Return period of nonlinear high wave crests

Arena, Felice; Pavone, Diego

doi:10.1029/2005jc003407

Cited by 38 publications

(22 citation statements)

References 41 publications

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“…In the Mediterranean Sea, the storm threshold may be considered even equal to 1.5 m: this value cannot be considered in most locations in the oceans. A general definition of sea storm was proposed by Boccotti [4][5][6][7].…”

Section: Introductionmentioning

confidence: 99%

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Effects of Sampling between Data of Significant Wave Height for Intensity and Duration of Severe Sea Storms

Arena

Laface²,

Barbaro³

et al. 2013

IJG

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The paper deals with the analysis of severe storms in the central Mediterranean Sea and in the US coasts of the Atlantic and Pacific Ocean. Firstly, we introduce a model for the representation of the sea storms by means of two parameters: the former is given by the maximum value of significant wave height in the actual storm and defines the storm intensity, the latter gives the storm duration. The analysis considers buoy data with different sampling Δt between two consecutive records, which varies in the range 0.5 -6 hours. The sensitivity analysis of the modelled sea storm with the variation of Δt shows as the structure of storms is strongly modified with large values of Δt of order of 3 -6 hours: both the intensity and the duration may change significantly. The results are of interest to investigate the extreme events in the storms obtained with WAve Model, starting from meteorological data, where the value of Δt of 6 hours is widely applied. The conclusion is that structure of severe storms should be represented with continuous data, with Δt = 0.5 hours; a good representation is also obtained with Δt = 1 hour. The errors with increasing values of Δt are investigated.

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Section: Introductionmentioning

confidence: 99%

“…Both models enable to determine, with an analytical approach, the long-term statistics of severe storms [4][5][6][7]10]. A key parameter for these approaches is given by the storm duration, which is estimated by starting from the sequence of storms in a given location (considering a time span greater than several years).…”

Section: Introductionmentioning

confidence: 99%

Effects of Sampling between Data of Significant Wave Height for Intensity and Duration of Severe Sea Storms

Arena

Laface²,

Barbaro³

et al. 2013

IJG

Self Cite

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show abstract

“…Nevertheless, it was seen by processing hundreds of data that even the distributions are quite close to each other. Thus, real storm statistics can be investigated by their EPS counterparts, as they are equivalent in a probabilistic sense [21,[29][30][31][32][33]. The EPS shape is commonly determined a priori.…”

Section: The Equivalent Power Storm Modelmentioning

confidence: 99%

“…Specifically, for the three-parameter Weibull distribution of Equation (11), the values summarized in Table 1 are calculated. For the average conditional base ( ) b a , the calculation is pursued by the approach proposed by Arena and Pavone [29], which approximates the conditional base with a mean base calculated from the processed data. The parameters are given in Table 2 for EPS with various λ values.…”

Section: Preliminary Calculation Of Wave Data Statisticsmentioning

confidence: 99%

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Estimation of Downtime and of Missed Energy Associated with a Wave Energy Converter by the Equivalent Power Storm Model

et al. 2015

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Abstract:The design of any wave energy converter involves the determination of relevant statistical data on the wave energy resource oriented to the evaluation of the structural reliability and energy performance of the device. Currently, limited discussions concern the estimation of parameters connected to the energy performance of a device. Thus, this paper proposes a methodology for determining average downtime and average missed energy, which is the energy that is not harvested because of device deactivations during severe sea storms. These quantities are fundamental for evaluating the expected inactivity of a device during a year or during its lifetime and are relevant for assessing the effectiveness of a device working at a certain site. For this purpose, the equivalent power storm method is used for their derivation, starting from concepts pertaining to long-term statistical analysis. The paper shows that the proposed solutions provide reliable estimations via comparison with results obtained by processing long wave data.

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On Adler space‐time extremes during ocean storms

Romolo

Arena

2015

JGR Oceans

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The paper concerns the statistical properties of extreme ocean waves in the space‐time domain. In this regard, a solution for the exceedance probability of the maximum crest height during a sea state over a certain area is obtained. The approach is based on the Adler's solution for the extremal probability for Gaussian random processes in a multidimensional domain. The method is able to include the effects of spatial variability of three‐dimensional sea waves on short‐term prediction, both over an assigned area XY and in a given direction. Next, the storm‐term predictions in the space‐time are investigated. For this purpose, the exceedance probability of ηmax⁡ during an ocean storm over an assigned area A is derived. This solution gives a generalization to the space‐time of the Borgman's time‐based model for nonstationary processes. The validity of the model is assessed from wave data of two buoys of the NOOA‐NDBC network located along the Pacific and the Atlantic U.S. coasts. The results show that the size of the spatial domain A remarkably influences the expected maximum crest height during a sea storm. Indeed, the exceedance probabilities of the maximum crest height during an ocean storm over a certain area significantly deviate from the classical Borgman's model in time for increasing area. Then, to account for the nonlinear contributions on crest height, the proposed model is exploited jointly with the Forristall's distribution for nonlinear crest amplitudes in a given sea state. Finally, Monte Carlo simulations of a sea storm are performed showing a very good agreement with theoretical results.

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Return period of nonlinear high wave crests

Cited by 38 publications

References 41 publications

Effects of Sampling between Data of Significant Wave Height for Intensity and Duration of Severe Sea Storms

Effects of Sampling between Data of Significant Wave Height for Intensity and Duration of Severe Sea Storms

Estimation of Downtime and of Missed Energy Associated with a Wave Energy Converter by the Equivalent Power Storm Model

On Adler space‐time extremes during ocean storms

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