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Artículos de revistas sobre el tema "Ocean waves – – Mathematical models"

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Publicado: 4 de junio de 2021

Última modificación: 1 de febrero de 2022

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1

Drzewiecki, Marcin. "The Propagation of the Waves in the CTO S.A. Towing Tank." Polish Maritime Research 25, s1 (May 1, 2018): 22–28. http://dx.doi.org/10.2478/pomr-2018-0018.

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Abstract The paper presents the results of research focused on the wave propagation in the CTO S.A. deepwater towing tank. In the scope of paper, the wavemaker transfer function was determined for regular waves, based on the Biésel Transfer Function and further for irregular waves, based on Hasselman model of nonlinear energy transfer. The phenomena: wave damping, wave breakdown and wave reflection, were measured, analyzed and mathematically modeled. Developed mathematical models allow to calculate the impact of mentioned phenomena on the wave propagation and furthermore to calculate the wave

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2

Królicka, Agnieszka. "State equations in the mathematical model of dynamic behaviour of multihull floating unit." Polish Maritime Research 17, no. 1 (January 1, 2010): 33–38. http://dx.doi.org/10.2478/v10012-010-0003-6.

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State equations in the mathematical model of dynamic behaviour of multihull floating unit This paper concerns dynamic behaviour of multihull floating unit of catamaran type exposed to excitations due to irregular sea waves. Dynamic analysis of multihull floating unit necessitates, in its initial stage, to determine physical model of the unit and next to assume an identified mathematical model. Correctly elaborated physical models should contain information on the basis of which a mathematical model could be built. Mathematical models describe mutual relations between crucial quantities which c

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3

Small, J., L. Shackleford, and G. Pavey. "Ocean feature models − their use and effectiveness in ocean acoustic forecasting." Annales Geophysicae 15, no. 1 (January 31, 1997): 101–12. http://dx.doi.org/10.1007/s00585-997-0101-7.

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Abstract. The aim of this paper is to test the effectiveness of feature models in ocean acoustic forecasting. Feature models are simple mathematical representations of the horizontal and vertical structures of ocean features (such as fronts and eddies), and have been used primarily for assimilating new observations into forecasts and for compressing data. In this paper we describe the results of experiments in which the models have been tested in acoustic terms in eddy and frontal environments in the Iceland Faeroes region. Propagation-loss values were obtained with a 2D parabolic-equation (PE

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4

Qiao, Fangli, Yeli Yuan, Jia Deng, Dejun Dai, and Zhenya Song. "Wave–turbulence interaction-induced vertical mixing and its effects in ocean and climate models." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 374, no. 2065 (April 13, 2016): 20150201. http://dx.doi.org/10.1098/rsta.2015.0201.

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Heated from above, the oceans are stably stratified. Therefore, the performance of general ocean circulation models and climate studies through coupled atmosphere–ocean models depends critically on vertical mixing of energy and momentum in the water column. Many of the traditional general circulation models are based on total kinetic energy (TKE), in which the roles of waves are averaged out. Although theoretical calculations suggest that waves could greatly enhance coexisting turbulence, no field measurements on turbulence have ever validated this mechanism directly. To address this problem,

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5

Liaw, C. Y. "Numerical Modeling and Subharmonic Bifurcations of a Compliant Cylinder Exposed to Waves." Journal of Offshore Mechanics and Arctic Engineering 111, no. 1 (February 1, 1989): 29–36. http://dx.doi.org/10.1115/1.3257135.

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The occurrence of subharmonic responses in compliant structures including nonlinear coupling between the wave force and the structural motion is studied using simplified models of a cylinder submerged in waves. In particular, the existence and sensitivity of subharmonics in the responses are evaluated by varying the mathematical model for wave force, the structure/wave frequency ratio, the drag coefficient and the wave height. It is concluded that subharmonic bifurcation of order 1/2 can be a common phenomenon in compliant structural systems, especially if the system has a low ratio of drag fo

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6

Wang, Gang, Hong-Quan Yu, and Jin-Hai Zheng. "EXPERIMENTAL STUDY OF GUIDED WAVES OVER THE OCEAN RIDGE." Coastal Engineering Proceedings, no. 36 (December 30, 2018): 54. http://dx.doi.org/10.9753/icce.v36.waves.54.

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Long waves can be trapped by oceanic ridges due to refraction effect, and such guided waves travel along the ridge and transfer their energy to rather long distance. The guided wave is constrained over the top of the ridge and propagates slower than the free long wave, which leads to the largest amplitude waves arriving later and duration of tsunami activity longer. The existence of trapping effect of ocean ridges has not only been demonstrated mathematically (Buchwald 1969; Zheng et al. 2016), but also been verified by the interpretation of tide-gauge data and numerical models on global tsuna

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7

Francescutto, Alberto, Gabriele Bulian, and Claudio Lugni. "The Sixth International Stability Workshop was held in October 2002." Marine Technology and SNAME News 41, no. 02 (April 1, 2004): 74–81. http://dx.doi.org/10.5957/mt1.2004.41.2.74.

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This paper addresses, starting from an extensive series of tests in longitudinal regular waves (already done) and irregular waves (in progress), the problems connected with the threshold formulation for parametric rolling and its amplitude modeling above threshold. Both head and following waves have been considered, also in view of the greater attention to head sea conditions called for during International Maritime Organisation Subcommittee on Stability and Load Lines, and on Fishing Vessels Safety (IMO/ SLF) discussion on the revision of the Intact Stability Code. Particular attention is giv

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8

Dahle, Emil Aall, and Dag Myrhaug. "Risk Analysis Applied to Capsize of Fishing Vessels." Marine Technology and SNAME News 32, no. 04 (October 1, 1995): 245–47. http://dx.doi.org/10.5957/mt1.1995.32.4.245.

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Although contributing only moderately to the total ship loss rate, capsize provides the dominating human loss rate contribution for the smaller vessel. This is of special concern for fishing vessels because their human loss rate is considered as unacceptable in many countries in the world. In the paper, it is suggested that a risk analysis method be applied to manage the risk of capsize. The analysis is derived in steps. First, dangerous wave events are selected; steep near-breaking waves above certain heights, synchronous waves, and high waves with the same speed as the ship are selected. Nex

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9

Pushkarev, A. N., and V. E. Zakharov. "SELF-SIMILAR AND LASER-LIKE REGIMES IN NUMERICAL MODELING OF HASSELMANN KINETIC EQUATION FOR OCEAN WAVES." XXII workshop of the Council of nonlinear dynamics of the Russian Academy of Sciences 47, no. 1 (April 30, 2019): 103–6. http://dx.doi.org/10.29006/1564-2291.jor-2019.47(1).31.

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The absence of mathematically justified criteria in the models of prediction of wind waves of the ocean, used by the world’s largest centers NOAA (USA) and ECMWF (UK), based on numerical modeling of the Hasselmann kinetic equation, led to erroneous hierarchy and erroneous nonlinear interaction approximation, wind forcing and waves dissipation terms due to wave-breaking. Existing models of wind waves operate in the paradigm of the adjustable «black box», each time requiring reconfiguration. On the basis of numerical simulation, we were able to construct a model, taking into account the wind for

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10

Veeresha, Pundikala, Haci Mehmet Baskonus, and Wei Gao. "Strong Interacting Internal Waves in Rotating Ocean: Novel Fractional Approach." Axioms 10, no. 2 (June 16, 2021): 123. http://dx.doi.org/10.3390/axioms10020123.

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The main objective of the present study is to analyze the nature and capture the corresponding consequences of the solution obtained for the Gardner–Ostrovsky equation with the help of the q-homotopy analysis transform technique (q-HATT). In the rotating ocean, the considered equations exemplify strong interacting internal waves. The fractional operator employed in the present study is used in order to illustrate its importance in generalizing the models associated with kernel singular. The fixed-point theorem and the Banach space are considered to present the existence and uniqueness within t

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11

di Martino, B., F. Flori, C. Giacomoni, and P. Orenga. "Mathematical and Numerical Analysis of a Tsunami Problem." Mathematical Models and Methods in Applied Sciences 13, no. 10 (October 2003): 1489–514. http://dx.doi.org/10.1142/s0218202503003008.

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In this paper, we present a tsunami model based on the displacement of the lithosphere and the mathematical and numerical analysis of this model. More precisely, we give an existence and uniqueness result for a problem which models the flow and formation of waves at the time of a submarine earthquake in the vicinity of the coast. We propose a model which describes the behavior of the fluid using a bi-dimensional shallow-water model by means of a depth-mean velocity formulation. The ocean is coupled to the Earth's crust whose movement is assumed to be controlled on a large scale by plate equati

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12

Sclavounos, Paul D. "Karhunen–Loeve representation of stochastic ocean waves." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 468, no. 2145 (May 9, 2012): 2574–94. http://dx.doi.org/10.1098/rspa.2012.0063.

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A new stochastic representation of a seastate is developed based on the Karhunen–Loeve spectral decomposition of stochastic signals and the use of Slepian prolate spheroidal wave functions with a tunable bandwidth parameter. The new representation allows the description of stochastic ocean waves in terms of a few independent sources of uncertainty when the traditional representation of a seastate in terms of Fourier series requires an order of magnitude more independent components. The new representation leads to parsimonious stochastic models of the ambient wave kinematics and of the nonlinea

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13

Pierson, Willard J., and Azed Jean-Pierre. "Monte Carlo Simulations of Nonlinear Ocean Wave Records with Implications for Models of Breaking Waves." Journal of Ship Research 43, no. 02 (June 1, 1999): 121–34. http://dx.doi.org/10.5957/jsr.1999.43.2.121.

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A Monte Carlo method for simulating nonlinear ocean wave records as a function of time is described. It is based on a family of probability density functions developed by Karl Pearson and requires additional knowledge of the dimensionless moments of a postulated nonlinear wave record, which are the skewness and kurtosis. A frequency spectrum is used to simulate a linear record. It is then transformed to a nonlinear record for the chosen values of the skewness and kurtosis. The result is not a perturbation expansion of the nonlinear equations that describe unbroken waves. It yields a simulated

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14

Lin, Ray-Qing, Weijia Kuang, and Arthur M. Reed. "Numerical Modeling of Nonlinear Interactions Between Ships and Surface Gravity Waves, Part 1: Ship Waves in Calm Water." Journal of Ship Research 49, no. 01 (March 1, 2005): 1–11. http://dx.doi.org/10.5957/jsr.2005.49.1.1.

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This paper presents a pseudo-spectral model for nonlinear ship-surface wave interactions. The algorithm used in the model is a combination of spectral and boundary element methods: the boundary element method is used to translate physical quantities between the nonuniform ship surface and the regular grid of the spectral representation; the spectral method is used throughout the remainder of the fluid domain. All possible wave-wave interactions are included in the model (up to N-wave interactions for the truncation order N of the spectral expansions). This paper focuses on the mathematical the

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15

Squire, Vernon A. "A fresh look at how ocean waves and sea ice interact." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 376, no. 2129 (August 20, 2018): 20170342. http://dx.doi.org/10.1098/rsta.2017.0342.

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Because of their capacity to alter floe size distribution and concentration and consequently to influence atmosphere-ocean fluxes, there is a compelling justification and demand to include waves in ice/ocean models and earth system models. Similarly, global wave forecasting models like WAVEWATCH III ® need better parametrizations to capture the effects of a sea ice cover such as the marginal ice zone on incoming wave energy. Most parametrizations of wave propagation in sea ice assume without question that the frequency-dependent attenuation which is observed to occur with distance x travelled

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16

Kundu, Anjan, Abhik Mukherjee, and Tapan Naskar. "Modelling rogue waves through exact dynamical lump soliton controlled by ocean currents." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 470, no. 2164 (April 8, 2014): 20130576. http://dx.doi.org/10.1098/rspa.2013.0576.

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Rogue waves are extraordinarily high and steep isolated waves, which appear suddenly in a calm sea and disappear equally fast. However, though the rogue waves are localized surface waves, their theoretical models and experimental observations are available mostly in one dimension, with the majority of them admitting only limited and fixed amplitude and modular inclination of the wave. We propose two dimensions, exactly solvable nonlinear Schrödinger (NLS) equation derivable from the basic hydrodynamic equations and endowed with integrable structures. The proposed two-dimensional equation exhib

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17

van den Bremer, T. S., and Ø. Breivik. "Stokes drift." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 376, no. 2111 (December 11, 2017): 20170104. http://dx.doi.org/10.1098/rsta.2017.0104.

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During its periodic motion, a particle floating at the free surface of a water wave experiences a net drift velocity in the direction of wave propagation, known as the Stokes drift (Stokes 1847 Trans. Camb. Philos. Soc. 8 , 441–455). More generally, the Stokes drift velocity is the difference between the average Lagrangian flow velocity of a fluid parcel and the average Eulerian flow velocity of the fluid. This paper reviews progress in fundamental and applied research on the induced mean flow associated with surface gravity waves since the first description of the Stokes drift, now 170 years

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18

Avila, Deivis, Graciliano Nicolás Marichal, Ramón Quiza, and Felipe San Luis. "Prediction of Wave Energy Transformation Capability in Isolated Islands by Using the Monte Carlo Method." Journal of Marine Science and Engineering 9, no. 9 (September 7, 2021): 980. http://dx.doi.org/10.3390/jmse9090980.

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In this work, a mathematical computer simulation model is used to predict the possible energy generated from different Waves Energy Converters (WECs) in the Canary Islands. The Monte Carlo Method is the computer simulation model proposed to predict the generated energy. The Waves Energy Converter systems analyzed in the study were, the Aqua Buoy, Wave Dragon and Pelamis converters. The models were implemented and validated, with the dataset of Gran Canaria deep water buoy. This buoy belongs to a network of buoys belonging to Spain’s State Ports and they cover a dataset period of 22 years. The

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19

Wang, Benlong, and Hua Liu. "Space–time behaviour of magnetic anomalies induced by tsunami waves in open ocean." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 469, no. 2157 (September 8, 2013): 20130038. http://dx.doi.org/10.1098/rspa.2013.0038.

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The magnetic anomaly induced by an inhomogeneous velocity field under tsunami waves in open ocean is investigated. With asymptotical analysis, an explicit series solution of the kinematic dynamo problem is established for weak dispersive water waves. The magnetic field induced by typical tsunami models, including single wave and -wave, can be directly obtained using the proposed series solution. The characteristics of the magnetic field induced by two realistic tsunami events are investigated. By analysis, the magnetic magnitude induced by a 1 m high tsunami is estimated as of the order of 10

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20

LINTON, C. M. "Towards a three-dimensional model of wave–ice interaction in the marginal ice zone." Journal of Fluid Mechanics 662 (October 15, 2010): 1–4. http://dx.doi.org/10.1017/s0022112010004258.

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Over the past forty or so years, considerable advances have been made in our understanding of the effects of ocean waves on sea ice, and vice versa, with observations, experiments and theory all playing their part. Recent years have seen the development of ever more sophisticated mathematical models designed to represent the physics more accurately and incorporate new features. What is lacking is an approach to three-dimensional scattering for ice floes that is both accurate and efficient enough to be used as a component in a theory designed to model the passage of directional wave spectra thr

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21

Duran, Serbay, Asıf Yokuş, Hülya Durur, and Doğan Kaya. "Refraction simulation of internal solitary waves for the fractional Benjamin–Ono equation in fluid dynamics." Modern Physics Letters B 35, no. 26 (August 13, 2021): 2150363. http://dx.doi.org/10.1142/s0217984921503632.

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In this study, the modified [Formula: see text]-expansion method and modified sub-equation method have been successfully applied to the fractional Benjamin–Ono equation that models the internal solitary wave event in the ocean or atmosphere. With both analytical methods, dark soliton, singular soliton, mixed dark-singular soliton, trigonometric, rational, hyperbolic, complex hyperbolic, complex type traveling wave solutions have been produced. In these applications, we consider the conformable operator to which the chain rule is applied. Special values were given to the constants in the soluti

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22

Xu, Chuan-Xiu, Sheng-Chun Piao, Shi-E. Yang, Hai-Gang Zhang, and Li Li. "This Submission is for Special Issue on Underwater Acoustics: Perfectly Matched Layer Technique for Parabolic Equation Models in Ocean Acoustics." Journal of Computational Acoustics 25, no. 01 (March 2017): 1650021. http://dx.doi.org/10.1142/s0218396x16500211.

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In ocean waveguides, the ocean bottom is usually approximated as a half-space. Thus, there exist no reflection waves at the half-space bottom and condition of radiation at infinity should be satisfied. In numerical solutions like parabolic equation methods, the depth domain has to be truncated, which can generate reflection waves from the truncated ocean bottom. To reduce the effect of reflection waves and to simulate an unbounded ocean bottom accurately, an artificial absorbing layer (ABL) was used. As was demonstrated, an ABL meets well the demand of accuracy in sound field calculation. Howe

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23

Gibson, R. S., and C. Swan. "The evolution of large ocean waves: the role of local and rapid spectral changes." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 463, no. 2077 (July 25, 2006): 21–48. http://dx.doi.org/10.1098/rspa.2006.1729.

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This paper concerns the formation of large-focused or near-focused waves in both unidirectional and directional sea-states. When the crests of wave components of varying frequency superimpose at one point in space and time, a large, transient, focused wave can occur. These events are believed to be representative of the largest waves arising in a random sea and, as such, are of importance to the design of marine structures. The details of how such waves form also offer an explanation for the formation of the so-called freak or rogue waves in deep water. The physical mechanisms that govern the

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24

Ambrose, David M., Jerry L. Bona, and David P. Nicholls. "On ill-posedness of truncated series models for water waves." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 470, no. 2166 (June 8, 2014): 20130849. http://dx.doi.org/10.1098/rspa.2013.0849.

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The evolution of surface gravity waves on a large body of water, such as an ocean, is reasonably well approximated by the Euler system for ideal, free-surface flow under the influence of gravity. The well-posedness theory for initial-value problems for these equations, which has a long and distinguished history, reveals that solutions exist, are unique, and depend continuously upon initial data in various function–space contexts. This theory is subtle, and the design of stable, accurate, numerical schemes is likewise challenging. Depending upon the wave regime in question, there are many diffe

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25

Meng, Zhongliang, Yanjun Liu, Jian Qin, and Yun Chen. "Mathematical Modeling and Experimental Verification of a New Wave Energy Converter." Energies 14, no. 1 (December 31, 2020): 177. http://dx.doi.org/10.3390/en14010177.

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As traditional energy sources are increasingly depleting, ocean energy has become an emergent potential clean energy source. Wave energy, as an important part of ocean-derived energy, has been studied and utilized by coastal countries worldwide, which have developed various wave energy converters. In this paper, a new wave energy converter is designed, and water movement in fluid channels is analyzed. The results are, then, used to generate a mathematical model that simulates water movement. Based on this approach, the water movement state is analyzed, and a formula for calculating the natural

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26

Eidsmoen, H. "Optimum Control of a Floating Wave-Energy Converter With Restricted Amplitude." Journal of Offshore Mechanics and Arctic Engineering 118, no. 2 (May 1, 1996): 96–102. http://dx.doi.org/10.1115/1.2828829.

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In this paper, the use of optimal control techniques for improving the energy absorption by a wave-energy converter (WEC) is investigated. A mathematical model is developed for a floating body, which is exposed to an irregular incident wave, and is moving relative to a fixed reference. This model includes a control force from the power take-off and control machinery, and a friction force which restricts the oscillation amplitude. This force models end-stop devices, which are necessary to protect the machinery. An optimal control strategy is determined, based on variations of a Lagrange functio

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27

Kashiwagi, Masashi. "Hydrodynamic Study on Added Resistance Using Unsteady Wave Analysis." Journal of Ship Research 57, no. 04 (December 1, 2013): 220–40. http://dx.doi.org/10.5957/jsr.2013.57.4.220.

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It is known that the added resistance in waves can be computed from ship-generated unsteady waves through the unsteady wave analysis method. To investigate the effects of nonlinear ship-generated unsteady waves and bluntness of the ship geometry on the added resistance, measurements of unsteady waves, wave-induced ship motions, and added resistance were carried out using two different (blunt and slender) modified Wigley models. The ship-generated unsteady waves are also produced by the linear superposition using the waves measured for the diffraction and radiation problems and the complex ampl

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28

Torhaug, Rune, Steven R. Winterstein, and Arne Braathen. "Nonlinear Ship Loads: Stochastic Models for Extreme Response." Journal of Ship Research 42, no. 01 (March 1, 1998): 46–55. http://dx.doi.org/10.5957/jsr.1998.42.1.46.

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In this study we focus on stochastic analysis methods for selective simulations, and we consider the extreme midspan moment of a fast-moving ship subjected to random Gaussian waves. We concentrate on analysis within a stationary sea state and our purpose is to accurately estimate hourly maximum ship response (compared with the correct result per hour) within a sea state with as little computational resources as possible. We consider how the use of a limited number of short simulations with "critical wave episodes" (short wave segments which are likely candidates to produce extreme response in

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29

Oyejobi, Damilola O., Mohammed Jameel, Nor Hafizah Ramli Sulong, and Niaz B. Khan. "Investigation of tendon dynamics effects on tension leg platform response in random seas." Proceedings of the Institution of Mechanical Engineers, Part M: Journal of Engineering for the Maritime Environment 233, no. 4 (November 16, 2018): 1082–102. http://dx.doi.org/10.1177/1475090218811718.

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This study investigated tendon dynamics effects of tension leg platform models with tendons modelled by finite element spring and beam elements for uncoupled and coupled tension leg platform in random waves and current environment. The purpose of the study is to proffering numerical solution of single mathematical equation of motion for fully integrated-coupled tension leg platform floater with tendons model. Structural modelling of complete tension leg platform is achieved with the help of ABAQUS/Standard finite element tools which is incorporated with ABAQUS/Aqua module for the application o

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GRIGORIEVA, NATALIE S. "THE EFFECT OF OCEAN CURRENT ON SOUND PROPAGATION." Journal of Computational Acoustics 02, no. 04 (December 1994): 441–51. http://dx.doi.org/10.1142/s0218396x94000257.

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The effect of medium motion on sound propagation in the ocean is investigated. In a moving fluid, the sound propagation is described by a system of seven linear partial differential equations for seven unknown elements of a sound wave. These are the sound pressure, the particle oscillation velocity in a sound wave as well as the changes of medium density, its entropy, and concentration of the salt caused by passage of a sound wave. In the case of stratified moving medium, the point source field is represented in the form of a sum of quasinormal waves. If the ocean perturbed by a current is wea

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31

Ren, Yanwei, Huanhe Dong, Xinzhu Meng, and Hongwei Yang. "Research on Time-Space Fractional Model for Gravity Waves in Baroclinic Atmosphere." Mathematical Problems in Engineering 2018 (October 24, 2018): 1–14. http://dx.doi.org/10.1155/2018/1345346.

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The research of gravity solitary waves movement is of great significance to the study of ocean and atmosphere. Baroclinic atmosphere is a complex atmosphere, and it is closer to the real atmosphere. Thus, the study of gravity waves in complex atmosphere motion is becoming increasingly essential. Deriving fractional partial differential equation models to describe various waves in the atmosphere and ocean can open up a new window for us to understand the fluid movement more deeply. Generally, the time fractional equations are obtained to reflect the nonlinear waves and few space-time fractional

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32

Miyata, Hideaki, Makoto Kanai, Noriaki Yoshiyasu, and Yohichi Furuno. "Diffraction Waves About an Advancing Wedge Model in Deep Water." Journal of Ship Research 34, no. 02 (June 1, 1990): 105–22. http://dx.doi.org/10.5957/jsr.1990.34.2.105.

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The diffraction of regular waves by advancing wedge models is studied both experimentally and numerically. The nonlinear features of diffracted waves are visualized by wave pattern pictures and the formation is analyzed by the grid-projection method. The experimental observation indicates that the diffracted waves have a number of nonlinear characteristics similar to shock waves due to the interaction of incident waves with the advancing obstacle in the flow-field caused by the advancing motion. Bow waves of both oblique type and normal detached type are observed at remarkably lower Froude num

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33

Ahmed, Sadia, and Huseyin Arslan. "Analysis of Underwater Acoustic Communication Channels." Marine Technology Society Journal 47, no. 3 (May 1, 2013): 99–117. http://dx.doi.org/10.4031/mtsj.47.3.7.

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AbstractThe underwater acoustic communication (UAC) channel presents many difficulties such as high frequency, space, and time selectivity, frequency-dependent noise, and significant range and band limitation on transmission. Traditional UAC channel models that model such channels primarily include environmental models based on experimental data; models that are developed using mathematical equations such as wave equations, modal methods, and parabolic equations; and using statistical distributions. These methods/models are often limited in their coverage and accurate representations of every

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34

Zilman, Gregory. "Forces Exerted on a Hovercraft by a Moving Pressure Distribution: Robustness of Mathematical Models." Journal of Ship Research 50, no. 01 (March 1, 2006): 38–48. http://dx.doi.org/10.5957/jsr.2006.50.1.38.

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The wave resistance, side force, and yawing moment acting on a hovercraft moving on the free surface of a heavy fluid is studied. The hovercraft is represented by a distributed excess pressure. Various types of pressure and bounding contours are considered. The sensitivity of the results to numerous uncertainties in the problem's physical parameters is investigated. It is found that constant pressure over a rectangular region moving with an angle of drift results in peculiar side force values. Several robust mathematical models of a moving hovercraft are proposed and analyzed.

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35

Weymouth, Gabriel D., and Dick K. P. Yue. "Physics-Based Learning Models for Ship Hydrodynamics." Journal of Ship Research 57, no. 01 (March 1, 2013): 1–12. http://dx.doi.org/10.5957/jsr.2013.57.1.1.

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We present the concepts of physics-based learning models (PBLM) and their relevance and application to the field of ship hydrodynamics. The utility of physics-based learning is motivated by contrasting generic learning models for regression predictions, which do not presume any knowledge of the system other than the training data provided with methods such as semi-empirical models, which incorporate physical insights along with data-fitting. PBLM provides a framework wherein intermediate models, which capture (some) physical aspects of the problem, are incorporated into modern generic learning

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36

Åberg, Sofia. "Wave intensities and slopes in Lagrangian seas." Advances in Applied Probability 39, no. 4 (December 2007): 1020–35. http://dx.doi.org/10.1239/aap/1198177237.

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In many applications, such as remote sensing or wave slamming on ships and offshore structures, it is important to have a good model for wave slope. Today, most models are based on the assumption that the sea surface is well described by a Gaussian random field. However, since the Gaussian model does not capture several important features of real ocean waves, e.g. the asymmetry of crests and troughs, it may lead to unconservative safety estimates. An alternative is to use a stochastic Lagrangian wave model. Few studies have been carried out on the Lagrangian model; in particular, very little i

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37

Fürth, Mirjam, Mingyi Tan, Zhi-Min Chen, and Makoto Arai. "A Dissipative Green’s Function Approach to Modeling Gravity Waves behind Submerged Bodies." Journal of Ship Research 65, no. 01 (March 17, 2021): 72–85. http://dx.doi.org/10.5957/josr.08170054.

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Potential flow-based methods are common in early design stages because of their associated speed and relative simplicity. By separating the resistance components of a ship into viscous and wave resistance, an inviscid method such as potential flow can be used for wave resistance determination. However, gravity waves are affected by viscosity and decay with time and distance. It has, therefore, long been assumed that the inclusion of a damping parameter in potential flow would better model the wave resistance. This article presents a Kelvin-Neumann dissipative potential flow model. A Rayleigh d

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38

Jones, Alan F., and A. Hulme. "The Hydrodynamics of Water on Deck." Journal of Ship Research 31, no. 02 (June 1, 1987): 125–35. http://dx.doi.org/10.5957/jsr.1987.31.2.125.

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We consider the wave motion produced in a rolling water-filled tank, which models the hydrodynamics of water trapped on a ship's deck. The waves produced are seen to depend on the values of four dimensionless parameters. Discussion is given of the most physically relevant of the many possible parameter regimes. Solutions are found by a combination of asymptotic and numerical methods. It is shown that significant turning moments can be exerted on the vessel by the transient waves that are produced in the general case. Even larger effects are possible if the forcing frequency happens to lie clos

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39

Jefferys, E. R. "Nonlinear Marine Structures With Random Excitation." Journal of Offshore Mechanics and Arctic Engineering 110, no. 3 (August 1, 1988): 246–53. http://dx.doi.org/10.1115/1.3257058.

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Various important types of offshore structure contain significant nonlinearities or time-varying coefficients in their equations of motion. Well-known examples include tension leg platforms, free-hanging risers, single-buoy moorings, ships moored against fenders and vessels constrained by stiffening moorings. When subject to sinusoidal wave excitation, time domain mathematical models of these structures can display large subharmonic or chaotic motions. This paper shows that such behavior is often an artifact of the regularity of the excitation and is usually unlikely to present a significant p

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40

Lei, Y., S. X. Zhao, X. Y. Zheng, and W. Li. "Effects of Fish Nets on the Nonlinear Dynamic Performance of a Floating Offshore Wind Turbine Integrated with a Steel Fish Farming Cage." International Journal of Structural Stability and Dynamics 20, no. 03 (March 2020): 2050042. http://dx.doi.org/10.1142/s021945542050042x.

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This paper aims to study the effects of fish nets on the nonlinear dynamic performance of a floating offshore wind turbine integrated with a steel fish farming cage (FOWT-SFFC). Fully coupled aero-hydro-servo-elastic numerical models of FOWT-SFFC, with and without nets, are constructed to probe the nonlinear time-domain stochastic response. The first-order potential flow model with quadratic drag forces is employed to calculate the hydrodynamic loading on the foundation. The effects of nets on the damping ratios of 6 degree-of-freedom motions and on their displacement response amplitude operat

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41

Waniewski, T. A., C. E. Brennen, and F. Raichlen. "Bow Wave Dynamics." Journal of Ship Research 46, no. 01 (March 1, 2002): 1–15. http://dx.doi.org/10.5957/jsr.2002.46.1.1.

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Experimental studies of air entrainment by breaking waves are essential for advancing the understanding of these flows and creating valid models. The present study used experimental simulations of a ship bow wave to examine its dynamics and air entrainment processes. The simulated waves were created by a deflecting plate mounted at an angle in a supercritical free-surface flow in a flume. Measurements of the bow wave geometry at two scales and also for a bow wave created by a wedge in a towing tank are presented. Contact line and bow wave profile measurements from the different experiments are

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42

REEDER, D. BENJAMIN, LINUS Y. S. CHIU, and CHI-FANG CHEN. "EXPERIMENTAL EVIDENCE OF HORIZONTAL REFRACTION BY NONLINEAR INTERNAL WAVES OF ELEVATION IN SHALLOW WATER IN THE SOUTH CHINA SEA: 3D VERSUS Nx2D ACOUSTIC PROPAGATION MODELING." Journal of Computational Acoustics 18, no. 03 (September 2010): 267–78. http://dx.doi.org/10.1142/s0218396x10004176.

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A joint Taiwanese-U.S. field experiment was conducted in the South China Sea (SCS), entitled the South China Sea Oceanic Processes Experiment (Taiwan)/Non-Linear Internal Waves Initiative (US) (SCOPE/NLIWI), the ocean acoustics portion of which occurred during April 12–22, 2007. The acoustics objective was to quantify the temporal and spatial variability in acoustic propagation characteristics on the continental shelf in the presence of locally-generated and trans-basin nonlinear internal waves (NLIW). Broadband (400 Hz center frequency) m-sequence signals transmitted nearly continuously by a

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43

Liu, Wei-Qin, Luo-Nan Xiong, Guo-Wei Zhang, Meng Yang, Wei-Guo Wu, and Xue-Min Song. "Research on Hydroelastic Response of an FMRC Hexagon Enclosed Platform." Symmetry 13, no. 7 (June 22, 2021): 1110. http://dx.doi.org/10.3390/sym13071110.

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The numerical hydroelastic method is used to study the structural response of a hexagon enclosed platform (HEP) of flexible module rigid connector (FMRC) structure that can provide life accommodation, ship berthing and marine supply for ships sailing in the deep ocean. Six trapezoidal floating structures constitute the HEP structure so that it is a symmetrical very large floating structure (VLFS). The HEP has the characteristics of large area and small depth, so its hydroelastic response is significant. Therefore, this paper studies the structural responses of a hexagon enclosed platform of FM

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44

NAGEM, RAYMOND J., and DING LEE. "COUPLED 3D WAVE EQUATIONS WITH IRREGULAR FLUID-ELASTIC INTERFACE: THEORETICAL DEVELOPMENT." Journal of Computational Acoustics 10, no. 04 (December 2002): 421–44. http://dx.doi.org/10.1142/s0218396x02001656.

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A coupled three-dimensional fluid-elastic wave propagation mathematical model has been developed to handle environmental interactions in the ocean between a fluid medium and an elastic bottom. The existing model combines three-dimensional fluid and elastic wave propagation models with the incorporation of a set of horizontal fluid-elastic interface conditions. This paper extends the above model to consider an irregular fluid-elastic interface. The theoretical development of the irregular fluid-elastic interface equations is presented. Comparison of the fluid-elastic irregular interface to the

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45

Wei Yang, Hong, Min Guo, and Hailun He. "Conservation Laws of Space-Time Fractional mZK Equation for Rossby Solitary Waves with Complete Coriolis Force." International Journal of Nonlinear Sciences and Numerical Simulation 20, no. 1 (February 23, 2019): 17–32. http://dx.doi.org/10.1515/ijnsns-2018-0026.

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AbstractThe study of Rossby solitary waves are of great significance in physical oceanography, atmospheric physics, water conservancy project, military and communications engineering, etc. All the time, in the study of Rossby solitary waves, people have been focusing on integer order models. Recently, fractional calculus has become a new research hotspot, and it has opened a new door to research atmospheric and ocean. Thus, the fractional order model has the potential value in the study of Rossby solitary waves. In the present paper, according to the quasi-geostrophic potential vorticity equat

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46

Zhang, Jian, Yanjun Liu, Jingwen Liu, Tongtong He, and Yudong Xie. "Dynamic Characteristics of Magnetic Coupling in Horizontal Axis Wave Energy Device." Polish Maritime Research 24, s3 (November 27, 2017): 165–70. http://dx.doi.org/10.1515/pomr-2017-0119.

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Abstract To solve the dynamic response problems of magnetic coupling in the horizontal axis wave energy device, this has researched the dynamic characteristicsof magnetic coupling. The fitting formula about torque and angle of the magnetic coupling is obtained through experiments. The mathematical models of the magnetic coupling torque transmission are established. The steady state error of the magnetic coupling and the transfer function of the output angle are obtained. The analytical solution of the step response of the output angle in time domain is derived. The influence of the torsional r

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47

Goyal, Rushil, Kriti Singh, and Arkal Vittal Hegde. "Quarter Circular Breakwater: Prediction of Transmission Using Multiple Regression and Artificial Neural Network." Marine Technology Society Journal 48, no. 1 (January 1, 2014): 92–98. http://dx.doi.org/10.4031/mtsj.48.1.7.

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AbstractThe physical model study of coastal structures is a nonlinear process influenced by innumerable parameters. As a result of a lack of definite systems, intricacies, and high costs involved in the physical models, we need a simple mathematical tool to predict wave transmission through quarter circular breakwater (QBW). QBW is a state-of-the-art breakwater essentially based on the exploitation of the concepts of semicircular breakwater. This paper discusses the use of soft computing tools such as MATLAB-based multiple regression (MR) and artificial neural network (ANN) to predict the wave

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48

Łubiński, Jacek, and Henryk Olszewski. "Hybrid Finite Element Method Development for Offshore Structures’ Calculation with the Implementation of Industry Standards." Polish Maritime Research 26, no. 4 (December 1, 2019): 90–100. http://dx.doi.org/10.2478/pomr-2019-0070.

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Abstract In the design process of offshore steel structures, it is typical to employ commercial calculation codes in which simulation and evaluation of results are performed on the basis of the available standards (e.g. API, DNV, Lloyds). The modeling and solution rely on finite element methods and cover the simulation of the structure’s properties along with the influence of the marine environment – sea currents, wave and wind loading, as well as the influence of vibrations, buoyancy and accompanying mass of water. Both commercial and open source mathematical modeling software which is availa

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49

Mitchell, Neil C. "Aspects of marine geoscience: a review and thoughts on potential for observing active processes and progress through collaboration between the ocean sciences." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 370, no. 1980 (December 13, 2012): 5567–612. http://dx.doi.org/10.1098/rsta.2012.0395.

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Much progress has been made in the UK in characterizing the internal structures of major physiographic features in the oceans and in developing understanding of the geological processes that have created or shaped them. UK researchers have authored articles of high impact in all areas described here. In contrast to terrestrial geoscience, however, there have been few instrumented observations made of active processes by UK scientists. This is an area that could be developed over the next decades in the UK. Research on active processes has the potential ability to engage the wider public: Some

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50

Perrault, Douglas Edward. "Probability of Sea Condition for Ship Strength, Stability, and Motion Studies." Journal of Ship Research 65, no. 01 (March 17, 2021): 1–14. http://dx.doi.org/10.5957/josr.05190024.

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Modeling and simulation continues to be an important tool for determining the response of sea-going vessels to wind and waves. To provide appropriate forcing functions to the models, it is important to have environmental data of sufficient fidelity to facilitate an assessment of platform response, which is as accurate as possible within the practical constraints of time and resources. Fortunately, there are a variety of sources of good wave data, including the U.S. National Oceanic and Atmospheric Administration. This study examines the wave data in the context of simulation codes for assessin

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