Observation-Consistent Input and Whitecapping Dissipation in a Model for Wind-Generated Surface Waves: Description and Simple Calculations

2012 ◽  
Vol 29 (9) ◽  
pp. 1329-1346 ◽  
Author(s):  
W. Erick Rogers ◽  
Alexander V. Babanin ◽  
David W. Wang

Abstract A new wind-input and wind-breaking dissipation for phase-averaged spectral models of wind-generated surface waves is presented. Both are based on recent field observations in Lake George, New South Wales, Australia, at moderate-to-strong wind-wave conditions. The respective parameterizations are built on quantitative measurements and incorporate new observed physical features, which until very recently were missing in source terms employed in operational models. Two novel features of the wind-input source function are those that account for the effects of full airflow separation (and therefore relative reduction of the input at strong wind forcing) and for nonlinear behavior of this term. The breaking term also incorporates two new features evident from observational studies; the dissipation consists of two parts—a strictly local dissipation term and a cumulative term—and there is a threshold for wave breaking, below which no breaking occurs. Four variants of the dissipation term are selected for evaluation, with minimal calibration to each. These four models are evaluated using simple calculations herein. Results are generally favorable. Evaluation for more complex situations will be addressed in a forthcoming paper.

Author(s):  
W. Kendall Melville ◽  
Lenonel Romero ◽  
Jessica Kleiss

The Gulf of Tehuantepec is well known for having strong offshore winds, which occur predominantly during the winter months when significant atmospheric pressure differences develop between the Gulf of Mexico and the Pacific Ocean, forcing winds through a mountain gap at the head of the gulf. During the Gulf of Tehuantepec Experiment (GOTEX), conducted in February 2004, we collected surface-wave and wave-breaking measurements using a conical scanning lidar (NASA Airborne Terrain Mapper, ATM) and a downward-looking video camera on the NSF/NCAR C-130 aircraft. We present ATM observations of surface waves as well as statistical and spectral descriptions of the wave field. We also present measurements of the occurrence and strength of breaking using digital video data to identify actively breaking waves. In order to infer the dynamics of breaking from simple physical models, the kinematics of the breaking must be separated from the kinematics of the underlying waves. This is done using linear and nonlinear estimates of the underlying orbital velocities from the spatio-temporal surface displacement data measured by the ATM. Nonlinear estimation of the orbital velocities is described in a companion paper in this symposium (Grue et al., OMAE 2008). Frequent breaking is observed under the strong wind forcing. Examples of the spatial structure of waves are compared to simultaneous video imagery, giving an indication of the scale at which wave breaking occurs. The GOTEX observations, to almost full wave development, are tested against the latest wind-wave numerical spectral models that include the effects of wave generation, nonlinear wave-wave interactions and wave dissipation due to breaking. This paper is dedicated to Nick Newman by the lead author in appreciation of Nicks encouragement and assistance when he (WKM) moved to MIT in the early 1980s.


1978 ◽  
Vol 5 (1) ◽  
pp. 101 ◽  
Author(s):  
RS Mcinnes ◽  
PB Carne

Eucalyptus grandis is the preferred food of larvae of the cossid moth Xyleutes boisduvali. In the Coffs Harbour region of New South Wales, plantations of E. grandis established in the last 10 years for pulping have allowed a great increase in the population of cossids. Woodboring larvae, especially of X. boisduvali and of the cerambycid beetle Tryphocaria acanthocera, are eaten by the yellow-tailed black cockatoo (Calyptorhynchus funereus). Cerambycids live near the surface of the tree, but cossids live in the heartwood and excavation by the cockatoos may weaken the tree so that it snaps in strong wind. The life of the cossid is described in detail; it is a larva for 2 years, may reach 18 cm in length and was highly prized as food by aborigines. Feeding habits of free cockatoos and a captive are described. The bird searches for a frass hole and tests its size by biting. If the size of the hole indicates a fully grown larva, the bird pulls down a strip of bark on which to stand as it excavates. Cossids are eaten at any time of year but mainly in June and July when final instar larvae are most plentiful and the young birds leave the nest and accompany the parents to the plantations. Before the E. grandis plantations were established, the cockatoos often ate seeds of Punis spp. as they do in South Australia. They eat also larvae of a chalcidid gall-wasp and non-boring insects. Formerly the cockatoos controlled the borer population and some thinning of the trees did no harm, but modern plantations are spaced for optimum growth and up to 40% of trees may be lost by cockatoo damage. Proposed methods of control are to reduce cossid infestation by preventing stress to very young trees, using selective weedkillers and fertilizer, and to encourage undergrowth of wood perennials. Because of the flight characteristics of cockatoos they do not forage among undergrowth and are kept away from the lower parts of the trees, where the cossids are. ADDITIONAL ABSTRACT: Wood-boring insect larvae are eaten by the yellow-tailed black cockatoo (Calyptorhynchus funereus). In the Coffs Harbour region of New South Wales, the birds extract larvae of the cossid moth Xyleutes boisduvali Roths. from the trunks of Eucalyptus grandis, a species extensively grown in that area for pulpwood production. In gouging out the larvae, the birds weaken the trees, which may be snapped off by strong winds. Losses of up to 40% of the trees in a plantation have been recorded.The biology and behaviour of both the insect and the bird are discussed. Physiological stress, particularly competition with grasses, predisposes young trees to infestation by the cossid. The birds systematically search for trees containing cossid galleries, and excavate at least 50% of the larvae. Tree losses can be reduced by silvicultural methods that reduce stress on young trees, and that encourage the development of a vigorous understorey of woody perennials. The flight characteristics of the cockatoo are such that the birds will not forage for cossids in plantations where undergrowth impedes their access to the lower portions of the tree trunks where the insects predominantly occur.


2007 ◽  
Vol 37 (11) ◽  
pp. 2764-2775 ◽  
Author(s):  
Alexander V. Babanin ◽  
Michael L. Banner ◽  
Ian R. Young ◽  
Mark A. Donelan

Abstract This is the third in a series of papers describing wave-follower observations of the aerodynamic coupling between wind and waves on a large shallow lake during the Australian Shallow Water Experiment (AUSWEX). It focuses on the long-standing problem of the aerodynamic consequences of wave breaking on the wind–wave coupling. Direct field measurements are reported of the influence of wave breaking on the wave-induced pressure in the airflow over water waves, and hence the energy flux to the waves. The level of forcing, measured by the ratio of wind speed to the speed of the dominant (spectral peak) waves, covered the range of 3–7. The propagation speeds of the dominant waves were limited by the water depth and the waves were correspondingly steep. These measurements allowed an assessment of the magnitude of any breaking-induced enhancement operative for these field conditions and provided a basis for parameterizing the effect. Overall, appreciable levels of wave breaking occurred for the strong wind forcing conditions that prevailed during the observational period. Associated with these breaking wave events, a significant phase shift is observed in the local wave-coherent surface pressure. This produced an enhanced wave-coherent energy flux from the wind to the waves with a mean value of 2 times the corresponding energy flux to the nonbreaking waves. It is proposed that the breaking-induced enhancement of the wind input to the waves can be parameterized by the sum of the nonbreaking input and the contribution due to the breaking probability.


2020 ◽  
Vol 50 (2) ◽  
pp. 439-454
Author(s):  
Dorukhan Ardag ◽  
Donald T. Resio

AbstractA robust spectral dissipation term for wind waves has long been a goal of detailed-balance spectral modeling and is represented by many different approximations in spectral models of random wave fields. A Monte Carlo approach is employed here to create a random-phase sea surface that is used to simulate the distribution of horizontal surface velocities at the sea surface and to relate these velocities to deep-water wind wave breaking. Results are consistent with many recent studies that show a kinematic-based breaking criterion can provide a consistent depiction of the onset of wave breaking. This criterion is combined with the calculated nonlinear flux rates to estimate a transition point within a spectrum at which a spectrum changes from an f−4 equilibrium-range form to an f−5 region dominated by dissipation, potentially an important factor within several air–sea interaction mechanisms, turbulence at the sea surface, and remote sensing applications. It also has the potential to improve operational modeling capabilities.


2021 ◽  
Vol 13 (16) ◽  
pp. 3321
Author(s):  
Pavel D. Pivaev ◽  
Vladimir N. Kudryavtsev ◽  
Aleksandr E. Korinenko ◽  
Vladimir V. Malinovsky

The results of field observations of breaking of surface spectral peak waves, taken from an oceanographic research platform, are presented. Whitecaps generated by breaking surface waves were detected using video recordings of the sea surface, accompanied by co-located measurements of waves and wind velocity. Whitecaps were separated according to the speed of their movement, c, and then described in terms of spectral distributions of their areas and lengths over c. The contribution of dominant waves to the whitecap coverage varies with the wave age and attains more than 50% when seas are young. As found, the whitecap coverage and the total length of whitecaps generated by dominant waves exhibit strong dependence on the dominant wave steepness, ϵp, the former being proportional to ϵp6. This result supports a parameterization of the dissipation term, used in the WAM model. A semi-empirical model of the whitecap coverage, where contributions of breaking of dominant and equilibrium range waves are separated, is suggested.


2000 ◽  
Vol 87 (4) ◽  
pp. 1908-1913 ◽  
Author(s):  
Qi Wang ◽  
Zhong Wu ◽  
Songmao Li ◽  
Li-qiang Wang

2010 ◽  
Vol 40 (3) ◽  
pp. 466-486 ◽  
Author(s):  
Leonel Romero ◽  
W. Kendall Melville

Abstract During the Gulf of Tehuantepec Experiment (GOTEX), conducted in February 2004, surface-wave measurements were collected using a scanning lidar [Airborne Topographic Mapper (ATM)] on the National Science Foundation (NSF)/NCAR C-130 aircraft during fetch-limited conditions with winds speeds ranging from 10 to 25 m s−1. The authors present direct comparisons between the observed evolution of the wave field and numerical simulations using a parameterization of the wave energy dissipation. For low and intermediate wavenumbers, the dissipation corresponds to the saturation-based parameterization by Alves and Banner. However, at higher wavenumbers, their formulation cannot maintain saturation of the spectrum. Here, the authors use a dissipation term that forces the spectrum to match the empirical degree of saturation and explicitly balances the wind input and the nonlinear energy fluxes. All model simulations were carried out with “exact” computations of the nonlinear energy transfer because of four-wave resonant interactions and two empirical wind input functions. There is a good agreement for the integral parameters between the observations and the simulations, with root-mean-square (rms) errors between 5% and 12%. The tail of the computed omnidirectional wavenumber spectrum ϕ(k) can be approximated by two ranges: an equilibrium range, where ϕ ∝ k−5/2, and a saturation range, where ϕ = Bk−3, where B is the empirically determined degree of saturation. However, within the equilibrium range, the modeled ϕ overestimates the energy with rms errors between 20% and 50%, and the computed spectra are found to be narrower than the observations by about 10°. Similarly, the modeled bimodal directional distributions, at wavenumbers higher than the spectral peak, exhibit lobe separations and amplitudes that are consistently smaller than the observations. The lobe separation of the bimodal directional distribution for all simulations approximately scales with the square root of the wave age, which is consistent with the observations. The reasons for differences between the measurements and the simulations are discussed.


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