A numerical model of the internal tide in knight inlet,British Columbia

Abstract

A two‐dimensional, hydrostatic numerical model of the tides in Knight Inlet is compared with observations of velocity and density obtained from three cyclesonde moorings. The observations from a fourth cyclesonde mooring were used to provide boundary data at the open end of the model. The time period in the fjord that the model simulates was a period of high, freshwater runoff, so that the fjord had a distinct, surface layer. The use of high, vertical resolution was avoided by attaching a homogeneous, fresh, surface layer to the top of the model. The density equation was linearized about a mean, fixed density field, and the mixing of density was not allowed.

The model reproduces the semidiurnal (M₂, S₂ and N₂) and diurnal (K₁ and O₁) velocity and density signals in the inlet. The shallow‐water constituents (M₄ and MK₃) are reproduced even though the density equation has been linearized. The fortnightly constituent (MSf) is poorly simulated. When the advection terms in the momentum equation are set to zero, the basic features of the semidiurnal and diurnal constituents are still reproduced, but the shallow‐water constituents are poorly simulated.

The energy flux along the inlet of the M₂ internal tide is insensitive to the advective terms in the momentum equation. The total rate of dissipation of M₂ energy is similar to the energy flux in the M₂ internal tide near the sill, which implies that, according to the model, most of the energy removed from the barotropic tide is fed into the internal tide. The majority of the energy in the M₂ internal tide is dissipated close to the sill of the inlet, but enough of the energy makes its way to the head of the inlet to reflect and set up a recognizable standing wave pattern.     

Semi‐diurnal internal wave diffraction caused by Dixon Entrance,British Columbia

Abstract

To develop an understanding of the complex internal tidal phenomena observed near and inside Dixon Entrance, an idealized numerical model was developed for the area, which explores the influence of various topographic features on the scattering of internal tides. The model uses a non‐linear, two‐layered, frictionless finite difference formulation of the shallow water equations and is forced by a barotropic wave over simplified topography. It was found that the main bathymetric features responsible for the generation of semi‐diurnal internal tides are the steep continental slope together with the orientation of Dixon Entrance. The prevalent baroclinic wave pattern, which is similar to the one found by Buchwald (1971), suggests that the western end of Dixon Entrance can be considered as an internal tide generation region for the open ocean. Use of the simple model allows easy identification of the generated waves. When the model is run with a non‐flat channel it reproduces features observed inside Dixon Entrance.     

A tidal model of the northeast pacific

Abstract

The development of a tidal model for the west coast of Canada is described. The model is intermediate in resolution between coarse‐gridded global models and fine‐gridded local models; it provides a good representation of the main shelf regions and also includes a substantial area of the neighbouring ocean. The physical processes relevant to tides in both deep and shallow water are included. Calculations have been carried out for the M₂ and K₁ constituents and the model results were compared with extensive tide‐gauge observations and empirically based charts. For M₂, the agreement between model results and observations is generally excellent, but for K₁, which contains more small‐scale variability, the model results are not quite so good. The variability in K₁ is associated with tidally generated continental shelf waves. Examination of the computed currents and energy fluxes suggests that shelf‐wave components are present in the model solution but, for the Vancouver Island shelf, their propagation is not reproduced accurately. This may be due to deficiencies in the model and/or to the influences of stratification and mean currents, which are neglected here. The model predicts that shelf‐wave components should also occur in diurnal tides on the Alaskan shelf.

The significance of the tide‐generating potential and advection are also examined and further work proposed.     

Storm waves in Canadian waters: A major marine hazard

Abstract

In this paper, an overview of storm waves associated with intense weather systems affecting the east and west coasts of Canada is presented. The paper presents the wave climatology of the east and west coasts in terms of the 100‐year significant and maximum wave heights and further analyses the directional distribution of wave heights at selected locations in the Canadian east and west coasts offshore. The paper also analyses wave hazards associated with storm waves in the Beaufort Sea as well as the Canadian Great Lakes region. A section on ocean wave modelling provides a brief history of the development of ocean surface wave models and its present status. The paper further considers the impact of climate change scenarios on wave hazards and finally examines mitigation measures in terms of wave products available from operational wave models and related wave climatology.     

Frequency and directional evaluation of the ocean data gathering program (ODGP) wave spectra at Hibernia

Abstract

The frequency and directional wave‐modelling capability of the Ocean Data Gathering Program (ODGP) deep water spectral wave model is assessed through comparison with WAVEC data gathered at Hibernia. Both qualitative and quantitative analyses indicate better agreement with observations during storms and with the wind‐driven component of the wave spectra. There is statistically poor modelling of the swell. A coherence analysis on derived wave vectors indicates that the ODGP model does not simulate geophysical variability with time‐scales less than about 30 h for overall spectral energy and less than 24 h for wave energy of frequency greater than 0.6 rad s^?1 (0.095 Hz). The signals associated with swell waves are incoherent at nearly all time‐scales.     

Analysis of internal solitary waves observed in Davis Strait

Abstract

Current meters and a thermistor chain deployed in the proximity of a drill‐ship over the continental shelf off Baffin Island revealed the presence of large amplitude internal waves. This paper reviews the properties of the internal waves, observed to propagate away from the coast and to coincide with the local low water phase of the tide at the drill‐ship. The observations are considered in terms of internal solitary wave models. A detailed comparison is presented of wave properties with a long‐wave model incorporating continuous stratification and shear.     

Refinement and testing of a lake wind wave model on seasonal data: Research note

Abstract

A lake wind wave model is modified by increasing the forcing function, reducing the wave directional spreading, and correcting for static stability. The model results are compared with data for several seasons and locations. It is found that the existing model, tuned for selected constant wind cases, is accurate and consistent for various weather situations and lakes.     

The role of wave energy accumulation in tropical cyclogenesis over the tropical North Atlantic

A hierarchical modeling approach is used to study the process by which interactions of easterly waves with the background flow can result in a reduction in the longitudinal and vertical scale of the waves. Theory suggests that in flows that possess a negative longitudinal gradient (U _x  < 0) there is a reduction of longitudinal and vertical group speeds and an increase in regional wave action density (or “wave energy”). Relative vorticity increases locally leading to an increase in the likelihood of tropical cyclogenesis near the wave axis. Opposite impacts on the structure of the waves is expected in a U _x  > 0 domain. In the simplified framework of a free-surface and divergent shallow water model, Rossby wave properties are tracked through a range of background flow scenarios to determine the important scales of interaction. The importance of wave energy accumulation for tropical cyclogenesis is then studied in a full physics and dynamics model using a nested regional climate model simulation, at 12 km horizontal grid spacing, over the tropical North Atlantic region for the entire 2005 hurricane season. The dynamical environment within which 70% of easterly waves formed tropical cyclones exhibits coherent regions in which easterly winds increase towards the east, consistent with the occurrence of wave energy accumulation.     

Theoretical meteorology and the operational meteorologist

Abstract

Values of incoming solar and long‐wave radiation measured at the vessel Quadra during the three phases of GATE are used to assess the daily performance of three models, one for solar and two for long‐wave radiation. The solar radiation model, which uses data on precipitable water and cloud amount at three levels in the atmosphere performed satisfactorily during the first phase but gave poor results in the other two phases when cumulonimbus became more dominant. Both the flux‐emissivity approach using measured and interpolated Upper air data and Paltridge's empirical procedure produced estimates of long‐wave radiation which compared very closely with the measurements.     

The application of non‐linear normal mode initialization to an operational forecast model

Abstract

The non‐linear normal mode initialization technique used in shallow water equation models by Baer (1977) and Machenhauer (1977) is now applied to a full baroclinic primitive equations forecast model. The initialization procedure is shown to be capable of completely removing high frequency oscillations from model integrations, even in the presence of topography. The procedure also produces a consistent and physically realistic initial vertical motion field.     

A simple gravity wave drag parametrization for use in medium‐range weather forecast models

Abstract

A simple gravity wave drag parametriiation over mountainous terrain is tested for its ability to reduce the systematic errors of medium‐range weather forecasts. Following Boer et al. (1984), this parametrization is a function of the low‐level wind speed and stability, the local Froude number, and the variance of the subgrid‐scale orographie features.

A comparison study of ten 7‐day forecasts obtained with envelope orography, wave drag or standard orography, shows that wave drag is as effective as envelope orography in reducing the systematic errors. A further comparison where the combined effects of the wave drag and that of a complementary enhanced orography (that is one that includes only the subgrid‐scale elements not treated separately by wave drag) are taken into account shows this latter approach to be the most promising in reducing orographically‐related systematic errors.     

La riviere Tornado,july 20, 1968

Abstract

This paper describes the observational framework for the research reported within this Special Issue. The validation of the ERS‐1 synthetic aperture radar (SAR) for ocean wave measurement was the primary goal and focus; secondary goals were the validation of wave models and marine radars and the investigation of the wind stress/sea‐state relation in the open ocean.

The planned focus of the observations on the ERS‐1 crossover node location and pass times over the Grand Banks of Newfoundland, and on the grid points of the Atmospheric Environment Service's operational wave prediction model, has produced the opportunity for an accurate calibration and a relevant validation of the ERS‐1 SAR, the wave model and the marine radars.

The observations, made on the Grand Banks in winter, strongly emphasize the complexity of the atmospheric and wave fields encountered in the open sea at these latitudes. Their interpretation will provide a challenge, and will require consideration of a wide variety of data sources, both remotely sensed and in situ, all assimilated in the framework of physical ocean models.     

Inertial waves in the ‘gulf of St Lawrence: A study of geostrophic adjustment

Abstract

It is shown that inertial oscillations of significant magnitude can be generated by geostrophic adjustment in a shallow sea. Evidence of them in current‐meter data from the Gulf of St Lawrence is presented. The geostrophically unbalanced state required for the adjustment process is identified in the data by the occurrence of high accelerations of the currents. The difference between the inertial oscillations generated by different mechanisms, the intermittence and the frequency shift of the inertial waves are discussed.     

Deep and intermediate water replacement in the Strait of Georgia

Abstract

We have studied deep‐water replacement processes in the Strait of Georgia using data from two different observational programs. From the monthly hydrographic data of Crean and Ages (1971) we have recognized the propagation of cold, brackish and well oxygenated waters northwards from Boundary Passage at depths between 75 and 200 m. We found a significant correlation over the years 1967–78 between surface cooling and temperature drops at those depths some months later. Measurements at an array of moorings in the central Strait of Georgia (Stacey et al., 1987) revealed the presence during summer months of currents concentrated near the bottom and varying with fortnightly and monthly periods. We have interpreted this phenomenon in terms of gravity currents originating from Boundary Passage during periods of neap tides and introducing at depth salty waters from the Strait of Juan de Fuca. Our analysis confirms in part the validity of the deep‐water replacement mechanisms advanced by Waldichuk; however, we find that wintertime replacement does not usually reach bottom while summertime penetration of waters from the Strait of Juan de Fuca clearly does. Because of the important role played by tidal mixing, monthly sampling is inadequate to resolve and understand the deep‐water replacement processes.     

Ice‐floe collisions interpreted from acceleration data during LIMEX ‘89

Abstract

Wave‐induced ice motions measured during the Labrador Ice Margin Experiment (LIMEX ‘89) were interpreted to determine the cause and the frequency of collisions between floes. The LIMEX acceleration data were acquired with an optimal resolution near the predominant wave frequency and did not contain information above 0.5 Hz. It was therefore possible to establish the frequency of collisions, but not the magnitude of the events. Events were defined by any contact between floes in a wave cycle, and the distribution of times between events indicates that floes are more likely to collide in adjacent wave cycles than if the events were independent. Periods of continuous and intermittent collisions were related to the wave characteristics, and the frequency of events increased with a decrease in air temperature and an increase in local wind speed. Contrary to expectations, there was not a positive relation between collision frequency and wave amplitude.     

三维层结大气随高度变化基流的不稳定性及半椭圆定理

本文应用Ｈｏｗａｒｄ（１９６１）所用的精巧积分方法研究了三维非静力平衡层结大气随高度变化基流上重力内波的不稳定性质。给出了不稳定产生的必要条件和相速度在相速复平面上的分布规律；发展了Ｍｉｌｅｓ定理和Ｈｏｗａｒｄ半圆定理；得到了有限深度气层的半椭圆定理。并指出在随高度变化的基流中，重力内波的不稳定范围与基流的垂向结构及波传播方向有关；半椭圆的位置和长轴分别重合于Ｈｏｗａｒｄ半圆的位置和直径，而短轴则依赖于与Ｒｉｃｈａｒｄｓｏｎ数相关的参数Ｊ０，Ｒ０和波数｜ｋ｜及流场厚度参数ｋ０     

Airborne measurements of the ocean's Ku‐band radar cross‐section at low incidence angles

Abstract

Ocean backscatter data obtained with a K_u‐band airborne radar are presented along with coincident altimeter and directional wave spectral estimates. These data were collected using one sensor, NASA's radar ocean wave spectrometer (ROWS). The measurements are compared with an electromagnetic scattering model for perfectly conducting Gaussian random surfaces. The normalized radar cross‐section (NRCS) data cover those incidence angles (0–20°) where both quasi‐specular and Bragg scattering mechanisms are expected. Under certain conditions, identification and separation of these two mechanisms is possible. The scanning radar allows observations of the azimuthal variations in NRCS that are at times indicative of short‐scale wave generation in the wind direction.     

Wave-dependence of friction velocity,roughness length,and drag coefficient over coastal and open water surfaces by using three databases

The parameterization of friction velocity, roughness length, and the drag coefficient over coastal zones and open water surfaces enables us to better understand the physical processes of air-water interaction. In context of measurements from the Humidity Exchange over the Sea Main Experiment (HEXMAX), we recently proposed wave-parameter dependent approaches to sea surface friction velocity and the aerodynamic roughness by using the dimensional analysis method. To extend the application of these approaches to a range of natural surface conditions, the present study is to assess this approach by using both coastal shallow (RASEX) and open water surface measurements (Lake Ontario and Grand Banks ERS-1 SAR) where wind speeds were greater than 6.44 m s^-1. Friction velocities, the surface aerodynamic roughness, and the neutral drag coefficient estimated by these approaches under moderate wind conditions were compared with the measurements mentioned above. Results showed that the coefficients in these approaches for coastal shallow water surface differ from those for open water surfaces, and that the aerodynamic roughness length in terms of wave age or significant wave height should be treated differently for coastal shallow and open water surfaces.     

Analysis of marine radar image spectra collected during the grand banks ERS‐1 SAR wave experiment

Abstract

Remote measurements of wave spectra were made using MacLaren Plansearch's Marine Radar Wave Measuring System (Macrada^©) for the duration of the ERS‐1 Grand Banks Experiment (10–27 November 1991). The system consists of a Furuno X‐band marine navigation radar and a personal computer. The system was installed and operated onboard the BIO Research vessel CSS Hudson during the experiment. The radar system provides fully directional wave spectra in real time (within minutes of image acquisition) as well as archiving of the raw images for future analysis. During each of the satellite overpasses, excellent data were collected, covering a variety of wave conditions.

This paper describes the data analysis procedures and presents the results of the experiment. In addition, a sensitivity analysis is carried out to study: (1) sensitivity to the number of radar images processed on the resultant spectra, (2) effect of missing one or more images in a dataset, and (3) sensitivity to azimuth angle variation. Finally, the results are compared with corresponding directional wave spectra from other sensors (such as WAVEC Buoy and ERS‐1 SAR).