Similarity of the wind wave spectrum in finite depth water part 2: Statistical relations between shape and growth stage parameters

Bouws, E.; Günther, Helmut; Rosenthal, Wolfgang; Vincent, C.

doi:10.1007/bf02328530

Cited by 22 publications

(11 citation statements)

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“…To estimate the parameters from observations, relations between the parameters and growth-stage variables are determined. The relations between nondimensional energy f and v and U/c do not compare well with the results of Bouws et al (1987) and they exhibit considerable variations with depth. The relation betweem f and "m, the dimensionless wave number, compares well with the results of Bouws et al (1987) and is nearly uniform over the depth range.…”

Section: _1 ••contrasting

confidence: 59%

“…The relations between nondimensional energy f and v and U/c do not compare well with the results of Bouws et al (1987) and they exhibit considerable variations with depth. The relation betweem f and "m, the dimensionless wave number, compares well with the results of Bouws et al (1987) and is nearly uniform over the depth range. Hence"m will be a convenient parameter to describe the development of wind-sea spectra in finite depth.…”

Section: _1 ••contrasting

confidence: 59%

“…From deep water wave measurements in Lake Ontario, Donelan et al (1985) Bouws et al (1987) analyzea'the spectral parameters € and as as functions of the three growth stage parameters v, U/ c and K m • The data used were from three different wave growth studies in finite depth (see Bouws et al, 1985). The results showed that there was a significant variation with depth for €, as -U/ c and €, as -v relations, but the as -K m relation had no explicit depth dependence and was given by is assumed and using a linear regression analysis with logarithmic scales the coefficients are calculated from the data set.…”

Section: Spectral and Growth Stage Parametersmentioning

confidence: 99%

“…The results showed that there was a significant variation with depth for €, as -U/ c and €, as -v relations, but the as -K m relation had no explicit depth dependence and was given by is assumed and using a linear regression analysis with logarithmic scales the coefficients are calculated from the data set. Following Bouws et al (1987) In Figure 3- is plotted along with (3.28) in Figure 3-13. The variation of energy is in good agreement with deep water observations of Donelan et al (1985).…”

Section: Spectral and Growth Stage Parametersmentioning

confidence: 99%

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Similarity relations of wind waves in finite depth

Vengayil¹

1988

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Three formulations for the rear face of a growing wind-sea spectrum in finite depth based on Phillips (1958), Toba (1972) and Donelan et al. (1985) are tested using spectral measurements from Lake St. Clair. Assuming spectral similarity in wave number space relations between the energy, equilibrium parameters and peak wave number are derived. Using a regression analysis, relations are obtained from the data and compared to the theoretical relations. Results indicate that the formulation based on a high-frequency /-4 tail (Toba, 1972 andDonelan et al., 1985) is better than the Phillips /-5 high-frequency tail. Based on the effective fetch formulation, wave propagation directions are calculated. Relations between the spectral parameters, growth-stage variables and fetch are also determined from the data. The relations indicate a weak dependence of the spectral parameters on depth. Various source terms in the energy balance equation for wave growth in finite depth water are estimated for two cases of wave evolution. The relative importance of wind input, bottom dissipation, white-capping dissipation and nonlinear transfer in the evolution of the spectra is analyzed.

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Section: _1 ••contrasting

confidence: 59%

Section: _1 ••contrasting

confidence: 59%

Section: Spectral and Growth Stage Parametersmentioning

confidence: 99%

Section: Spectral and Growth Stage Parametersmentioning

confidence: 99%

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Similarity relations of wind waves in finite depth

Vengayil¹

1988

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“…At full development, it will produce the Pierson-Moskowitz spectrum (Pierson and Moskowitz 1964). For finite depth conditions with a flat bottom, it will produce the TMA spectrum (Bouws et al 1985(Bouws et al , 1987 for a wind sea. It must be understood, however, that the spectral shape, in both frequency and direction space, is not constrained to a particular form.…”

mentioning

confidence: 99%

Hurricane Hindcast Methodology and Wave Statistics for Atlantic and Gulf Hurricanes from 1956 - 1975

Abel¹,

Tracy²,

Vincent³

et al. 1989

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Assessment of single‐instrument techniques for removing wave bias from Reynolds stress estimates

Young

Webster

2017

Limnology & Ocean Methods

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A new single-instrument method for removing wave bias from Reynolds stress estimates is proposed. Assuming that the wave motions and the pressure signal are spatially coherent, the method uses a linear filtration scheme to estimate the wave velocity at the instrument based on the pressure signal, and then the estimated velocity is subtracted from the measured velocity to arrive at a wave-free estimate of the Reynolds stress. The advantage of the proposed single-instrument technique is that it limits the financial and logistical issues associated with deploying a second instrument. The proposed method is compared to two frequencydomain-based single-instrument techniques and to a two-instrument method that uses the velocity signal at an adjacent instrument in a linear filtration scheme to estimate and remove the wave velocity. The methods are tested and compared using synthetic time series and field data collected in tidally driven shallow water flow in Wassaw Sound, Georgia and in deeper water currents in Monterey Bay, California. The method proposed in this study offers superior performance over the other single-instrument techniques in shallow water, comparing favorably with the two-instrument method. In deeper water, no single-instrument technique offers clearly superior performance.Hydrodynamics are known to impact a variety of ecological processes in estuaries including settlement (Abelson and Denny 1997; Lenihan 1999; Whitman and Reidenbach 2012), predator-prey interactions (Jackson et al. 2007;Webster and Weissburg 2009;Smee et al. 2010), food availability to the benthos (Butman et al. 1994), anti-predator behavior (Robinson et al. 2007), and species density and distribution (LauzonGuay and Scheibling 2007;. As a result, accurate measurements of flow characteristics, in particular the turbulent characteristics, are essential in aquatic environments because they are key to understanding contextspecificity in species interactions and community processes in addition to directly influencing the transfer of energy and fluid momentum in the near-bed environment.Instruments such as Acoustic Doppler Velocimeters (ADVs) allow for point measurements of the Reynolds shear stress and the Turbulent Kinetic Energy (TKE). However, as discussed in Shaw and Trowbridge (2001), such measurements in the coastal ocean environment are frequently contaminated by the signal due to energetic surface or internal waves that may contain several orders of magnitude more energy than the turbulent velocity fluctuations (Grant et al. 1984;Grant and Madsen 1986;Huntley and Hazen 1988;Trowbridge 1998;Kirincich and Rosman 2011). Of particular concern is the misalignment of the instrument coordinate axis with the true coordinate axis, which causes wave bias terms to significantly influence Reynolds stress estimates (Shaw and Trowbridge 2001).Several techniques have been proposed to alleviate the wave signal contamination. Among the most accepted are the family of two-instrument techniques following the velocity differencing methodolo...

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Similarity of the wind wave spectrum in finite depth water part 2: Statistical relations between shape and growth stage parameters

Cited by 22 publications

References 20 publications

Similarity relations of wind waves in finite depth

Similarity relations of wind waves in finite depth

Hurricane Hindcast Methodology and Wave Statistics for Atlantic and Gulf Hurricanes from 1956 - 1975

Assessment of single‐instrument techniques for removing wave bias from Reynolds stress estimates

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