Mass transport in rotatory tidal currents

Summary A perturbation method is used to calculate steady non-linear effects in rotatory tidal currents. The inclusion of the Coriolis acceleration leads to a uniquely determined second order current system in the tidal stream. This is shown to be absent in high frequency gravity waves. It is found that particle drift, or mass transport, is critically dependent on this mean current, and consequently on the value off/,f being the Coriolis parameter, and the angular frequency of the oscillation.     

Incoherent internal tidal currents in the deep ocean

Eleven months current meter observations from the deep Bay of Biscay were examined for the residual (incoherent internal tidal; icIT) signal, left after harmonic analysis using eight tidal constituents (large-scale barotropic or coherent baroclinic signal) within the semidiurnal band. This residual signal comprised 30% of the total tidal kinetic energy and, due to its flat spectral appearance, it was responsible for typically 5–7 days intermittency. Although icIT was part of the red noise internal wave band continuum, it was not attributable to instrumental noise. It consisted of quasi-harmonics at non-tidal harmonic frequencies having amplitudes larger than N₂, the third largest semidiurnal tidal constituent. It is suggested that the kinetic energy at these non-tidal frequencies reflects interaction between semidiurnal tidal motions and the slowly varying background conditions.Responsible Editor: Roger Proctor     

Topographically generated steady currents in barotropic turbulence

Abstract

Steady currents develop in oceanic turbulence above topography even in the absence of steady forcing. Mesoscale steady currents are correlated with mesoscale topography with anticyclonic eddies above topographic bumps, and large scale westward flows develop when β is non-zero. The relationship between those two kinds of steady currents, as well as their dependence on various parameters, is studied using a barotropic quasi-geostrophic channel model. The percentage of steady energy is found to depend on the forcing, friction and topography in a non-monotonic fashion. For example, the percentage of steady currents grows with the energy level in the linear regime (low energies) and decreases when the energy level increases in the nonlinear regime (high energies). Mesoscale steady currents are the energy source for the steady westward flow U, and therefore U is the maximum when large scale and mesoscale currents are of the same order of magnitude. This happens when the ratio S of the large scale slope βH/f ₀ and the mesoscale rms topographic slope α is of order one. U decreases for both small and large values of S.     

A depth-dependent study of the topographic rectification of tidal currents

Abstract

A depth-dependent model for the topographic rectification of tidal currents in a homogeneous rotating fluid is used to examine the dependence of the rectified mean flow on various tidal, topographic and frictional parameters. Friction is parameterized through a vertically-uniform, time-independent vertical eddy viscosity and a bottom stress law applied near the top of the constant stress layer. The model neglects the interaction of mean and tidal currents, assumes uniformity along isobaths, and is closed with the assumption of zero depth-averaged mean flow across isobaths.

In the limit of depth-independence, the model reduces to that considered by Huthnance (1973) and Loder (1980) which, for weak friction, favours anticyclonic mean circulation around shallow regions and Lagrangian flow which is significantly reduced from the Eulerian. With the inclusion of vertical structure, the magnitude of the anticyclonic flow is amplified suggesting that depth-independent models may underestimate the along-isobath flow. For strong friction the direction of the mean flow depends on the orientation of the tidal ellipse relative to the isobaths. The depthindependent model again underestimates the magnitude of the along-isobath flow, but this can be offset with an appropriate reduction of the bottom friction coefficient.

The cross-isobath mean flows are one to two orders of magnitude weaker than the along-isobath flows and generally have more vertical structure. There is also a significant Stokes drift in the cross-isobath direction. Although there is some tendency for the cross-isobath mean bottom current to be down the cross-isobath mean pressure gradient, it appears that it is not generally possible to infer this current from depth-independent models.     

Strong tidal currents over two shallow banks in the western subarctic Pacific

The south-flowing waters of the Kamchatka and Oyashio currents are key components of the western subarctic Pacific gyre. The dissipation of tidal energy in shallow and coastal regions of these currents and the attendant mixing are the important processes that affect the upper layer temperature and salinity. Examples of the impact of tidal currents on water temperature and salinity are the persistent tide-driven mixing around the Kashevarov and Kruzenshtern banks. The Kruzenshtern Bank is a shallow submarine bank stretching along the eastern continental slope of the Kuril Islands with the minimum depth of 86 m. Surface drifters observations are used to determine the characteristics of tidal currents and the circulation over these banks. New software that allows more versatility in the harmonic analysis is used for drifter’s data. The two banks have similar features. The variations in current velocities are dominated by the diurnal signals. The K₁ and O₁ tidal ellipses over the banks are the largest and clockwise. The enhanced tidal currents suggest that the formation of cold and saline water in summer is due to mixing of water column over the banks with intermediate waters. Variations of tidal ellipses over the bank may explain the formation of polynya at the western end of the Kashevarov Bank. We found that the 18.6-year lunar nodal cycle is a significant characteristic of salinity variation at the temperature minimum in the eddies eastward of the Boussole Strait over the period 1990–2015.     

The vertical structure of tidal currents and other oscillatory flows

Assuming a linearized equation of motion in the absence of stratification, the vertical structure of tidal currents is shown to be a function of two dimensionless parameters. The first of these, Y = (ω/E)1/2D, is analogous to an Ekman height with ω the tidal frequency, D the depth, and E the (constant) vertical eddy viscosity. The second parameter, J = (ωE)1/2[(8/3π)kŪ], introduces the effect of a quadratic bed stress through the bed-stress coefficient k and the depth-averaged velocityÜ. From these it is possible to illustrate the full range of possible vertical structure and to understand the basic scaling laws involved.By assuming E =aU¯D good agreement between theory and observation was found. With this assumption vertical structure reduces to a function of just one parameter, namely kS, where S =Ū2π/Dω is the Strouhal number.By resolving tidal current ellipses into clockwise and anticlockwise rotating components the original theory developed for recti-linear flow can be applied to fully three-dimensional flow. In this way, many of the observed characteristics of current structure in shallow seas may be explained.     

Measurements of the turbulence characteristics of sand suspended by a tidal current

Measurements made with a new fast-response suspended sand sensor have for the first time enabled the turbulence characteristics of a natural sand suspension to be studied. Suspended sand concentration measurements, together with fast-response current measurements, were made 18 cm above a sandy bed under a strong tidal current. They showed a highly variable concentration field, dominated by clouds of sand which took 2 to 10 s to sweep past the sensor. The concentration spectrum had peak energy at a wavelength of about 3 m, and exhibited a −5/3 power dependence at high frequencies. Damping of the turbulence intensity of the current was observed when sand was suspended. A spectral approach produced more plausible values for the upward Reynolds flux of sediment than the direct covariance technique. The calculated upward fluxes were appreciably smaller than the settling fluxes around the time of maximum current, contrary to the expectation for an equilibrium concentration profile. The turbulence characteristics of the concentration field displayed marked similarities with standard results from atmospheric temperature measurements, strengthening assumptions commonly made in the prediction of sediment transport rates.     

Growth of large-scale bed forms due to storm-driven and tidal currents: a model approach

An idealized morphodynamic model is used to gain further understanding about the formation and characteristics of shoreface-connected sand ridges and tidal sand banks on the continental shelf. The model consists of the 2D shallow water equations, supplemented with a sediment transport formulation and describes the initial feedback between currents and small amplitude bed forms. The behaviour of bed forms during both storm and fair weather conditions is analyzed. This is relevant in case of coastal seas characterized by tidal motion, where the latter causes continuous transport of sediment as bed load.The new aspects of this work are the incorporation of both steady and tidal currents (represented by an M₂ and M₄ component) in the external forcing, in combination with dominant suspended sediment transport during storms. The results indicate that the dynamics during storms and fair weather strongly differ, causing different types of bed forms to develop. Shoreface-connected sand ridges mainly form during storm conditions, whereas if fair weather conditions prevail the more offshore located tidal sand banks develop. Including the M₄ tide changes the properties of the bed forms, such as growth rates and migration speeds, due to tidal asymmetry. Finally a probabilistic formulation of the storm and fair weather realization of the model is used to find conditions for which both types of large-scale bed forms occur simultaneously. These conditions turn out to be a low storm fraction and the presence strong tidal currents in combination with strong steady currents during storms.     

A geometric method to study water and sediment exchange in tidal harbors

The exchange flow of water and sediment between a harbor and the surrounding waters can be geometrically decomposed into three main components: tidal filling, horizontal, and vertical exchange flows. The method is applied to analyze available measurements at two important harbor basins in Belgium. The geometric analysis can also be applied to the results of a numerical model of hydrodynamics and sediment transport, provided it has sufficient horizontal, vertical, and temporal resolutions to capture the dynamics at the harbor mouth. As such, it can be used as a tool in model calibration. The presented method can provide some insight into the complex relationship (phasing and spatial correlations) between hydrodynamics and sediment concentration that determines harbor siltation.     

Seismic receiver coupling to the seafloor

The presence of geophysical receivers on the seafloor changes the local wave field due to the receiver seafloor interaction. The resulting PP- and PS-wave distortion of the wave field is often referred to as receiver coupling to the seafloor and can make data processing challenging and sometimes impossible. This paper provides an overview of the mathematical approaches to describe receiver coupling, how to estimate receiver coupling and what the difficulties and possible solutions are. The first section shows how the mathematical approach developed from a simple model considering only the vertical receiver component to include all three receiver components and their interactions with the seafloor. In the second section, I show how receiver coupling can be measured and how it can be improved using mathematical and data-driven approaches.     

An enhanced depth-averaged tidal model for morphological studies in the presence of rotary currents

A simple and efficient method to improve morphological predictions using depth-averaged tidal models is presented. The method includes the contribution of secondary flows in sediment transport using the computed flow field from a depth-averaged model. The method has been validated for a case study using the 3D POLCOMS model and ADCP data. The enhanced depth-averaged tidal model along with the SWAN wave model are applied to morphological prediction around the Lleyn Peninsula and Bardsey Island as a case study in the Irish Sea. Due to the presence of a headland in this area two asymmetrical tidal eddies are developed in which the cyclonic eddy is stronger as a result of Coriolis effects. The results show that the enhanced model can effectively predict formation of sand banks at the centre of cyclonic eddies, while the depth-averaged model, due to its inability to accommodate secondary flow, is inadequate in this respect.     

Experiments with a numerical model of coastal currents and tidal mixing fronts

A three-dimensional numerical model is used to simulate the development of disturbances on shelf-sea coastal currents and fronts. The model, which has a free surface, uses a finite difference grid ☐ scheme based on sigma coordinates. It has a semi-implicit scheme for the barotropic flow and a hydrid advection scheme to retain sharp fronts. The results demonstrate that (i) eddy formation follows changes at the inflow of a coastal current, (ii) a simple radiation boundary condition at the outflow produces nearly identical results for different outflow boundary positions, (iii) eddy growth, with matching behaviour of surface and bottom fronts, follows a small displacement on a tidal mixing front and (iv) effects of friction and mixing can significantly alter the behaviour of the front and the relative strength of the cyclonic and anticyclonic eddies formed.     

Mapping of tidal current and associated nonlinear currents in the Xiangshan Bay by coastal acoustic tomography

Ocean Dynamics - Herein, tidal current and associated nonlinear currents were measured using nine coastal acoustic tomography (CAT) systems surrounding the tomography domain in Xiangshan Bay from...     

Measurements of upper and lower tidal currents at Banc de la Chapelle

Summary Measuring and analysis techniques are described for two sets of measurements of tidal currents near the surface and near the bottom at Banc de la Chapelle, a location 165 m. deep above the edge of the West European Continental Shelf. Reliable results are obtained for the semi-diurnal currents, but the scatter of the data is too great for consistent results to be extracted for the small diurnal and quarter-diurnal tidal constituents. The major axes of the mean semidiurnal current ellipses are aligned at about 30°. This direction is normal to the line of greatest slope of the shelf edge and to the main alignment of the large sand waves on the bank, which accords with a theory of formation of the latter. Bottom currents are on the average about 69% of the surface currents in magnitude. There is also some evidence for a residual drift of about 0·2 knot towards the West. An analysis is made of the errors involved in estimating the drift of a ship from Radar sights on moored buoys.

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Messungen der oberen und unteren Gezeitenströmungen bei der La-Chapelle-Bank

Zusammenfassung Es werden Meß- und Analysemethoden beschrieben für zwei Serien von Gezeitenstrommessungen nahe der Oberfläche und in Bodennähe auf der La-Chapelle-Bank, einer 165 m tiefen Stelle am Rand des West-Europäischen Kontinentalabhangs. Für halbtägige Gezeitenströme wurden zuverlässige Ergebnisse erzielt, die Streuung der Werte ist jedoch zu groß, um übereinstimmende Ergebnisse für die kleinen ganztägigen und vierteltägigen Tiden aus ihnen ableiten zu können. Die Hauptachsen der mittleren halbtägigen Gezeitenstrom-Ellipse bilden einen Winkel von rechtweisend 30⁰. Diese Richtung verläuft senkrecht zur Linie der größten Neigung des Schelfrandes und zur Hauptrichtung der großen Sandwellen auf der Bank, was mit der Theorie über die Entstehung der Bank übereinstimmt. Die Bodenströmungen betragen ungefähr 69% der Oberflächenströmungen. Es scheint auch ein Reststrom von ungefähr 0,2 kn in westlicher Richtung vorhanden zu sein. Die Fehler, die bei Errechnung der Abdrift eines Schiffes mit Hilfe von Radar-Beobachtungen von einer verankerten Boje aus auftreten, werden untersucht.

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La mesure des courants supérieurs et inférieurs de marée sur la banque de la Chapelle

Résumé On décrit des méthodes de mesure et d'analyse pour deux séries de mesures des marées près de la surface et au voisinage du fond sur la banque de la Chapelle, un endroit situé à 165 m de profondeur au bord de la marge continentale de l'Europe occidentale. Des résultats authentiques ont été obtenus en ce qui concerne les marées semi-diurnes, leurs valeurs, cependant, diffèrent à un tel point que l'on ne peut en dériver des résultats conformes pour les petites marées quart-diurnes ou pour celles qui se produisent seulement une fois par jour. Les axes principaux de l'ellipse de la marée semi-diurne forment un angle vrai de 30 degrés. Cette direction suit un cours perpendiculaire à la ligne de la plus grande pente de la marge continentale et à la direction principale de grandes rides de sable sur la banque ce qui s'accorde bien avec la théorie de sa genèse. Les courants au voisinage du fond font 69% des courants superficiels. En outre, il paraît qu'il existe un courant résiduel orienté vers l'ouest dont la vitesse est de 0,2 noeud. Les erreurs se produisant lorsqu'on calcule la dérive du bâtiment à l'aide des observations de radar faites à bord d'une bouée ancrée sont étudiées.

     

三门湾沿海声层析潮流观测实验

2009年9月6日至9日在三门湾进行了沿海声层析(Coastal Acoustic Tomography,CAT)潮流观测实验.实验由7台沿海声层析仪组网进行,并分别由渔船定点抛锚于7个站位.实验期间,还进行了定点ADCP(Acoustic Doppler Current Profiler)观测.通过建立逆模式对声传播时间差进行解析,引入权重因子,用L-curve法确定阻尼因子的最佳值,继而根据阻尼最小二乘法得到流速的最佳解.根据逆模式得到的流速分布可知该海区的潮流以半日潮(M2)为主,M2潮流椭圆呈东南-西北走向,潮流基本都是顺着水道,即涨潮为西北流向,退潮为东南流向.西北向与东南向最大流速分别为1.03 m·s-1和1.09 m·s-1.实验期间该区域的余流是从湾外流入湾内,平均流速约为0.05 m·s-1.CAT与定点ADCP流速的东分量和北分量的均方差均小于0.18 m·s-1.这样大面积的潮流和余流水平分布的同步观测,用传统观测手段很难实现.通过以上结果可以得出,沿海声层析技术可以作为一种新的测流方法对强潮海区进行大面积潮流观测,可在我国沿海的海洋环境监测等方面发挥重要作用.     

Variability of baroclinic tidal currents on the Mackenzie Shelf,the Southeastern Beaufort Sea

Semidiurnal tidal currents on the outer shelf of the Mackenzie Shelf in the Beaufort Sea were found to be strongly influenced by the locally generated baroclinic tide. Two primary factors are involved in this process: (1) the sharp shelf break along the northeastern Mackenzie Shelf, promoting the generation of vigorous internal tidal waves; and (2) the proximity to critical latitudes for M₂ and N₂ motions locking these waves and preventing them from leaving the source region. As a result, internal tides are resonantly trapped between the shelf and critical latitudes. The physical properties and temporal variations of tidal motions were examined using current meter measurements obtained from 1987–1988 at four sites (SS1, SS2, SS3, and SS4) offshore of the shelf break at depths of ∼200 m. Each mooring had Aanderaa RCM4s positioned at ∼35 m below the surface and ∼50 m above the bottom. Complex demodulation was used to compute the envelopes (amplitude modulation) of these components. A striking difference in the variability of clockwise (CW) and counterclockwise (CCW) tidal currents was found. The CW tides are highly variable, have greater amplitude, exhibit a burst-like character associated with wind events and contain about 80% of the total energy of the semidiurnal tidal currents. In contrast, the CCW components have a more regular temporal regime with distinct monthly, fortnightly and 10-day modulation at astronomical periodicities associated with frequency differences M₂–N₂ (0.03629 cpd), S₂–M₂ (0.06773 cpd), and S₂–N₂ (0.10402 cpd). Significant horizontal correlation of the CW current envelopes was found only between stations near the northeast Mackenzie Shelf, indicating this to be the main area of baroclinic internal wave generation.