Interaction of Waves and Currents.

Peregrine, D. H.; Jonsson, Ivar G.

doi:10.21236/ada128551

Cited by 36 publications

(21 citation statements)

References 72 publications

(118 reference statements)

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“…Wave height and steepness could increase due to a strong opposing current (Kharif & Pelinovsky, ; Onorato et al, ; Toffoli et al, ). Currents can also alter the dispersion relation and spatially focus wave energy, forming rogue waves (Heller et al, ; Lavrenov, ; Peregrine, ).…”

Section: Resultsmentioning

confidence: 99%

Can Rogue Waves Be Predicted Using Characteristic Wave Parameters?

et al. 2018

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Rogue waves are ocean surface waves larger than the surrounding sea that can pose a danger to ships and offshore structures. They are often deemed unpredictable without complex measurement of the wavefield and computationally intensive calculation, which is infeasible in most applications; consequently, there a need for fast predictors. Here we collate, quality control, and analyze the largest data set of single‐point field measurements from surface following wave buoys to search for predictors of rogue wave occurrence. We find that analysis of the sea state parameters in bulk yields no predictors, as the subset of seas containing rogue waves sits within the set of seas without. However, spectral bandwidth parameters of rogue seas display different probability distributions to normal seas, but these parameters are rarely provided in wave forecasts. When location is accounted for, trends can be identified in the occurrence of rogue waves as a function of the average sea state characteristics at that location. These trends follow a power law relationship with the characteristic sea state parameters: mean significant wave height and mean zero upcrossing wave period. We find that frequency of occurrence of rogue waves and their generating mechanism is not spatially uniform, and each location is likely to have its own unique sensitivities, which increase in the coastal seas. We conclude that forecastable predictors of rogue wave occurrence will need to be location specific and reflective of their generation mechanism. Therefore, given location and a sufficiently long historical record of sea state characteristics, the likelihood of occurrence can be obtained for mariners and offshore operators.

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Section: Resultsmentioning

confidence: 99%

Can Rogue Waves Be Predicted Using Characteristic Wave Parameters?

et al. 2018

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“…where the dispersion relation ω(k; α(x, t)) and the wave action density A(a, k; α(x, t)) depend on the system under study with α(x, t) being a set of slowly varying coefficients describing nonhomogeneous non-stationary media that include the effects of the prescribed mean flow, e.g., the current. Equations (1) were applied to the description of the interaction of water waves with a steady current in (Longuet-Higgins & Stewart, 1961;Peregrine, 1976;Phillips, 1980;Peregrine & Jonsson, 1983;Whitham, 1999;Mei et al, 2005;Bühler, 2009;Gallet & Young, 2014). We briefly outline some classical results from the above references relevant to the developments in this paper.…”

Section: Introductionmentioning

confidence: 99%

Interaction of linear modulated waves and unsteady dispersive hydrodynamic states with application to shallow water waves

Congy

Hoefer

2019

J. Fluid Mech.

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A new type of wave-mean flow interaction is identified and studied in which a smallamplitude, linear, dispersive modulated wave propagates through an evolving, nonlinear, largescale fluid state such as an expansion (rarefaction) wave or a dispersive shock wave (undular bore). The Korteweg-de Vries (KdV) equation is considered as a prototypical example of dynamic wavepacket-mean flow interaction. Modulation equations are derived for the coupling between linear wave modulations and a nonlinear mean flow. These equations admit a particular class of solutions that describe the transmission or trapping of a linear wave packet by an unsteady hydrodynamic state. Two adiabatic invariants of motion are identified that determine the transmission, trapping conditions and show that wavepackets incident upon smooth expansion waves or compressive, rapidly oscillating dispersive shock waves exhibit so-called hydrodynamic reciprocity recently described in Maiden et al. (2018) in the context of hydrodynamic soliton tunnelling. The modulation theory results are in excellent agreement with direct numerical simulations of full KdV dynamics. The integrability of the KdV equation is not invoked so these results can be extended to other nonlinear dispersive fluid mechanic models.

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“…The electromagnetic part of the problem is currently well understood and efficient numerical models are available to predict the microwave radiation [ Irisov , 1997, 2000]. The fluid‐mechanical problem of surface wave interaction with currents has a long history, see reviews by Peregrine [1976] and Peregrine and Jonsson [1983]. Significant insights have been obtained by theoretical analysis of waves on currents with velocity depending on only one coordinate [ Longuet‐Higgins and Stewart , 1960, 1961; McKee , 1974; Basovich and Talanov , 1977; Hughes , 1978; Basovich et al , 1987; Thompson et al , 1988; Gotwols et al , 1988; Trulsen et al , 1990; Maltseva et al , 1995; van der Kooij et al , 1995].…”

Section: Introductionmentioning

confidence: 99%

A perturbation model of radiometric manifestations of oceanic currents

Godin

Irisov

2003

Radio Science

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[1] Extracting quantitative oceanographic information from microwave images of the ocean surface requires a physical understanding and an efficient mathematical model of surface wave interaction with currents. In this paper, we consider ''weak'' currents (with velocities up to a few tens of centimeters per second) and discuss a perturbation approach that leads to numerically efficient models of surface roughness modulation by the current fields with arbitrary dependence on horizontal coordinates and time. With the wave-atmosphere interaction being described within the relaxation approximation, closed-form analytic expressions are obtained for surface roughness modulation. The hydrodynamic theory is combined with an electromagnetic model based on the small-slope approximation to simulate microwave emission from the ocean surface. Analysis of the theoretical results demonstrates that the physics of surface wave interaction with time-dependent currents, which are inhomogeneous in two spatial dimensions, is more rich and complex than is suggested by the one-dimensional models considered theoretically in the past. Of particular interest for remote sensing is the finding that realistic two-dimensionally inhomogeneous currents, unlike their onedimensional models, can produce perturbations in microwave brightness temperature that extend well beyond the current field itself. Our model suggests that microwave brightness temperature measurements should be a sensitive tool of observing and quantitatively evaluating surface currents in the ocean.INDEX TERMS: 0659 Electromagnetics: Random media and rough surfaces; 4275 Oceanography: General: Remote sensing and electromagnetic processes (0689); 4512 Oceanography: Physical: Currents; 4560 Oceanography: Physical: Surface waves and tides (1255); 6959 Radio Science: Radio oceanography; KEYWORDS: wave-current interaction, microwave remote sensing, surface roughness modulation, thermal radiation, small-slope approximation, surface wave spectrum Citation: Godin, O. A., and V. G. Irisov, A perturbation model of radiometric manifestations of oceanic currents,

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Interaction of Waves and Currents.

Cited by 36 publications

References 72 publications

Can Rogue Waves Be Predicted Using Characteristic Wave Parameters?

Can Rogue Waves Be Predicted Using Characteristic Wave Parameters?

Interaction of linear modulated waves and unsteady dispersive hydrodynamic states with application to shallow water waves

A perturbation model of radiometric manifestations of oceanic currents

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