and dunes). The assessment was done on the basis of extensive wave measurements conducted in Ameland inlet and the Dutch Eastern Wadden Sea, as well as relevant data from lakes and estuaries. After a first round of assessment, we found that SWAN performed reasonably well for storm conditions but three aspects required further
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12

Hennings, Bianca, and Rolf Lammering. "Modelling of Wave Propagation using Spectral Finite Elements." PAMM 10, no. 1 (2010): 7–10. http://dx.doi.org/10.1002/pamm.201010003.

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13

Suhr, Jacob, Prema Shree Bhautoo, Jarrod Harkin, and Timothy James Womersley. "EFFICIENTLY FORECASTING 2-DIMENSIONAL SPECTRA INSIDE SHELTERED PORTS USING SPECTRAL AND PHASE-RESOLVING WAVE MODELS." Coastal Engineering Proceedings, no. 37 (September 1, 2023): 31. http://dx.doi.org/10.9753/icce.v37.waves.31.

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Ports today are grappling with the impacts of increasing ship sizes and increasingly frequent and more extreme weather events. Under these conditions, being able to predict navigation, handling, and mooring risks accurately, is becoming more crucial to safe and efficient port operations. This is especially important in ports subject to complex wave transformations. Traditionally, in order to capture the various wave transformation processes accurately from offshore to nearshore areas, the coupling of a Spectral wave (SW) and Boussinesq wave (BW) model has been required. Unfortunately, the very
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14

Ridder, Menno Pieter de, Marlies van der Lugt, Dano Roelvink, and Maarten van Ormondt. "STRENGTH AND WEAKNESSES OF THREE APPROACHES TO FAST MODELLING OF THE SPECTRAL WAVE ACTION BALANCE." Coastal Engineering Proceedings, no. 38 (May 29, 2025): 75. https://doi.org/10.9753/icce.v38.waves.75.

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Wave models are essential for coastal engineering applications, because the (nearshore) wave conditions are required for the design of coastal structures, important drivers of coastal floodings and coastal erosion. Various spectral wave models exist to model the wave propagation, wind growth and energy transfer within a spectrum (Booij, et al. 1996, Günther, et al., 1992). These models have been improved over the last years (e.g. Rogers et al., 2015) and are able to accurately be applied for various applications. As a consequence the wave models became rather slower in terms of computational t
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15

Park, Sekil, and Jinah Park. "Realistic simulation of mixed sea using multiple spectrum-based wave systems." SIMULATION 96, no. 3 (2019): 281–96. http://dx.doi.org/10.1177/0037549719866504.

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The sea has a very wide, irregular, and continuously changing surface and is usually a mixed sea composed of several wave systems. Each wave system is generated from different locations and conditions and has its own characteristics. The Fourier domain approach using sea wave spectra is an effective technique for the realistic simulation of sea surfaces in real time, but the conventional Fourier domain approach cannot independently simulate the characteristics of each wave system. In this paper, we propose a realistic and real-time simulation method of the mixed sea using multiple spectrum-bas
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16

Schulte, Rolf T., Ke Jia Xing, and Claus Peter Fritzen. "Spectral Element Modelling of Wave Propagation and Impedance Based SHM Systems." Key Engineering Materials 413-414 (June 2009): 683–90. http://dx.doi.org/10.4028/www.scientific.net/kem.413-414.683.

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In recent years many SHM approaches based on elastic waves that are generated and sensed by surface-bonded piezoelectric patches have been developed. Some of those utilize wave propagation phenomena; others use changes in the electromechanical impedance to detect structural damage. The capability of most approaches strongly depends on adequate choice of SHM system parameters like excitation signals and actuator/sensor types and positions. For this reason there is a growing interest in efficient and accurate simulation tools to shorten time and cost of the necessary tedious pretests. To detect
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17

Grabowska, Joanna, and Marek Krawczuk. "Identification of Discontinuities in Composite Rods and Beams Based on Lamb Wave Propagation." Key Engineering Materials 293-294 (September 2005): 517–24. http://dx.doi.org/10.4028/www.scientific.net/kem.293-294.517.

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The article presents a method of damage identification in composite rods and beams based on the analysis of changes in Lamb wave propagation. For modelling of the problem the spectral element method is used. Spectral elements of rod and beam suitable for modelling the composites are employed. In the presented paper the following discontinuities are analysed: the fatigue open and not propagating crack, changes in the cross-section area, material discontinuities, various fibres volume and angle. The influence of discontinuities on the Lamb wave propagation processes is analysed.
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18

Van der Westhuysen, Andre Jaco. "IMPROVED MODELLING OF WAVE-CURRENT INTERACTION IN SWAN." Coastal Engineering Proceedings 1, no. 32 (2011): 45. http://dx.doi.org/10.9753/icce.v32.waves.45.

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Recent hindcast studies in the Amelander Zeegat tidal inlet in the Dutch Wadden Sea have shown the significant influence of currents on the prediction of wave fields by the spectral wave model SWAN. In following current, observations are typically well reproduced, but under strong opposing current, wave heights are significantly overestimated. Ris and Holthuijsen (1996) propose that such overestimations are due to insufficient steepness dissipation of waves on an opposing current gradient. The present paper presents a new formulation for the enhanced dissipation of waves on a counter current g
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19

Holthuijsen, Leo H., and Nico Booij. "A GRID MODEL FOR SHALLOW WATER WAVES." Coastal Engineering Proceedings 1, no. 20 (1986): 20. http://dx.doi.org/10.9753/icce.v20.20.

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Waves in coastal regions can be affected by the bottom, by currents and by the local wind. The traditional approach in numerical modelling of these waves is to compute the wave propagation with so-called wave rays for mono-chromatic waves (one constant period and one deep water direction) and to supplement this with computations of bottom dissipation. This approach has two important disadvantages. Firstly, spectral computations, e.g. to determine a varying mean wave period or varying shortcrestedness, would be rather inefficient in this approach. Secondly, interpretation of the results of the
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20

Leijnse, Tim, Ap van Dongeren, Maarten van Ormondt, Jeroen Aerts, Sanne Muis, and Dano Roelvink. "LARGE-SCALE INFRAGRAVITY WAVE-RESOLVING FLOOD HAZARD MODELLING." Coastal Engineering Proceedings, no. 38 (May 29, 2025): 13. https://doi.org/10.9753/icce.v38.waves.13.

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Coastal communities worldwide are under threat of flooding due to hazards such as (extra-) tropical storms, spring tides, wind sea and swell waves, high river discharges and heavy rainfall events (Mousavi et al., 2011). In some coastal areas, waves can be the dominant driver of extreme water levels (e.g. Parker et al., 2023), but for regional to continental scales these are often not included in coastal flooding assessments, due to the high computational expense of numerical models (e.g. XBeach; Roelvink et al., 2009). Recent literature has shown that it is possible to model large coastlines i
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21

Oleinik, Phelype Haron, Gabriel Pereira Tavares, Bianca Neves Machado, and Liércio André Isoldi. "Transformation of Water Wave Spectra into Time Series of Surface Elevation." Earth 2, no. 4 (2021): 997–1005. http://dx.doi.org/10.3390/earth2040059.

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Spectral wave modelling is widely used to simulate large-scale wind–wave processes due to its low computation cost and relatively simpler formulation, in comparison to phase-resolving or hydrodynamic models. However, some applications require a time-domain representation of sea waves. This article proposes a methodology to transform the wave spectrum into a time series of water surface elevation for applications that require a time-domain representation of ocean waves. The proposed method uses a generated phase spectrum and the inverse Fourier transform to turn the wave spectrum into a time se
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22

Bolaños, Rodolfo, Lars Boye Hansen, Mikkel Lydholm Rasmussen, Maziar Golestani, Jesper Sandvig Mariegaard, and Lisbeth Tangaa Nielsen. "COASTAL BATHYMETRY FROM SATELLITE AND ITS USE ON COASTAL MODELLING." Coastal Engineering Proceedings, no. 36 (December 30, 2018): 98. http://dx.doi.org/10.9753/icce.v36.papers.98.

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Offshore wind farms around the world are being developed with the objective of increasing the contribution of renewable energy to the global energy consumption. Bathymetric features at the wind farm sites have a strong influence on waves and currents, controlling the propagation and dissipation of flows during normal and extreme conditions. In this work we use a state-of-the-art cost-effective method for bathymetric mapping based on high resolution satellite images to characterize a coastal wind farm region and assess the added value of such data when performing wave modelling. The study area
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23

Dommermuth, Douglas G., and Dick K. P. Yue. "A high-order spectral method for the study of nonlinear gravity waves." Journal of Fluid Mechanics 184 (November 1987): 267–88. http://dx.doi.org/10.1017/s002211208700288x.

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We develop a robust numerical method for modelling nonlinear gravity waves which is based on the Zakharov equation/mode-coupling idea but is generalized to include interactions up to an arbitrary order M in wave steepness. A large number (N = O(1000)) of free wave modes are typically used whose amplitude evolutions are determined through a pseudospectral treatment of the nonlinear free-surface conditions. The computational effort is directly proportional to N and M, and the convergence with N and M is exponentially fast for waves up to approximately 80% of Stokes limiting steepness (ka ∼ 0.35)
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Wright, C. J., S. M. Osprey, and J. C. Gille. "Global distributions of overlapping gravity waves in HIRDLS data." Atmospheric Chemistry and Physics Discussions 15, no. 4 (2015): 4333–82. http://dx.doi.org/10.5194/acpd-15-4333-2015.

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Abstract. Data from the HIRDLS instrument on NASA's Aura satellite are used to investigate the relative numerical variability of observed gravity wave packets as a function of both horizontal and vertical wavenumber, with support from the SABER instrument on TIMED. We see that these distributions are dominated by small vertical and large horizontal wavenumbers, and have a similar spectral form at all heights and latitudes, albeit with important differences. By dividing our observed wavenumber distribution into particular subspecies of wave, we demonstrate that these distributions exhibit signi
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25

Majid Al-Rammahi, Ayaat, and Abdul-Hassan K. Al-Shukur. "Numerical Simulation of Hydrodynamic and Spectral Model of Iraqi Coastal Water at the Northern Arabian Gulf." CFD Letters 17, no. 9 (2025): 194–211. https://doi.org/10.37934/cfdl.17.9.194211.

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Coastal areas are experiencing an increase in human population and activities. This change in coastal areas necessitates their safety and reliability to prevent the risk of human lives and economic values being compromised. The Iraqi coast is considered one of these areas that is considered vulnerable because of its low elevation related to mean sea level. The Because of their gentle slope and low elevation, storm events have the potential to inundate it. Therefore, it becomes imperative to study the hydrodynamic processes and their impact on the coast using numerical models. Many numerical mo
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Wright, C. J., S. M. Osprey, and J. C. Gille. "Global distributions of overlapping gravity waves in HIRDLS data." Atmospheric Chemistry and Physics 15, no. 14 (2015): 8459–77. http://dx.doi.org/10.5194/acp-15-8459-2015.

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Abstract. Data from the High Resolution Dynamics Limb Sounder (HIRDLS) instrument on NASA's Aura satellite are used to investigate the relative numerical variability of observed gravity wave packets as a function of both horizontal and vertical wavenumber, with support from the Sounding of the Atmosphere using Broadband Emission Radiometry (SABER) instrument on TIMED. We see that these distributions are dominated by large vertical and small horizontal wavenumbers, and have a similar spectral form at all heights and latitudes, albeit with important differences. By dividing our observed wavenumb
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27

Gogin, Aleksandr G., and Izmail G. Kantarzhi. "Numerical simulation of sea-wave diffraction with random phases on breakwaters." Vestnik MGSU, no. 4 (April 2023): 615–26. http://dx.doi.org/10.22227/1997-0935.2023.4.615-626.

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Introduction. Numerical simulation of sea gravity waves interaction with seaport barriers using modern numerical wave models is considered. The predictive power of some commonly used models is examined in relation to the diffraction of sea waves with a random phase in comparison with known analytical methods and experimental data.
 
 Materials and methods. Numerical simulation is carried out using modern numerical wave models implemented in the DHI MIKE 21 software package. A spectral wave model with a function for correcting wave diffraction in shallow water and a phase-resolving wa
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28

Herterich, James G., and Frédéric Dias. "Extreme long waves over a varying bathymetry." Journal of Fluid Mechanics 878 (September 17, 2019): 481–501. http://dx.doi.org/10.1017/jfm.2019.618.

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Recent modelling work has shown that abrupt bathymetric transitions can produce dramatic amplifications of long waves, under the influence of both nonlinearity and dispersion. Here, the evolution of wave packets towards a vertical wall over a varying bathymetry is investigated with a one-dimensional conformal-mapping spectral code. In this system, wave breaking, runup and reflection, wave interference and bathymetric effects are highlighted. Wave breaking is examined with respect to geometric, kinematic and energetic conditions, with consistent results. The breaking strength is characterized f
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Zeng, Huahui, Yanxiang Wang, Yang Zhou, Huijie Meng, Qigang Zhou, and Baozhong Jin. "Accurate Pseudo-Spectral Acoustic Wave Modelling with Time Dispersion Elimination." Applied Sciences 14, no. 19 (2024): 8725. http://dx.doi.org/10.3390/app14198725.

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We propose an accurate method for modeling acoustic wave propagation. The spatial derivatives are calculated using Fourier transform to reduce spatial numerical dispersion. The standard staggered grid is adopted to suppress the non-causal ringing artifacts as in the traditional pseudo-spectral method. Moreover, to eliminate time dispersion arising from the discretization of the time derivative, an additional time-dispersion elimination term is introduced. As a result, the present method not only retains the advantages of the conventional pseudo-spectral method such as coarser spatial sampling
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Jonathan, Philip, Jan Flynn, and Kevin Ewans. "Joint modelling of wave spectral parameters for extreme sea states." Ocean Engineering 37, no. 11-12 (2010): 1070–80. http://dx.doi.org/10.1016/j.oceaneng.2010.04.004.

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31

Solov'ev, Yu P. "Modelling of the spectral characteristics of the wind wave envelope." Soviet Journal of Physical Oceanography 1, no. 3 (1990): 193–201. http://dx.doi.org/10.1007/bf02196872.

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Kudela, P., M. Krawczuk, and W. Ostachowicz. "Wave propagation modelling in 1D structures using spectral finite elements." Journal of Sound and Vibration 300, no. 1-2 (2007): 88–100. http://dx.doi.org/10.1016/j.jsv.2006.07.031.

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van Eeden, Frans, Georgios Klonaris, Jeffrey Verbeurgt, Peter Troch, and Alain De Wulf. "Sensitivities in Wind Driven Spectral Wave Modelling for the Belgian Coast." Journal of Marine Science and Engineering 10, no. 8 (2022): 1138. http://dx.doi.org/10.3390/jmse10081138.

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This paper presents the analysis of spectral wind-wave modelling (using SWAN) of the North Sea focusing on the modelled wave parameters along the Belgian coast. Two wind databases were used to drive the model: ECMWF-ERA5 reanalysis and the Dutch Offshore Wind Atlas. The models were calibrated with measured data at various stations along the Belgian coastline. The accuracy in terms of wave parameter statistics was compared for the calibrated and uncalibrated models. It was found that a calibrated SWAN model does, in general, produce more accurate results when compared to measured data for stati
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Wang, Ying, and Hong Hao. "Modelling of Guided Wave Propagation with Spectral Element: Application in Structural Engineering." Applied Mechanics and Materials 553 (May 2014): 687–92. http://dx.doi.org/10.4028/www.scientific.net/amm.553.687.

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Among many structural health monitoring (SHM) methods, guided wave (GW) based method has been found as an effective and efficient way to detect incipient damages. In comparison with other widely used SHM methods, it can propagate in a relatively long range and be sensitive to small damages. Proper use of this technique requires good knowledge of the effects of damage on the wave characteristics. This needs accurate and computationally efficient modeling of guide wave propagation in structures. A number of different numerical computational techniques have been developed for the analysis of wave
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35

Brown, Michael G. "Directional wave spectrum evolution modelling of ship noise." Journal of the Acoustical Society of America 155, no. 3_Supplement (2024): A56. http://dx.doi.org/10.1121/10.0026784.

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A new underwater acoustic propagation model that is well suited to modelling ship noise is described. The model describes the spatio-temporal evolution of the directional energy spectrum of a sound field. The governing equation can be thought of as an advection-diffusion equation for spectral energy in phase space (position, angle). Numerical simulations of sound fields excited by both isotropic compact sources and by highly anisotropic ship noise provide confidence that the model works well, with caveats that will be discussed. [Work supported by ONR.]
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Nose, Takehiko, Takuji Waseda, Tsubasa Kodaira, and Jun Inoue. "Satellite-retrieved sea ice concentration uncertainty and its effect on modelling wave evolution in marginal ice zones." Cryosphere 14, no. 6 (2020): 2029–52. http://dx.doi.org/10.5194/tc-14-2029-2020.

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Abstract. Ocean surface waves are known to decay when they interact with sea ice. Wave–ice models implemented in a spectral wave model, e.g. WAVEWATCH III® (WW3), derive the attenuation coefficient based on several different model ice types, i.e. how the model treats sea ice. In the marginal ice zone (MIZ) with sea ice concentration (SIC) < 1, the wave attenuation is moderated by SIC: we show that subgrid-scale processes relating to the SIC and sea ice type heterogeneity in the wave–ice models are missing and the accuracy of SIC plays an important role in the predictability. Satellite-retri
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LI, XUELONG, ZHONGHUI LI, ENYUAN WANG, et al. "PATTERN RECOGNITION OF MINE MICROSEISMIC AND BLASTING EVENTS BASED ON WAVE FRACTAL FEATURES." Fractals 26, no. 03 (2018): 1850029. http://dx.doi.org/10.1142/s0218348x18500299.

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A microseismic (MS) monitoring system in a mine can monitor the MS signals generated by coal rock rupture and blasting waves and can distinguish the two types of waves more clearly to monitor and analyze the rupture and evolution process of coal rock. According to the nonlinearity characteristics of the waveform, the fractal characteristics of a mine’s MS and blasting waves are analyzed by simple fractal and multifractal theory, and the simple fractal dimension [Formula: see text] and multifractal parameters are obtained, respectively. Results show that the simple fractal dimension [Formula: s
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Ponti, Cristina, Massimo Santarsiero, and Giuseppe Schettini. "Time-Domain Electromagnetic Scattering by Buried Dielectric Objects with the Cylindrical-Wave Approach for GPR Modelling." Electronics 9, no. 3 (2020): 421. http://dx.doi.org/10.3390/electronics9030421.

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Electromagnetic modelling of ground penetrating radar applications to the survey of buried targets is a fundamental step in the interpretation of measured data from experimental campaigns. When pulsed source fields are employed, such a modelling is commonly performed through time-domain numerical techniques. The cylindrical wave approach is proposed here to solve the scattering of a pulsed field by circular cross-section cylinders buried in a semi-infinite medium. The field radiated field by a transmitting antenna is modelled using a line-current source. Theoretical solution is developed on a
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Annenkov, Sergei, and Victor Shrira. "Modelling the Impact of Squall on Wind Waves with the Generalized Kinetic Equation." Journal of Physical Oceanography 45, no. 3 (2015): 807–12. http://dx.doi.org/10.1175/jpo-d-14-0182.1.

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AbstractThis is a first study of short-lived transient sea states, arising from fast variations of wind fields. This study considers the response of a wind-wave field to a sharp increase of wind over a short time interval (a squall). Conventional wind-wave models based on the Hasselmann equation assume quasi stationarity of a random wave field and are a priori inapplicable for such transient states. To describe fast spectral changes, the authors use the generalized kinetic equation (GKE) derived without the quasi-stationarity assumption. A novel efficient highly parallelized algorithm for the
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FALCÓN, CLAUDIO, and STÉPHAN FAUVE. "LOCAL DYNAMICS OF DEFECTS IN PARAMETRICALLY EXCITED WAVES." International Journal of Bifurcation and Chaos 19, no. 10 (2009): 3553–59. http://dx.doi.org/10.1142/s0218127409024992.

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We present an experimental study on the local dynamics of parametrically excited waves at an air–water interface when defects are present in the wave pattern. The probability density function (PDF) of the local wave amplitude displays an exponential part for values close to the average amplitude and decreases sharply to zero for large amplitudes. The power spectral density (PSD) of the local amplitude fluctuations shows a power-law behavior over one decade which we relate to a regime of defect-mediated turbulence.
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Seriani, G. "3-D spectral element-by-element wave modelling on Cray T3E." Physics and Chemistry of the Earth, Part A: Solid Earth and Geodesy 24, no. 3 (1999): 241–45. http://dx.doi.org/10.1016/s1464-1895(99)00025-3.

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42

Schulte, R. T., and C. P. Fritzen. "Modelling of Wave-Based SHM Systems Using the Spectral Element Method." PAMM 10, no. 1 (2010): 15–18. http://dx.doi.org/10.1002/pamm.201010005.

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Gamba, Irene M., Leslie M. Smith, and Minh-Binh Tran. "On the wave turbulence theory for stratified flows in the ocean." Mathematical Models and Methods in Applied Sciences 30, no. 01 (2019): 105–37. http://dx.doi.org/10.1142/s0218202520500037.

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After the pioneering work of Garrett and Munk, the statistics of oceanic internal gravity waves has become a central subject of research in oceanography. The time evolution of the spectral energy of internal waves in the ocean can be described by a near-resonance wave turbulence equation, of quantum Boltzmann type. In this work, we provide the first rigorous mathematical study for the equation by showing the global existence and uniqueness of strong solutions.
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Ching, Dennis Ling Chuan, Zainal Abdul Aziz, and Faisal Salah. "Study of Polarized Wave with a Hydrodynamic Model and Fourier Spectral Method." Modelling and Simulation in Engineering 2013 (2013): 1–6. http://dx.doi.org/10.1155/2013/720590.

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The polarization effects in hydrodynamics are studied. Hydrodynamic equation for the nonlinear wave is used along with the polarized nonlinear waves and seismic waves act as initial waves. The model is then solved by Fourier spectral and Runge-Kutta 4 methods, and the surface plot is drawn. The output demonstrates the inundation behaviors. Consequently, the polarized seismic waves along with the polarized nonlinear waves tend to generate dissimilar inundation which is more disastrous.
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GAGNAIRE-RENOU, ELODIE, MICHEL BENOIT, and SERGEI I. BADULIN. "On weakly turbulent scaling of wind sea in simulations of fetch-limited growth." Journal of Fluid Mechanics 669 (January 5, 2011): 178–213. http://dx.doi.org/10.1017/s0022112010004921.

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Extensive numerical simulations of fetch-limited growth of wind-driven waves are analysed within two approaches: a ‘traditional’ wind-speed scaling first proposed by Kitaigorodskii (Bull. Acad. Sci. USSR, Geophys. Ser., Engl. Transl., vol. N1, 1962, p. 105) in the early 1960s and an alternative weakly turbulent scaling developed recently by Badulin et al. (J. Fluid Mech.591, 2007, 339–378). The latter one uses spectral fluxes of wave energy, momentum and action as physical scales of the problem and allows for advanced qualitative and quantitative analysis of wind-wave growth and features of ai
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Meylan, M. H., and L. G. Bennetts. "Three-dimensional time-domain scattering of waves in the marginal ice zone." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 376, no. 2129 (2018): 20170334. http://dx.doi.org/10.1098/rsta.2017.0334.

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Three-dimensional scattering of ocean surface waves in the marginal ice zone (MIZ) is determined in the time domain. The solution is found using spectral analysis of the linear operator for the Boltzmann equation. The method to calculate the scattering kernel that arises in the Boltzmann model from the single-floe solution is also presented along with new identities for the far-field scattering, which can be used to validate the single-floe solution. The spectrum of the operator is computed, and it is shown to have a universal structure under a special non-dimensionalization. This universal st
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van Ginkel, Janneke, Elmer Ruigrok, and Rien Herber. "Using horizontal-to-vertical spectral ratios to construct shear-wave velocity profiles." Solid Earth 11, no. 6 (2020): 2015–30. http://dx.doi.org/10.5194/se-11-2015-2020.

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Abstract. For seismic hazard assessment and earthquake hypocentre localization, detailed shear-wave velocity profiles are an important input parameter. Here, we present a method to construct a shear-wave velocity profiles for a deep unconsolidated sedimentary layer by using strong teleseismic phases and the ambient noise field. Gas extraction in the Groningen field, in the northern part of the Netherlands, is causing low-magnitude, induced seismic events. This region forms an excellent case study due to the presence of a permanent borehole network and detailed subsurface knowledge. Instead of
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Zhao, Baojun, and Jiaxin Wang. "Forced solitary wave and vorticity with topography effect in quasi-geostrophic modelling." Advances in Mechanical Engineering 15, no. 1 (2023): 168781322211402. http://dx.doi.org/10.1177/16878132221140212.

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A forced KdV equation including the special topography effect is derived to describe nonlinear long wave and solitary eddy based on the quasi-geostrophic potential vorticity model. We obtain the theoretical solution of the equation and the concrete form of stream function through perturbation theory and multi-scale analysis methods. It is found that the joint effect of weak shear basic flow and topography can change the cyclone and anticyclone structure of eddy, and in the meantime topographic structure affects the East-West propagation direction of solitary wave. Finally, according to the int
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Allen, James, Gregorio Iglesias, Deborah Greaves, and Jon Miles. "Physical Modelling of the Effect on the Wave Field of the WaveCat Wave Energy Converter." Journal of Marine Science and Engineering 9, no. 3 (2021): 309. http://dx.doi.org/10.3390/jmse9030309.

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The WaveCat is a moored Wave Energy Converter design which uses wave overtopping discharge into a variable v-shaped hull, to generate electricity through low head turbines. Physical model tests of WaveCat WEC were carried out to determine the device reflection, transmission, absorption and capture coefficients based on selected wave conditions. The model scale was 1:30, with hulls of 3 m in length, 0.4 m in height and a freeboard of 0.2 m. Wave gauges monitored the surface elevation at discrete points around the experimental area, and level sensors and flowmeters recorded the amount of water c
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Walters, S. J., L. K. Forbes, and A. M. Reading. "Analytic and numerical solutions to the seismic wave equation in continuous media." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476, no. 2243 (2020): 20200636. http://dx.doi.org/10.1098/rspa.2020.0636.

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This paper presents two approaches to mathematical modelling of a synthetic seismic pulse, and a comparison between them. First, a new analytical model is developed in two-dimensional Cartesian coordinates. Combined with an initial condition of sufficient symmetry, this provides a valuable check for the validity of the numerical method that follows. A particular initial condition is found which allows for a new closed-form solution. A numerical scheme is then presented which combines a spectral (Fourier) representation for displacement components and wave-speed parameters, a fourth-order Runge
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