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Journal ArticleDOI

Wave Kinematics Computed With the Nonlinear Schrödinger Method for Deep Water

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This article is published in Journal of Offshore Mechanics and Arctic Engineering-transactions of The Asme.The article was published on 1999-05-01. It has received 7 citations till now. The article focuses on the topics: Dispersion (water waves).

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Citations
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Experimental velocities and accelerations in very steep wave events in deep water

TL;DR: In this article, the entire experimental velocity and acceleration fields in the six steepest cases of a campaign of totally 122 large wave events in deep water are documented, where totally 36000 experimental velocity vectors are put on non-dimensional form using a suitable reference velocity defined by ϵg/k, where k and ϵ are obtained as follows: from the wave record at a fixed position the local trough-to-trough period, TTT and the maximal elevation of the event above mean sea level, ζm are defined.
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Wave modulation: the geometry, kinematics, and dynamics of surface-wave packets

TL;DR: In this paper, Dysthe et al. examined the geometry, kinematics, and dynamics of weakly nonlinear narrowbanded deep-water wave packets governed by the modified nonlinear Schrodinger equation.
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The nonlinear Schrödinger method for water wave kinematics on finite depth

TL;DR: In this article, the nonlinear Schrodinger method was used for fast and accurate computation of the velocity and acceleration fields under irregular ocean surface waves on finite depth, and applied it to laboratory and field data.
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Variational Boussinesq model for kinematics calculation of surface gravity waves over bathymetry

TL;DR: In this article, a non-perturbative approach based on the fully nonlinear Variational Boussinesq model is proposed to calculate the water particle kinematics in the fluid interior.

Properties of nonlinear and breaking deep-water surface waves

Nick Pizzo
TL;DR: In this paper, a scaling argument for the relationship between the generated circulation and the variables characterizing the breaking wave was developed, and the scaling argument was compared to limited laboratory experiments, and good agreement was found.
References
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Journal ArticleDOI

A modified nonlinear Schrödinger equation for broader bandwidth gravity waves on deep water

TL;DR: In this article, the modified nonlinear Schrodinger equation of Dysthe is extended by relaxing the narrow bandwidth constraint to make it more suitable for application to a realistic ocean wave spectrum.

Method for Calculating Forces Produced by Irregular Waves

J. D. Wheeler
TL;DR: In this article, a new method is described and evaluated for calculating wave forces on offshore structures based on an extension of Airy theory for two-dimensional waves and uses a linear filtering technique to calculate wave forces as a function of time for wave profiles of arbitrary shape and length.
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Method for calculating forces produced by irregular waves

TL;DR: In this paper, a new method is described and evaluated for calculating wave forces on offshore structures based on an extension of Airy theory for two-dimensional waves and uses a linear filtering technique to calculate wave forces as a function of time for wave profiles of arbitrary shape and length.
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A unified two-parameter wave spectral model for a general sea state

TL;DR: Based on theoretical analysis and laboratory data, the authors proposed a unified two-parameter wave spectral model as is the mean squared surface elevation, and λ 0, n0 are the wavelength and frequency of the waves at the spectral peak.
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Fourth order evolution equations and stability analysis for Stokes waves on arbitrary water depth

TL;DR: In this article, the authors derived fourth order evolution equations for three-dimensional Stokes waves on arbitrary water depth and demonstrated that dimensionless water depth as well as wave steepness influences the applicability of the deep water stability expressions.
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