Готові списки джерел за темами / Tidal currents Mathematical models

Добірка наукової літератури з теми "Tidal currents Mathematical models"

Автор: Grafiati
Опубліковано: 10 грудня 2022
Оновлено: 29 січня 2023

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Статті в журналах з теми "Tidal currents Mathematical models"

1

Yiew, Lucas J., and Allan R. Magee. "Deriving tidal currents from AIS data." Journal of Physics: Conference Series 2311, no. 1 (July 1, 2022): 012003. http://dx.doi.org/10.1088/1742-6596/2311/1/012003.

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Abstract In this study, a method is proposed to derive ocean surface current conditions using only information available through AIS – mainly speed over ground (SOG), course over ground (COG) and vessel heading. This method allows the mapping of current conditions over large areas, in doing so gives seafarers better awareness and advance warning of local environmental conditions. This also helps in route planning and management of voyage-related resources. In the proposed method, current speeds and directions are solved through a system of equations containing the resolved SOG, COG and heading of multiple ships. This method was tested using mathematical manoeuvring models, and then subsequently using AIS data collected from vessel traffic in the Western Singapore Straits. Current predictions using this method are validated against physics-based depth-averaged hydrodynamic models driven by astronomical tidal forcing.
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2

Li, Wei, and Zhenghua Su. "EFFECTS OF HYPERCONCENTRATION-RELATED DRAG REDUCTION ON TIDAL PROPAGATION IN THE QIANTANG ESTUARY." Coastal Engineering Proceedings, no. 36 (December 30, 2018): 70. http://dx.doi.org/10.9753/icce.v36.currents.70.

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The Qiantang Estuary (QE) in the east coast of China is famous for its hyperconcentrated tidal bore with the highest sediment concentration up to about 80 kg/m3 (Pan et al., 2013). Recent research for some European estuaries has indicated that hyperconcentrated environment may affect tidal propagation through hydraulic drag reduction, resulting in an enlarged tidal range and even a regime shift in the estuary (Winterwerp and Wang, 2013). However, this water-sediment interactions have not been considered in the tidal prediction of the Qiantang Estuary in the past. Instead, a bed roughness even smaller than that of glossy glass has often been used to fit the observed tidal data in the mathematical modelling. Therefore, the present study aims to reveal whether the hyperconcentration-related drag reduction can explain the mechanism of very small bed roughness in the Qiantang Estuary and to what extent it can affect the tidal propagation especially for the tidal range. First, an analytical model is used to predict the tidal range along the QE (from Wenyan to Ganpu stations) for different methods of bed friction. Then, mathematical modelling is conducted to shed light on the processes of tidal wave propagation for the corresponding approaches. The results of the two models are compared together with the field observations to further verify the ability of the analytical model and the significance of the effects of hyperconcentration-related drag reduction.
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3

Roberts, W., P. Le Hir, and R. J. S. Whitehouse. "Investigation using simple mathematical models of the effect of tidal currents and waves on the profile shape of intertidal mudflats." Continental Shelf Research 20, no. 10-11 (July 2000): 1079–97. http://dx.doi.org/10.1016/s0278-4343(00)00013-3.

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4

Yu, Feng, and Yong Yin. "Oil Spill Visualization Based on the Numeric Simulation of Tidal Current." International Journal of Virtual Reality 8, no. 2 (January 1, 2009): 71–74. http://dx.doi.org/10.20870/ijvr.2009.8.2.2727.

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This paper proposes an approach to implement the 3D visualization of oil spill based on tidal hydrodynamic model. It simulates tidal current of M2 component tide in Jiaozhou Bay. The simulation results conform to the tidal theory and probably conform to the flow measurement report of crude oil pier Phase III at Qingdao Harbor. Based on tidal current and eye-point related adaptive ocean surface mesh model, by analyzing the drift and diffusion mathematical models of oil spill on the sea, the dynamic visualization of drift and diffusion course of oil on the sea were implemented, the visualization result is satisfactory.
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5

Bailly du Bois, Pascal, Franck Dumas, Mehdi Morillon, Lucille Furgerot, Claire Voiseux, Emmanuel Poizot, Yann Méar, and Anne-Claire Bennis. "The Alderney Race: general hydrodynamic and particular features." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 378, no. 2178 (July 27, 2020): 20190492. http://dx.doi.org/10.1098/rsta.2019.0492.

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This study presents an overview of the main hydrodynamic features of the Alderney Race strait based on in situ measurements and two-dimensional hydrodynamic model simulations. The strait encompasses a large amplitude of tidal properties (tidal range and tidal wave propagation) and particularly strong currents exceeding 5 m s −1 with associated counter currents and gyres. Variations in depth, sea bottom roughness, coastal topography and current orientation around the La Hague Cape provide access to a large variety of original hydrodynamic regimes. Some are revealed as locations with a 0.4 m drop in the mean sea level associated with strong average currents. A resonance effect associated with the offshore currents can also be observed close to the coasts. The ‘St Martin whistle’ occurs in a bay whose gyre centre oscillates with a reversal of the measured current every 5–7 min. The Alderney Race represents a particular area of interest for coastal hydrodynamic studies. The available in situ measurement datasets are rich with recordings of: sea levels; acoustic Doppler current profiler current profiles; surface radar currents; waves; dye experiments; surface and in-depth dissolved tracer surveys. Combined with hydrodynamic models, the complexity of this area can be further understood and knowledge of the hydrodynamic process and forcing parameters can be refined, which can be applied to other coastal areas. This article is part of the theme issue ‘New insights on tidal dynamics and tidal energy harvesting in the Alderney Race’.
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6

Li, Wen Dan, and Meng Guo Li. "Suspension-Diffusion Mathematical Model Calculation for Wenzhou Shoal in Construction Period." Advanced Materials Research 1065-1069 (December 2014): 453–56. http://dx.doi.org/10.4028/www.scientific.net/amr.1065-1069.453.

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By means of natural condition and mathematical models of tidal flow and sediment, numerical study is carried out on suspension-diffusion in construction period after the reclamation project of Wenzhou shoal at Oujiang estuary in this paper. The main conclusions are: the suspension-diffusion is controlled by tidal current. The range of suspended sediment concentration more than 10mg/L is mostly in Wenzhou shoal area during filling sand construction, which is the continuous operation. Riprap construction is Instantaneous work; the range of scatter is limited.
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7

Dyke, P. P. G. "Water circulation in the Firth of Forth, Scotland." Proceedings of the Royal Society of Edinburgh. Section B. Biological Sciences 93, no. 3-4 (1987): 273–84. http://dx.doi.org/10.1017/s0269727000006734.

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SynopsisThe Firth of Forth, in terms of physical oceanography, is part of the North Sea. The general circulation pattern in the firth must be regarded as largely speculative. There have been insufficient measurements of insufficient quality, and what evidence exists leads to the view that what circulation there is, is sluggish and varies from season to season and from year to year.A description is given of the three principal mechanisms that contribute to circulation. Tides, due initially to astronomical forces, manifest themselves in the Firth of Forth through the rise and fall of the adjacent open sea. This rise and fall, periodic in mid ocean, is no longer strictly so in the firth and neither are the tidal currents. The wind-driven currents in the sea are influenced by the earth's rotation. In the Firth of Forth, some of this influence is retained. Naturally, wind-driven currents are larger near the surface. Finally, when water of different densities meets, overturning causes convection currents. All of these effects are present to some extent in the Firth of Forth. In addition, specific account has to be taken of complicated coastal and bottom topography and river outflow. Some attempt to bring together these effects and available measurements is made in this paper. Lastly, several theoretical models are proposed which account for the magnitudes and directions of the observed steady circulation. Mathematical details are given in appendices.
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8

Li, Xinghao, Lin Yang, Huatang Ren, Zhaowei Liu, and Zeyu Jia. "Analysis of the Invasion of Acetes into the Water Intake of the Daya Bay Nuclear Power Base." Water 14, no. 22 (November 17, 2022): 3741. http://dx.doi.org/10.3390/w14223741.

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The invasions of marine organisms into the intake of nuclear power plants threaten the normal operation of such plants. Most published numerical models assumed that marine organisms passively follow the current, but such models neglected their biological swimming ability. In this work, adopting a hydrodynamic mathematical model to replicate the flow around the Daya Bay nuclear power base, the invasion characteristics of Acetes were explored by considering the behavior of biological movement. A concept of biological residual current was introduced to describe biological movements that were dominated by both tidal current and biological swimming ability. The biological residual currents near the nuclear power plant were obtained for cases with different nocturnal migration periods (12 h, 13 h, 14 h, 15 h, and 16 h). Using the Lagrangian particle-tracking method, the primary invasion paths of Acetes were obtained, as well as the travel time of Acetes to the intake, based on the biological residual current along monitoring points. The results showed that the invading time for Acetes reaching the water intake of the nuclear power base was significantly decreased when biological migration behavior was considered. When the nocturnal active period was over 13 h, it took only 10 days for Acetes to enter the western waters of Daya Bay from the southwest of Da Lajia Island and then continue migrating to the water intake in the nuclear power base. When the nocturnal active period was less than 13 h, it took more than 20 days for Acetes to travel the same distance. The present work provides a new methodology for the simulation and prediction of the migration of marine organisms.
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9

Pani, Paolo, and Andrea Maselli. "Love in extrema ratio." International Journal of Modern Physics D 28, no. 14 (October 2019): 1944001. http://dx.doi.org/10.1142/s0218271819440012.

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The tidal deformability of a self-gravitating object leaves an imprint on the gravitational-wave signal of an inspiral which is paramount to measure the internal structure of the binary components. We unveil here a surprisingly unnoticed effect: in the extreme mass-ratio limit the tidal Love number of the central object (i.e. the quadrupole moment induced by the tidal field of its companion) affects the gravitational waveform at the leading order in the mass ratio. This effect acts as a magnifying glass for the tidal deformability of supermassive objects but was so far neglected, probably because the tidal Love numbers of a black hole (the most natural candidate for a compact supermassive object) are identically zero. We argue that extreme mass-ratio inspirals detectable by the future laser interferometric space antenna (LISA) mission might place constraints on the tidal Love numbers of the central object which are roughly eight orders of magnitude more stringent than current ones on neutron stars, potentially probing all models of black hole mimickers proposed so far.
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10

Li, Tilai, Xiangyu Gao, Xinzhou Zhang, and Yinshuang Wang. "IMPACT OF RUNOFF ON SALT INTRUSION OF YANGTZE ESTUARY." Coastal Engineering Proceedings 1, no. 32 (February 2, 2011): 49. http://dx.doi.org/10.9753/icce.v32.management.49.

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Based on one-dimensional and two-dimensional mathematical coupling models of tidal current and salinity from Datong to Yangtze estuary, the impacting scope of salt intrusion are calculated when the runoff of Datong from 4,500m3/s to 30,000m3/s, and the maximum and average value of salinity at each representative point of the estuary are given. When flow of Datong is less than 10,000 m3/s, if projects of water transfer, pumping and diversion are not taken into account at the lower reaches of Datong, the maximum salinity at the downstream reaches of Xuliujing and the average salinity at the downstream reaches of Baimaosha will exceed drinking water criteria.
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Дисертації з теми "Tidal currents Mathematical models"

1

Najafi, Hashem Saberi. "Modelling tides in the Persian Gulf using dynamic nesting /." Title page, table of contents and abstract only, 1997. http://web4.library.adelaide.edu.au/theses/09PH/09phn162.pdf.

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2

Coutis, Peter F. School of Mathematics UNSW. "Currents, coasts and cays : a study of tidal upwelling and island wakes." Awarded by:University of New South Wales. School of Mathematics, 2000. http://handle.unsw.edu.au/1959.4/18207.

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In this thesis, the phenomenon of flow-topography interaction is considered in the context of two dynamically distinct case studies. In the first study, tidally-driven upwelling is investigated usingfield data collected in Hydrographers Passage (20????S), a narrow, navigable channel in the dense outer reef matrix of the southern Great Barrier Reef, Australia. In the second study, island wake formations at Cato Island (155????32????E, 23????15????S) in the deep, Western Coral Sea are examined using a combination of field data and numerical experiments. The result of the Hydrographers Passage study are of considerable scientific interest since they apply to numerous smaller non-navigable reef-edge passages dotted throughout the southern Great Barrier Reef. Strong, semi-diurnal flood tides flowing through a gap in a distal patch reef system at the shelf break generate strong upwelling, providing a pulsed, semi-diurnal input of nutrients to the reefs offshore of the passage. If stable in the long term, this mechanism could have profound evolutionary implications for large reefal areas in the southern Great Barrier Reef. In the second study, two sets of field observations at Cato Island coincided with conditions of strong (~0.7m s-1), vertically sheared incident currents and weaker (~0.3m s-1), more variable incident flows. The combination of dynamically distinct flow regimes and a tall, steep-sided island penetrating oligotrophic surface waters provides a unique opportunity to investigate the impact of island wakes on hydrographic structure and biological enhancement. Field data indicate that flow disturbances downstream of Cato Island are likely to generate biological enhancement during conditions of eddy shedding and non-shedding wakes. A primitive equation numerical model configured on the basis of field observations faithfully reproduces the key features of both data sets; mechanisms responsible for producing these key features are proposed. Previous numerical studies of island wakes have concentrated primarily on eddy shedding flows. In this thesis, the sub-critical (non-shedding) flow scenario is also considered. It is demonstrated that particle retention in island wakes has a ????hair trigger???? characteristic controlled by incident flow speed. This observation leads to a new proposal to explain the long-standing recruitment problem of biological oceanography.
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3

Dunbar, Donald Stanley 1953. "A numerical model of stratified circulation in a shallow-silled inlet." Thesis, University of British Columbia, 1985. http://hdl.handle.net/2429/25571.

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A numerical model has been developed for the study of stratified tidal circulation in Indian Arm - a representative inlet on the southern coast of British Columbia. Equations for horizontal velocity, salt conservation, continuity, density (calculated as a linear function of salinity), and the hydrostatic approximation govern the dynamics. All equations have been laterally integrated under the assumption of negligible cross-inlet variability. The model is time dependent and includes nonlinear advective terms, horizontal and vertical turbulent diffusion of salt and momentum, and variations in width and depth. Provisions for surface wind stress and a flux of fresh water are also included, although neither was utilized in this study. An explicit finite difference scheme centred in both time and space was used to solve for the horizontal and vertical velocity components, salinity, and surface elevation on a staggered rectangular grid. A backward Euler scheme was used to suppress the computational mode. Tests using a semi-implicit scheme to solve the finite difference equations over realistic topography led to numerical instabilities at modest values of the time step - in spite of the unconditional stability criteria - suggesting that linear stability analysis may give misleading results for strongly nonlinear systems. Surface elevations calculated from tidal harmonic analysis and salinity timeseries derived from linearly interpolated CTD casts were prescribed at the open boundary. Initial and boundary conditions based on observations in Burrard Inlet and Indian Arm during the winter of 1974-75 were used to study the inlet's response to tidal forcing and to simulate the deep-water renewal that occurred during this period. Coefficients for the horizontal turbulent diffusion of momentum and salt were set equal to 10⁶ cm² s⁻¹. Reducing this value by a factor of two was found to have little impact on the solution. A further reduction to 10³ cm² s⁻¹ led to numerical instabilities under conditions of dense water inflow. The side friction term in the momentum balance was tuned to match calculated and observed dissipation rates in Burrard Inlet; leading to good agreement between the observed and calculated barotropic tide. Contour plots of tidal amplitudes and phases for model currents and salinities revealed a standing wave pattern for the K₁ and M₂ internal tides in Indian Arm; thus allowing for the possibility of resonance. A comparison of model results with vertical amplitude and phase profiles from harmonic analysis of Cyclesonde current meter timeseries at two locations in Indian Arm was consistent with this result. A least-squares fit was made of the vertical modal structure in the model to the complex tidal amplitudes. This led to calculations of the kinetic energy contained in each of the modes along the model inlet for the M₂ and K₁ constituents. Most of the energy was found to be contained in the barotropic and first baroclinic modes, with the latter dominating in the deep basin, and the former dominating near the sill. Second mode energy was significant for the K₁ constituent at some locations in Indian Arm. There are clear indications in the model of barotropic tidal energy being radiated into the inlet basin via the internal tide. Simulations of the influx of dense water into Indian Arm yielded exchange rates that are consistent with observed values and suggest the possibility of fine-tuning the model coefficients to allow prediction of future overturning events.
Science, Faculty of
Earth, Ocean and Atmospheric Sciences, Department of
Graduate
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4

Devlin, Adam Thomas. "On the variability of Pacific Ocean tides at seasonal to decadal time scales| Observed vs modelled." Thesis, Portland State University, 2016. http://pqdtopen.proquest.com/#viewpdf?dispub=10128376.

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Ocean tides worldwide have exhibited secular changes in the past century, simultaneous with a global secular rise in mean sea level (MSL). The combination of these two factors contributes to higher water levels, and may increase threats to coastal regions and populations over the next century. Equally as important as these long-term changes are the short-term fluctuations in sea levels and tidal properties. These fluctuations may interact to yield locally extreme water level events, especially when combined with storm surge. This study, presented in three parts, examines the relationships between tidal anomalies and MSL anomalies on yearly and monthly timescales, with a goal of diagnosing dynamical factors that may influence the long-term evolution of tides in the Pacific Ocean. Correlations between yearly averaged properties are denoted tidal anomaly trends (TATs), and will be used to explore interannual behavior. Correlations of monthly averaged properties are denoted seasonal tidal anomaly trends (STATs), and are used to examine seasonal behavior. Four tidal constituents are analyzed: the two largest semidiurnal (twice daily) constituents, M2 and S2, and the two largest diurnal (once daily) constituents, K1 and O1.

Part I surveys TATs and STATs at 153 Pacific Ocean tide gauges, and discusses regional patterns within the entire Pacific Ocean. TATs with statistically significant relations between MSL and amplitudes (A-TATs) are seen at 89% of all gauges; 92 gauges for M2, 66 for S2, 82 for K1, and 59 for O1. TATs with statistically significant relations between tidal phase (the relative timing of high water of the tide) and MSL (P-TATs) are observed at 55 gauges for M2, 47 for S2, 42 for K1, and 61 for O1. Significant seasonal variations (STATs) are observed at about a third of all gauges, with the largest concentration in Southeast Asia. The effect of combined A-TATs was also considered. At selected stations, observed tidal sensitivity with MSL was extrapolated forward in time to the predicted sea level in 2100. Results suggest that stations with large positive combined A-TATs produce total water levels that are greater than those predicted by an increase in MSL alone, increasing the chances of high-water events.

Part II examines the mechanisms behind the yearly (TAT) variability in the Western Tropical Pacific Ocean. Significant amplitude TATs are found at more than half of 26 gauges for each of the two strongest tidal constituents, K1 (diurnal) and M2 (semidiurnal). For the lesser constituents analyzed (O1 and S2), significant trends are observed at ten gauges.

Part III analyzes the seasonal behavior of tides (STATs) at twenty tide gauges in the Southeast Asian waters, which exhibit variation by 10 – 30% of mean tidal amplitudes. A barotropic ocean tide model that considers the seasonal effects of MSL, stratification, and geostrophic and Ekman velocity is used to explain the observed seasonal variability in tides due to variations in monsoon-influenced climate forcing, with successful results at about half of all gauges. The observed changes in tides are best explained by the influence of non-tidal velocities (geostrophic and Ekman), though the effect of changing stratification is also an important secondary causative mechanism.

From the results of these surveys and investigations, it is concluded that short-term fluctuations in MSL and tidal properties at multiple time scales may be as important in determining the state of future water levels as the long-term trends. Global explanations for the observed tidal behavior have not been found in this study; however, significant regional explanations are found at the yearly time scale in the Solomon Sea, and at the seasonal time scale in Southeast Asia. It is likely that tidal sensitivity to annual and seasonal variations in MSL at other locations also are driven by locally specific processes, rather than factors with basin-wide coherence. (Abstract shortened by ProQuest.)

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5

Tate, Jennifer N. "Parameter estimation in tidally influenced numerical models determination of an appropriate objective function /." Master's thesis, Mississippi State : Mississippi State University, 2008. http://library.msstate.edu/etd/show.asp?etd=etd-06252008-082239.

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6

Stevens, Malcolm William. "A three-dimensional tidal model for shallow waters using transformations and variably spaced grids." Title page, contents and summary only, 1990. http://web4.library.adelaide.edu.au/theses/09PH/09phs845.pdf.

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7

Heger, Walter. "Using the finite difference and the finite element method to solve an electric current diffusion problem." Thesis, McGill University, 1987. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=66150.

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8

Bills, Peter John. "Barotropic depth-averaged and three-dimensional tidal programs for shallow seas /." Title page, contents and summary only, 1991. http://web4.library.adelaide.edu.au/theses/09PH/09phb599.pdf.

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9

Johnson, David. "The spatial and temporal variability of nearshore currents." University of Western Australia. Centre for Water Research, 2004. http://theses.library.uwa.edu.au/adt-WU2004.0067.

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The nearshore current field, defined here as the residual horizontal flow after averaging over the incident wave period, exhibits variability at a range of time and space scales. Some of the variable currents are low frequency gravity wave motions. However, variable, rotational (in the sense of possessing vertical vorticity) flow can also exist as part of the overall nearshore current field. A field and numerical modelling investigation of these variable rotational currents has been carried out. Drifters, which were developed for surfzone use, enabled measurement of the nearshore current structure; the design and testing of these new instruments is described. Two sets of field measurements, using the new drifters and Eulerian instruments were carried out for conditions with swell perpendicular to a plane beach and in strong longshore currents. In the perpendicular swell conditions, an interesting and well-defined feature of the measured trajectories was the development of transient rip currents. Discrete vortices were also observed. In the longshore current case, trajectories with the longshore current displacement removed had complex meandering paths. Lagrangian data were used to make estimates of length scales and dispersion, both of which provide strong evidence that the current field cannot be due to low frequency gravity waves alone. Under the assumption of equipartition of kinetic and potential energy for low frequency gravity waves, Eulerian measurements of velocities and pressure show significant energy due to non-divergent, rotational flow in both the perpendicular swell and longshore current case. A numerical model that can simulate horizontal flow with a directionally spread, random wave field incident on a plane beach was implemented. The model developed transient rip currents that are qualitatively very similar to those seen in the drifter trajectories from the field. The number and intensity of rip currents in the model depended on the beach slope and incident wave spectra. The energy content and cross-shore flux (and hence transport of material) of the rotational current flow component in the simulated flow fields is comparable to that due to low frequency gravity waves. The modelling also provided some evidence that there may be universal characteristics of the rotational currents. The field results and modelling show that variable rotational currents are ubiquitous in the field even when longshore currents and hence shear waves are not present. The term “infragravity turbulence” is suggested to describe the general class of nearshore hydrodynamics not directly associated with shear waves, which is largely disorganised, but contains well defined features such as transient rips currents and large scale horizontal vortices. The results have important implications in the understanding of the transport of material, including sediment, biological material, pollution, and sometimes bathers, in the nearshore zone.
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10

Matthews, Karyn. "A spherical coordinate tidal model of the Great Australian Bight using a new coastal boundary representation /." Title page, contents and abstract only, 1995. http://web4.library.adelaide.edu.au/theses/09PH/09phm4391.pdf.

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Книги з теми "Tidal currents Mathematical models"

1

Ballegooyen, R. C. Van. Dynamics relevant to modelling tidal and subtidal circulation in False Bay. Stellenbosch, South Africa: Marine Pollution Programme, Division of Earth, Marine and Atmospheric Science and Technology, CSIR, 1990.

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2

Russell, Gary M. Simulation of tidal flow and circulation patterns in the Loxahatchee River Estuary, southeastern Florida. Tallahassee, Fla: Dept. of the Interior, U.S. Geological Survey, 1987.

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3

Russell, Gary M. Simulation of tidal flow and circulation patterns in the Loxahatchee River Estuary, southeastern Florida. Tallahassee, Fla: Dept. of the Interior, U.S. Geological Survey, 1987.

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4

Russell, Gary M. Simulation of tidal flow and circulation patterns in the Loxahatchee River Estuary, southeastern Florida. Tallahassee, Fla: Dept. of the Interior, U.S. Geological Survey, 1987.

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5

Burau, Jon R. A vertically averaged spectral model for tidal circulation in estuaries. Sacramento, Calif: Dept. of the Interior, U.S. Geological Survey, 1989.

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6

Goodwin, Carl R. Simulation of tidal-flow, circulation, and flushing of the Charlotte Harbor estuarine system, Florida. Tallahassee, Fla: U.S. Dept. of the Interior, U.S. Geological Survey, 1996.

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7

Goodwin, Carl R. Simulation of tidal-flow, circulation, and flushing of the Charlotte Harbor estuarine system, Florida. Tallahassee, Fla: U.S. Dept. of the Interior, U.S. Geological Survey, 1996.

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8

Goodwin, Carl R. Simulation of tidal-flow, circulation, and flushing of the Charlotte Harbor estuarine system, Florida. Tallahassee, Fla: U.S. Dept. of the Interior, U.S. Geological Survey, 1996.

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9

Goodwin, Carl R. Simulation of tidal-flow, circulation, and flushing of the Charlotte Harbor estuarine system, Florida. Tallahassee, Fla: U.S. Dept. of the Interior, U.S. Geological Survey, 1996.

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10

Goodwin, Carl R. Simulation of tidal-flow, circulation, and flushing of the Charlotte Harbor estuarine system, Florida. Tallahassee, Fla: U.S. Dept. of the Interior, U.S. Geological Survey, 1996.

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Частини книг з теми "Tidal currents Mathematical models"

1

Simon, Bernard. "Tidal Model and Tide Streams." In Mathematical Models, 213–33. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2013. http://dx.doi.org/10.1002/9781118557853.ch7.

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2

Kłos, Andrzej. "Algebraic Model of Network Currents." In Mathematical Models of Electrical Network Systems, 25–30. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-52178-7_4.

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3

Tee, Kim-Tai. "Simple models to simulate three-dimensional tidal and residual currents." In Three-Dimensional Coastal Ocean Models, 125–47. Washington, D. C.: American Geophysical Union, 1987. http://dx.doi.org/10.1029/co004p0125.

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4

Rabinovich, Boris I., Valeryi G. Lebedev, and Alexander I. Mytarev. "Mathematical Models of High Electrical Conductivity Ferromagnetic Elements with Eddy Currents." In Vortex Processes and Solid Body Dynamics, 3–35. Dordrecht: Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-1038-9_2.

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5

She Xiaojian, A., B. Cui Zheng, and C. Zhang Lei. "Study on Landscape Water Level and Gate Operation Tidal Current Mathematical Model of Maluan Bay in Xiamen." In APAC 2019, 1035–41. Singapore: Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-15-0291-0_142.

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6

Rabinovich, Boris I., Valeryi G. Lebedev, and Alexander I. Mytarev. "Experimental Verification of Mathematical Models for Eddy Currents and Vortex Motions of Liquid." In Vortex Processes and Solid Body Dynamics, 123–55. Dordrecht: Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-1038-9_5.

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7

Holm, Darryl D., Ruiao Hu, and Oliver D. Street. "Coupling of Waves to Sea Surface Currents Via Horizontal Density Gradients." In Mathematics of Planet Earth, 109–33. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-18988-3_8.

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AbstractThe mathematical models and numerical simulations reported here are motivated by satellite observations of horizontal gradients of sea surface temperature and salinity that are closely coordinated with the slowly varying envelope of the rapidly oscillating waves. This coordination of gradients of fluid material properties with wave envelopes tends to occur when strong horizontal buoyancy gradients are present. The nonlinear models of this coordinated movement presented here may provide future opportunities for the optimal design of satellite imagery that could simultaneously capture the dynamics of both waves and currents directly.The model derived here appears in two levels of approximation: first for rapidly oscillating waves, and then for their slowly varying envelope (SVE) approximation obtained by using the WKB approach. The WKB wave-current-buoyancy interaction model derived here for a free surface with significant horizontal buoyancy gradients indicates that the mechanism for the emergence of these correlations is the ponderomotive force of the slowly varying envelope of rapidly oscillating waves acting on the surface currents via the horizontal buoyancy gradient. In this model, the buoyancy gradient appears explicitly in the WKB wave momentum, which in turn generates density-weighted potential vorticity whenever the buoyancy gradient is not aligned with the wave-envelope gradient.
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8

Yamamoto, Kei, Sophie Fischer-Holzhausen, Maria P. Fjeldstad, and Mary M. Maleckar. "Ordinary Differential Equation-based Modeling of Cells in Human Cartilage." In Computational Physiology, 25–39. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-05164-7_3.

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AbstractChondrocytes produce the extracellular cartilage matrix required for smooth joint mobility. As cartilage is not vascularised, and chondrocytes are not innervated by the nervous system, chondrocytes are therefore generally considered non-excitable. However, chondrocytes do express a range of ion channels, ion pumps, and receptors involved in cell homeostasis and cartilage maintenance. Dysfunction in these ion channels and pumps has been linked to degenerative disorders such as arthritis. Because the electrophysiological properties of chondrocytes are difficult to measure experimentally, mathematical modelling can instead be used to investigate the regulation of ionic currents. Such models can provide insight into the finely tuned parameters underlying fluctuations in membrane potential and cell behaviour in healthy and pathological conditions. Here, we introduce an open-source, intuitive, and extendable mathematical model of chondrocyte electrophysiology, implementing key proteins involved in regulating the membrane potential. Because of the inherent biological variability of cells and their physiological ranges of ionic concentrations, we describe a population of models that provides a robust computational representation of the biological data. This permits parameter variability in a manner mimicking biological variation, and we present a selection of parameter sets that suitably represent experimental data. Our mathematical model can be used to efficiently investigate the ionic currents underlying chondrocyte behaviour.
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9

He, Jie, and Zhizheng Xie. "Engineering Effect Test and Inspection of the Evolution of the Seabed Level near the Artificial Island of the Hong Kong-Zhuhai-Macao Bridge." In Advances in Transdisciplinary Engineering. IOS Press, 2022. http://dx.doi.org/10.3233/atde220954.

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The Hong Kong-Zhuhai-Macao Bridge is located at the mouth of Lingdingyang Bay. The east and west artificial islands are on both sides of the Lingdingyang Dahao Deep Channel. The waters of the artificial islands are deep and rapid, and the currents impact the artificial islands frontally, which is likely to cause major changes and adjustments in the underwater topography near the artificial islands, eventually forming a new pattern of the local beach evolution centred on the artificial islands. In the engineering design stage of the bridge, the Lingdingyang two-dimensional tidal current and sediment mathematical model was used to simulate the underwater topography near the artificial island of the Hong Kong-Zhuhai-Macao Bridge based on the verification of the measured basic data. The simulated results show that the impact of the artificial island on the water and sand environment of the Lingdingyang waters is concentrated in the waters of 5 km upstream and downstream of the artificial island. The results of the erosion and deposition changes of the underwater topography before and after the construction of the artificial island from 2009 to 2019 show that the trend of the seabed erosion and deposition changes caused by the construction of the artificial island is basically consistent with the prediction results of the mathematical model, which provides good evidence for the applicability of the mathematical model.
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10

"Mathematical models of water movement." In Tidal Power, 136–53. Institution of Engineering and Technology, 1991. http://dx.doi.org/10.1049/pben005e_ch9.

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Тези доповідей конференцій з теми "Tidal currents Mathematical models"

1

Xia, Yunfeng, Yuncheng Wen, Qinan Ma, and Rui Song. "Application of 2-D Mathematical Tidal Currents and Sediment Model in Sheyang Estuary Regulation Project." In World Environmental and Water Resources Congress 2008. Reston, VA: American Society of Civil Engineers, 2008. http://dx.doi.org/10.1061/40976(316)456.

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2

Adlinaufal, A. R., and A. Sulaksono. "Tidal deformation of non-relativistic white dwarf star in Beyond Horndeski modified gravity model." In PROCEEDINGS OF THE 5TH INTERNATIONAL SYMPOSIUM ON CURRENT PROGRESS IN MATHEMATICS AND SCIENCES (ISCPMS2019). AIP Publishing, 2020. http://dx.doi.org/10.1063/5.0007855.

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3

Karsten, Richard. "An Assessment of the Potential of Tidal Power From Minas Passage, Bay of Fundy, Using Three-Dimensional Models." In ASME 2011 30th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2011. http://dx.doi.org/10.1115/omae2011-49249.

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Large tidal currents exist in Minas Passage, which connects Minas Basin to the Bay of Fundy off the northwestern coast of Nova Scotia. The strong currents through this deep, narrow channel make it a promising location for the generation of electrical power using instream turbines. These strong currents are clearly illustrated in the results of a high-resolution, three-dimensional model of the flow through Minas Passage presented here. The simulations also clearly indicate the asymmetry of the flood and ebb tides and the 3D structure of the flow. A previous study has indicated that as much as 7000 MW could be extracted from the tidal currents through Minas Passage. However, this estimate was based on a complete fence of turbines across the passage, in essence a tidal barrage. In this paper, the power potential of partial turbine fences is examined. In order to estimate the power potential of turbine arrays, the theory of partial turbine fences is adapted to the particular dynamics of Minas Passage. The theory estimates the potential power of the fence and the change in flow that would result. The results are presented in terms of the portion of the cross-sectional area that the turbines occupy and the drag coefficient of the turbines. When the turbine fence occupies a large portion of the passage, the potential power of the fence rises significantly, to a value much larger than estimates based on the kinetic energy flux. The increase in power comes from the increased tidal head that a large turbine fence creates and the resulting increase in the turbine drag. We also present the efficiency of the turbine fence — given as the ratio of the power associated with the turbine drag over the total power extracted from the flow — and the impact of the turbines on the tidal flow. The results of the theory are compared to numerical simulations of the flow through the passage with turbines represented as regions of increased drag. The numerical simulations give power values that are three to six time as high as the theory suggests is possible. This discrepancy is examined by plotting the changes in tidal currents caused by the turbine fence.
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4

Lukyanova, Anna, Anna Lukyanova, Andrei Bagaev, Andrei Bagaev, Vladimir Zalesny, Vladimir Zalesny, Vitaliy Ivanov, and Vitaliy Ivanov. "NUMERICAL SIMULATION OF THE SEMIDIURNAL TIDAL WAVE IMPACT ON THE BLACK SEA CLIMATIC CIRCULATION." In Managing risks to coastal regions and communities in a changing world. Academus Publishing, 2017. http://dx.doi.org/10.31519/conferencearticle_5b1b9439af4c65.49313476.

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The Black Sea is an enclosed deep marine basin, where the structure of tidal movements is dominated by the direct influence of the tidal force on the proper water body. We investigated the spatial structure of its climatic circulation under the impact of tides. We developed a program module extending the numerical general circulation model of the Black Sea which was designed in the Institute of numerical mathematics, Moscow. It allows the lunar semidiurnal harmonics (M_2) influence to be taken into account explicitly via the discrete analogues of the differential equations of motion. Our work reflects the main results of the numerical experiment on the 4x4 km horizontal grid and 40 vertical σ-levels. It was a one-year model run using the CORE atmospheric climatology forcing. We compared the first and the last weeks of simulation and found out that the characteristics of a tidal mode M2 were established at a very short period of time (7 days), which is the estimate of the model’s energy redistribution time scale. The coastal areas where the tidal impact is substantial (~10 cm) were located mainly at the shallow-shelf inlets highly influenced by the climate change. Validation of the cotidal maps showed the reliability of our model at the climatological time scale. In future we will focus on the baroclinic tidal movements and validation with the Marine Hydrophysical Institute database in order to shed new light on physical and ecological processes at the frontal zone along the Rim Current.
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5

Lukyanova, Anna, Anna Lukyanova, Andrei Bagaev, Andrei Bagaev, Vladimir Zalesny, Vladimir Zalesny, Vitaliy Ivanov, and Vitaliy Ivanov. "NUMERICAL SIMULATION OF THE SEMIDIURNAL TIDAL WAVE IMPACT ON THE BLACK SEA CLIMATIC CIRCULATION." In Managing risks to coastal regions and communities in a changing world. Academus Publishing, 2017. http://dx.doi.org/10.21610/conferencearticle_58b4316462ec6.

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The Black Sea is an enclosed deep marine basin, where the structure of tidal movements is dominated by the direct influence of the tidal force on the proper water body. We investigated the spatial structure of its climatic circulation under the impact of tides. We developed a program module extending the numerical general circulation model of the Black Sea which was designed in the Institute of numerical mathematics, Moscow. It allows the lunar semidiurnal harmonics (M_2) influence to be taken into account explicitly via the discrete analogues of the differential equations of motion. Our work reflects the main results of the numerical experiment on the 4x4 km horizontal grid and 40 vertical σ-levels. It was a one-year model run using the CORE atmospheric climatology forcing. We compared the first and the last weeks of simulation and found out that the characteristics of a tidal mode M2 were established at a very short period of time (7 days), which is the estimate of the model’s energy redistribution time scale. The coastal areas where the tidal impact is substantial (~10 cm) were located mainly at the shallow-shelf inlets highly influenced by the climate change. Validation of the cotidal maps showed the reliability of our model at the climatological time scale. In future we will focus on the baroclinic tidal movements and validation with the Marine Hydrophysical Institute database in order to shed new light on physical and ecological processes at the frontal zone along the Rim Current.
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6

Mackay, Ed B. L., and Jon P. Hardwick. "Joint Extremes of Waves and Currents at Tidal Energy Sites in the English Channel." In ASME 2022 41st International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2022. http://dx.doi.org/10.1115/omae2022-79348.

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Abstract Efficient and resilient design of tidal turbines requires knowledge of the environmental conditions which they will be exposed to over the course of their design life. Several sites in the English Channel have been identified by technology developers for potential deployments of tidal farms. These sites are exposed to strong tidal currents and large wave conditions. At sites of interest for tidal energy extraction, the largest currents are primarily driven by astronomical forcing and can be predicted from harmonic analysis of relatively short datasets. In contrast, wave conditions are stochastic in nature and require long hindcasts to accurately estimate extreme conditions. Moreover, at sites relevant to tidal energy, currents have a significant influence on the wave conditions. This necessitates that extremes of waves and currents are assessed using joint probabilistic models, in order to specify combinations of waves and currents to be used in the structural design of tidal turbines. In this work we use a coupled wave-current model of the English Channel to create a 31-year hindcast of conditions. We examine the joint distribution of wave and current conditions for tidal energy sites near the Isle of Wight (UK) and in the Alderney Race, off the coast of France. We construct 3D environmental contours of current speed, significant wave height and relative direction between the waves and currents. It is shown that the largest waves occur when waves and currents are in opposing directions. The directional misalignment between waves and currents is examined and the potential impact that this may have on the design of tidal turbines is discussed.
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7

de la Portilla, Marina Pérez, Amable López Piñeiro, Luis Ramón Núñez Rivas, and Enrique Tremps Guerra. "Improved Design of Multi-Rotor Tidal Energy Converters." In ASME 2018 37th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/omae2018-78227.

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There is currently an increasing interest in developing devices that can be used to exploit renewable energy in general and marine renewable energy in particular. Several sources of energy can be obtained from oceans, such as the energy produced by waves, tides, oceanic currents or thermal gradients, etc. It is important to stress that one of the most predictable sources of renewable energy is that derived from tidal and marine currents. Several manufactures are developing devices with which to harness energy from ocean currents, and there is an extended trend towards the development of horizontal axis rotor turbines (HAT-TEC). There is, however, also a considerable amount of debate regarding both the use of fixed or controllable pitch rotors and the use of one or several rotors per device. The decisions made in this respect have a great effect on the behaviour of the devices and the viability of the park as regards whether or not it will be technically and economically feasible. It is, therefore, necessary to be able to compare models and tools in order to design and choose the best and most feasible option. The tools most commonly used for metric comparison are: LCOE (Levelized Cost Of Energy), TRL (Technology Readiness Level) and TLP (Technology Performance Level). This paper presents a formal procedure with which to compare various alternatives: On the one hand, previous results obtained by the GITERM-UPM Research Group as regards mono-rotor and multi-rotor fixed-pitch devices will be shown, together with their general characteristics. The possibilities of controlling them, which is achieved with the group’s own design of a ballast control system that is employed to carry out automatic emersion and immersion maneuvers to reduce the high economic cost of maintenance tasks and repairs, will also be explained. On the other hand, the challenges involved in improving the design of the multi rotor will be listed, including the increase in the power of the rotor, the simplification of the structure, the improvement of the ability to control the device, etc. A new design for a multi-rotor device will also be presented, which takes advantage of the strengths of previous models and manages to substantially improve the amount of annual energy produced. This new device uses controllable pitch rotors, and its size and the amount of power produced by each generator have been improved. Finally, an economic comparison is carried out by means of a series of cost-benefit indicators, and a formal procedure with which to compare their benefits through the use of LCOE is also proposed.
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8

den Haan, Joost. "Harmonic Analysis on Low Quality Tidal Data." In ASME 2014 33rd International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/omae2014-24014.

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The aim of the study is to devise a method to conservatively predict a tidal power generation based on relatively short current profile measurement data sets. Harmonic analysis on a low quality tidal current profile measurement data set only allowed for the reliable estimation of a limited number of constituents leading to a poor prediction of tidal energy yield. Two novel, but very different approaches were taken: firstly a quasi response function is formulated which combines the currents profiles into a single current. Secondly, a three dimensional vectorial tidal forcing model was developed aiming to support the harmonic analysis with upfront knowledge of the actual constituents. The response based approach allowed for a reasonable prediction. The vectorial tidal forcing model proved to be a viable start for a full featuring numerical model; even in its initial simplified form it could provide more insight than the conventional tidal potential models.
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9

Jakovljević, Aleksandar, Martin Dumont, and Frédéric Dias. "Effect of Wave-Current Interaction on Strong Tidal Current." In ASME 2018 37th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/omae2018-78121.

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We consider the influence of wave-current interactions (WCI) on the tidal energy resource through changes in the velocity field of tidal currents. In order to investigate this, we have run three models: SWAN (stand-alone), ROMS (stand-alone) and COAWST (two-way coupled ROMS and SWAN model). The research area of our studies is Alderney Race, France, an area with strong currents, which has a strong potential for tidal turbine deployment. The time period used for the simulations was March 2008, when a strong storm hit the Alderney Race area and produced significant wave heights (Hs) of up to 7 m and a Stokes drift near the surface close to 0.3 m/s. Furthermore, in order to see the extent of the influence of large waves on current parameters, two virtual storms with larger waves have been generated by magnifying the wave energy spectrum and changing the frequency of the spectrum of the real storm in March 2008. The 3D and the barotropic velocity field were analysed in order to see if the WCI in the waters of Alderney Race during storm conditions can cause a significant increase or decrease of the current speed and through which mechanisms. This study also investigates the Turbulent Kinetic Energy (TKE) in order to portray the turbulent conditions in the area of interest which are important for resource characterisation and device design.
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Coelho, Henrique, Zhong Peng, Dave Sproson, and Jill Bradon. "A Methodology to Characterize Internal Solitons in the Ocean." In ASME 2018 37th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/omae2018-77869.

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Internal waves in the ocean occur in stably stratified fluids when a water parcel is vertically displaced by some external forcing and is restored by buoyancy forces. A specific case of such internal waves is internal tides and their associated currents. These currents can be significant in areas where internal waves degenerate into nonlinear solitary waves, known as solitons. Solitons are potentially hazardous for offshore engineering constructions, such as oil/gas pipelines and floating platforms. The most efficient mechanism of soliton generation is the tidal energy conversion from barotropic to baroclinic component over large-scale oceanic bottom obstructions (shelf breaks, seamounts, canyons and ridges). In this paper, a methodology is provided to compute diagnostics and prognostics for soliton generation and propagation, including the associated currents. The methodology comprises a diagnostic tool which, through the use of a set of theoretical and empirical formulations, selects areas where solitons are likely to occur. These theoretical and empirical formulations include the computation of the integral body force (1), the linear wave theory to compute the phase speed and the empirical model proposed by (2). After the selection procedure, the tool provides initial and boundary conditions for non-hydrostatic numerical models. The numerical models run in 2D-V configuration (vertical slices) with horizontal and vertical resolutions ranging from 50 to 200 m and 5 to 10 m, respectively. Examples are provided for an open ocean location over the Mascarene Plateau in the Indian Ocean. Validation of diagnostics and prognostics are provided against ADCP and satellite data.
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