Initial wave breaking dynamics of Peregrine-type rogue waves: A numerical and experimental study

Perić, Robinson; Hoffmann, Norbert; Chabchoub, Amin

doi:10.1016/j.euromechflu.2014.07.002

Cited by 43 publications

(15 citation statements)

References 33 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This section demonstrates that, if n is larger than a certain threshold, then the theory results can be considered independent of n. Thus also the wave damping in flow simulations is basically grid-independent, if the number n of grid cells, by which the forcing zone is discretized in wave propagation direction, is above the same threshold. 26 shows that for subdivision into less than 16 zones, the results differ significantly from the results for > 32 zones. This is relevant when assessing flow simulations, in which a combination of grid stretching and forcing zones is used to damp the waves; in industrial practice, these two wave damping approaches are sometimes combined with the intention to lower the computational effort and to improve the damping.…”

Section: Resultsmentioning

confidence: 70%

Analytical prediction of reflection coefficients for wave absorbing layers in flow simulations of regular free-surface waves

Perić

Abdel‐Maksoud

2018

Ocean Engineering

View full text Add to dashboard Cite

Undesired wave reflections, which occur at domain boundaries in flow simulations with free-surface waves, can be minimized by applying source terms in the vicinity of the boundary to damp the waves. Examples of such approaches are absorbing layers, damping zones, forcing zones, relaxation zones and sponge layers. A problem with these approaches is that the effectivity of the wave damping depends on the parameters in the source term functions, which are case-dependent and must be adjusted to the wave. The present paper presents a theory which analytically predicts the reflection coefficients and which can be used to optimally select the source term parameters before running the simulation. The theory is given in a general form so that it is applicable to many existing implementations. It is validated against results from finite-volume-based flow simulations of regular free-surface waves and found to be of satisfactory accuracy for practical purposes.

show abstract

Section: Resultsmentioning

confidence: 70%

Analytical prediction of reflection coefficients for wave absorbing layers in flow simulations of regular free-surface waves

Perić

Abdel‐Maksoud

2018

Ocean Engineering

View full text Add to dashboard Cite

show abstract

“…[52] Mathematically, localized solutions of Equation 28 have a hierarchy of rational solutions that represent a class of special solitons localized in space as well as in time. The modulational instability through analytical solutions of NLSE is thought to be a fundamental source of such extremely high amplitude waves.…”

Section: Localized Solution Of Nlsementioning

confidence: 99%

“…Later, numerical results supported this hypothesis. [52] Mathematically, localized solutions of Equation 28 have a hierarchy of rational solutions that represent a class of special solitons localized in space as well as in time. Various types of localized solutions are known as breathers, namely, AB, KM breather soliton, and Peregrine solitons (or RWs).…”

Section: Localized Solution Of Nlsementioning

confidence: 99%

Breather structures in a plasma with warm ions and Cairns electrons

Shan

2018

Contributions to Plasma Physics

View full text Add to dashboard Cite

The modulational instability (MI) of ion-acoustic waves (IAWs) in a two-component non-Maxwellian hot plasma with Cairns distributed electrons is investigated. Using the derivative expansion method, a non-linear Schrödinger equation (NLSE) is obtained. The criterion for MI, which occurs for small values of the carrier wavenumber, is obtained. It is found that non-thermal parameter modifies the criteria for MI instability. The analytical solutions of NLSE in the form of various types of freak waves, including the Peregrine soliton, the Akhmediev breather, and the Kuznetsov-Ma breather, are examined. The effects of the non-thermal parameter as well as ion-to-electron temperature ratio on the rogue wave profile are discussed. Our results should be relevant to wave propagation stability. Non-thermal models may play an increasingly important role in predicting complex plasma behaviour and understanding the underlying physical processes. KEYWORDSAkhmediev breather, breathers, Kuznetsov-Ma breather, Peregrine soliton 1

show abstract

“…Onorato et al (2013) adopted the Peregrine breather solution to study the interaction between rogue waves and a scaled chemical tanker in a wave tank. Besides the experimental studies, Peric et al (2015) carried out numerical investigations of the Peregrine breather dynamics up to the initial stages of wave breaking and paid attentions to the sub-surface flow field. Hu et al (2015) performed a series of simulations on the rogue waves based on the Peregrine breather solution in a numerical wave tank.…”

Section: Introductionmentioning

confidence: 99%

Experimental investigation on rogue waves and their impacts on a vertical cylinder using the Peregrine breather model

Deng

Yang

Tian

et al. 2015

Ships and Offshore Structures

View full text Add to dashboard Cite

This paper presents an experimental investigation on the rogue waves and the corresponding wave forces acting on a vertical cylinder. The waves are modelled using the Peregrine breather solution of the third-order nonlinear Schrödinger equation. The experimental wave elevations are compared with the theoretical solutions, and the behaviours of wave energy distribution and evolution are calculated using the fast Fourier transformation and wavelet transform (WT) methods. The resulting wave forces acting on the vertical cylinder are compared with the numerical results based on potential flow calculations. Moreover, coherence analyses are conducted for the rogue waves and their impact forces acting on the cylinder based on the WT.

show abstract

Initial wave breaking dynamics of Peregrine-type rogue waves: A numerical and experimental study

Cited by 43 publications

References 33 publications

Analytical prediction of reflection coefficients for wave absorbing layers in flow simulations of regular free-surface waves

Analytical prediction of reflection coefficients for wave absorbing layers in flow simulations of regular free-surface waves

Breather structures in a plasma with warm ions and Cairns electrons

Experimental investigation on rogue waves and their impacts on a vertical cylinder using the Peregrine breather model

Contact Info

Product

Resources

About