Higher–order hydrodynamic modulation: theory and applications for ocean waves

2001 ◽  
Vol 457 (2015) ◽  
pp. 2585-2608 ◽  
Author(s):  
Tanos Elfouhaily ◽  
Donald R. Thompson ◽  
Douglas Vandemark ◽  
Bertrand Chapron
Keyword(s):  
Ocean Waves ◽  
Higher Order ◽  
Modulation Theory ◽  
Hydrodynamic Modulation

scholarly journals Nonconservative higher-order hydrodynamic modulation instability

2017 ◽  
Vol 96 (2) ◽  
Author(s):  
O. Kimmoun ◽  
H. C. Hsu ◽  
B. Kibler ◽  
A. Chabchoub
Keyword(s):  
Modulation Instability ◽  
Higher Order ◽  
Hydrodynamic Modulation

scholarly journals Higher-order modulation theory for resonant flow over topography

2017 ◽  
Vol 29 (7) ◽  
pp. 077101 ◽  
Author(s):  
M. Daher Albalwi ◽  
T. R. Marchant ◽  
Noel F. Smyth
Keyword(s):  
Higher Order ◽  
Flow Over Topography ◽  
Modulation Theory

scholarly journals Remote Sensing of Ocean Waves by Polarimetric SAR

2006 ◽  
Vol 23 (12) ◽  
pp. 1768-1773 ◽  
Author(s):  
Yijun He ◽  
Hui Shen ◽  
William Perrie
Keyword(s):  
Synthetic Aperture Radar ◽  
Ocean Waves ◽  
Synthetic Aperture ◽  
Modulation Transfer ◽  
Wave Direction ◽  
Polarimetric Sar ◽  
Polarimetric Synthetic Aperture Radar ◽  
Wave Slope ◽  
Hydrodynamic Modulation ◽  
Aperture Radar

Abstract A new method to measure ocean wave slope spectra using fully polarimetric synthetic aperture radar (POLSAR) data was developed without the need for a complex hydrodynamic modulation transform function. There is no explicit use of a hydrodynamic modulation transfer function. This function is not clearly known and is based on hydrodynamic assumptions. The method is different from those developed by Schuler and colleagues or Pottier but complements their methods. The results estimated from NASA Jet Propulsion Laboratory (JPL) Airborne Synthetic Aperture Radar (AIRSAR) C-band polarimetric SAR data show that the ocean wavelength, wave direction, and significant wave height are in agreement with buoy measurements. The proposed method can be employed by future satellite missions such as RADARSAT-2.

scholarly journals HIGHER ORDER WAVE SPECTRA

1978 ◽  
Vol 1 (16) ◽  
pp. 19
Author(s):  
Paul C. Liu ◽  
Albert W. Green
Keyword(s):  
Energy Content ◽  
Wind Waves ◽  
Ocean Waves ◽  
Higher Order ◽  
Bispectral Analysis ◽  
Wave Interactions ◽  
Single Station ◽  
Frequency Components ◽  
Theoretical Considerations ◽  
Nonlinear Energy

As part of an effort aimed at examining the empirical aspects of nonlinear processes of wind-generated waves, this paper presents calculations and examples of bispectra and trispectra and indicates applications of these results to the study of wave growth processes. Recent publications on wave studies have indicated that the growth process of wind waves is primarily associated with the nonlinear energy flux due to wave-wave interactions. While most of these studies are conjectures from theoretical considerations, it is of interest to explore the nonlinear studies empirically. From available wave data largely recorded at a single station, a first step is to perform bispectral and trispectral analyses of the data. Since the unispectrum provides information on the energy content of the frequency components, the bispectrum and trispectrum generally provide information on the interactive relations between two and three frequency components, respectively. These higher order interactive relations can thus be considered as estimates or characterizations of nonlinear interactions. Hasselmann, Munk, and McDonald (1962), perhaps the first to use bispectral analysis, demonstrated that calculations of observed bispectra of ocean waves correlate reasonably well with theoretically derived bispectra. Other ocean wave bispectra were presented by Garrett (1970) and Houmb (1974). Trispectral analysis has not yet been attempted in practical problems.

scholarly journals On the probability of occurrence of rogue waves

2012 ◽  
Vol 12 (3) ◽  
pp. 751-762 ◽  
Author(s):  
E. M. Bitner-Gregersen ◽  
A. Toffoli
Keyword(s):  
Deep Water ◽  
Field Data ◽  
Rogue Wave ◽  
Ocean Waves ◽  
Rogue Waves ◽  
Higher Order ◽  
Probability Of Occurrence

Abstract. A number of extreme and rogue wave studies have been conducted theoretically, numerically, experimentally and based on field data in the last years, which have significantly advanced our knowledge of ocean waves. So far, however, consensus on the probability of occurrence of rogue waves has not been achieved. The present investigation is addressing this topic from the perspective of design needs. Probability of occurrence of extreme and rogue wave crests in deep water is here discussed based on higher order time simulations, experiments and hindcast data. Focus is given to occurrence of rogue waves in high sea states.

scholarly journals SPECTRA AND BISPECTRA OF OCEAN WAVES

1974 ◽  
Vol 1 (14) ◽  
pp. 16
Author(s):  
Ole Gunnar Houmb
Keyword(s):  
Power Spectrum ◽  
Water Waves ◽  
Surface Displacement ◽  
Ocean Waves ◽  
Higher Order ◽  
Order Effects ◽  
Two Dimensional ◽  
Wave Surface ◽  
Linear Superposition ◽  
Breaking Energy

The two dimensional (directional) power spectrum gives an adequate description of water waves that may be regarded as a linear superposition of statistically independent waves. In such cases the sea surface is linear to the first order and the surface displacement is represented by CO n(t) = Z an sm(u> t + n) n=l where an are the amplitudes of individual waves and is a Tn randomly distributed phase angle, and the process is stationary. Under such circumstances the wave surface is Gaussian, which means that ordinates measured from MWL are normally distributed rf they are sampled at constant intervals of time. It is equally important that the wave heights are Rayleigh distributed. This formulation of the wave surface is widely used e.g. in wave forecasting. There are, however, phenomena such as wave breaking, energy transfer between wave components and surf beat which can only be described by higher order effects of wave motion (1, 2, 3, 4). In this case the two dimensional power spectrum fails to give an accurate description of the wave surface. This means that the first and second order moments (mean and covariance) no longer give all the probability information, and we have to consider higher order moments (5, 6, 7).

Stochastic Morphological Modeling of Random Multiphase Materials

2008 ◽  
Vol 75 (6) ◽  
Author(s):  
Lori Graham-Brady ◽  
X. Frank Xu
Keyword(s):  
Random Media ◽  
Ocean Waves ◽  
Research Direction ◽  
Statistical Simulation ◽  
Higher Order ◽  
Wind Pressure ◽  
Random Field Theory ◽  
Multiphase Materials ◽  
Non Gaussian ◽  
Gaussian Stochastic Processes

A short-range-correlation (SRC) model is introduced in the framework of Markov/Gibbs random field theory to characterize and simulate random media. The Metropolis spin-flip algorithm is applied to build a robust simulator for multiphase random materials. Through development of the SRC model, several crucial conceptual ambiguities are clarified, and higher-order statistical simulation of random materials becomes computationally feasible. In the numerical examples, second- and third-order statistical simulations are demonstrated for biphase random materials, which shed light on the relationship between nth-order correlation functions and morphological features. Based on the observations, further conjectures are made concerning some fundamental morphological questions, particularly for future investigation of physical behavior of random media. It is expected that the SRC model can also be extended to third- and higher-order simulations of non-Gaussian stochastic processes such as wind pressure, ocean waves, and earthquake accelerations, which is an important research direction for high fidelity simulation of physical processes.

Dual systems for all: Higher-order, role-based relational reasoning as a uniquely derived feature of human cognition

2019 ◽  
Vol 42 ◽  
Author(s):  
Daniel J. Povinelli ◽  
Gabrielle C. Glorioso ◽  
Shannon L. Kuznar ◽  
Mateja Pavlic
Keyword(s):  
Temporal Reasoning ◽  
Higher Order ◽  
Important Case ◽  
Human Cognition ◽  
Relational Reasoning ◽  
Dual Systems ◽  
First Order ◽  
Reasoning System ◽  
Role Based

Abstract Hoerl and McCormack demonstrate that although animals possess a sophisticated temporal updating system, there is no evidence that they also possess a temporal reasoning system. This important case study is directly related to the broader claim that although animals are manifestly capable of first-order (perceptually-based) relational reasoning, they lack the capacity for higher-order, role-based relational reasoning. We argue this distinction applies to all domains of cognition.

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