Nonlinear standing water waves generated in a closed numerical flume

Paprota, Maciej

doi:10.1016/j.oceaneng.2020.108326

Cited by 2 publications

(1 citation statement)

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“…It is a rather complicated set of formulae with semi-empirical coefficients for many influences like impulsive wave impacts, oblique waves, sloping bed, and presence of a berm. For pulsating normally incident waves at structures on a horizontal bed without berm (for structures like sea locks, discharge sluices, or quay walls) the formula for the pressure at SWL reduces to equation 1, as given by Paprota (2021). The alpha factors representing the effect of a berm and impulsive loading are equal to 0.6 for α1 and 0.0 for α2 (factor for presence of rubble mound foundation) and α3 (factor for pressure distribution) (Goda, 1992), These factors are not relevant for the evaluation of the wave force for incident waves and structures on a horizontal bed without berm.…”

Section: Introduction 1backgroundmentioning

confidence: 99%

Evaluation and validation of the spectral linear wave theory and ‘traditional’ formulae for pulsating wave loads for unimodal and bimodal seas

Tuin,

Voortman,

Hofland

et al. 2022

Journal of Coastal and Hydraulic Structures

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For the design of vertical hydraulic structures pulsating wave forces need to be calculated. The total wave force is a result of every wave component (long waves and short waves) within a wave field. The common formulae are derived for regular or unimodal narrow sea states and use one characteristic wave height and period. Broad-banded spectra like bimodal sea states are present at many locations. Moreover, new hydraulic structures like Panamax or post-Panamax locks do have a large vertical surface exposed to pulsating wave loads. Swell components within the wave spectrum are disproportionally contributing to the total wave force compared to short waves. This depth effect for broad-banded or bimodal wave spectra is not considered by the traditional wave formulae which could result in significant underestimations of wave forces on hydraulic structures. This paper aims to determine the wave loads of irregular non-breaking wave fields under any wave spectrum: narrow banded, broad-banded, or bimodal. Spectral linear wave theory (LWT) is used to transform any wave spectrum to a wave force spectrum. The wave force or wave pressure at any level can directly be evaluated from the wave force spectrum or wave pressure spectrum for any shape of the wave spectrum considered within this research. Spectral LWT is compared to the outcome of wave flume experiments with bimodal seas and other wave force formulae, like the Goda formula and quasi-regular LWT and the NewWave theory. This paper gives a description and evaluation of the spectral LWT applied for bimodal wave spectra and a comparison of the accuracy and validity of other wave force formulae. The peak forces and peak pressures distribution obtained by spectral wave theory compare well to the measurements. It appears that the use of a spectral LWT to obtain characteristic extreme forces improves the accuracy of the extreme load more than the use of a second order wave model with a quasi-regular assumption (i.e. where the spectral shape is not considered). For the typical conditions that occur at hydraulic structures (horizontal bed, intermediate to deep water, non-breaking, and uni- and bimodal seas) the often-used Goda formula can both under of overestimate the peak loads. Goda is well applicable for conditions with (breaking) waves narrow wave spectra and values of kph <0.5.

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Section: Introduction 1backgroundmentioning

confidence: 99%