2 edition of **Nonlinear Resonant Inertial Wave Interactions.** found in the catalog.

Nonlinear Resonant Inertial Wave Interactions.

Canada. Defence Research Establishment Pacific, Victoria, B. C.

- 373 Want to read
- 12 Currently reading

Published
**1974**
by s.n in S.l
.

Written in English

**Edition Notes**

1

Series | Canada Drb Drep Reprint -- 74-02 |

Contributions | Hughes, B.A. |

ID Numbers | |
---|---|

Open Library | OL21888596M |

By using a two-fluid model, we obtain a nonlinear equation to investigate the resonant interaction among three kinetic Alfvén waves. It is shown that the parametric instability of the kinetic Alfvén wave becomes important when its perpendicular wavelength is the order of the ion acoustic gyroradius or the electron inertial length. SURFACE-WAVE INTERACTIONS 59 ripples, second-harmonic resonance occurs for a wavetrain with wave number ko = «(}gj2T) liZ, in which (} is the mass density, T is the surface tension, and 9 is the gravitational force per unit mass.[Triadic resonances also occur in shallow water where waves are nondispersive at leading orderCited by:

resonance interaction) or forbidden (nonresonance interactions) by conservation laws. The dispersion law allows three-wave interaction processes for inertial waves, i.e. corresponding momentum and energy conservation laws have nonzero set of solutions in k-space, which is called a resonance surface. It means that inertial waves belong to. 6 e e c c c c g g e x e z e y Figure 4. Reﬂection of an inertial wave of angular frequency σ= 2Ωcosθon a plane tilted by an angle vectors cϕ and cg show the directions of the phase and group velocities for the incidentandreﬂectedbeams. wave. In the following, U f and λ f will be named forcing velocity and forcing wavelength andRe f = U fλ f/ν= Aσ 0λ 0.

By using a two‐fluid model, we obtain a nonlinear equation to investigate the resonant interaction among three kinetic Alfvén waves. It is shown that the parametric instability of the kinetic Alfvén wave becomes important when its perpendicular wavelength is the order of the ion acoustic gyroradius or the electron inertial length. In Chapter 11 and Chapter 12 of the book we characterize deterministic and stochastic variability in waves. While reviewing the presentations at last week’s EGU meeting, one study covered some of the same ground [1] and was worth a more detailed look. The distribution of stratospheric wind wave energy collected by Nastrom [2] (shown below) that we model in Chapter 11 is apparently still not.

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The resonant interaction of a triad of inertial waves is investigated theoretically. An additional condition for resonance is found to be necessary compared to short internal wave interactions—namely, that the polarization must be specified.

One of the quantities Nonlinear Resonant Inertial Wave Interactions. book is ω. u calculated for each wave separately and summed over the triad.

The resonant interaction of a triad of inertial waves is investigated theoretically. An additional condition for resonance is found to be necessary compared to short internal wave interactions—name Cited by: 2.

The resonant triad consists of a (linearly) unstable wave and two stable waves, one of which has a wavelength that can be much longer than that of the unstable component. Of special interest is the development of the long wave by energy transfer from the base flow due to the coupled effect of nonlinear resonance and interfacial by: 5.

The only other resonant interaction experiments known to the authors are (1) careful definitive measurements of initial trends for a very weak third-order surface gravity wave Cited by: This indicates that there is a nonresonant (strong) nonlinear interaction between typhoon‐induced NIWs and DTs rather than a resonant (wave‐wave) interaction only in the subsurface layer after the passage of each typhoon, which is consistent with the above by: 4.

In its essence, classical wave turbulence theory (Zakharov et al. ) is a perturbation expansion in the amplitude of the nonlinearity, yielding, at the leading order, linear waves, with amplitudes slowly modulated at higher orders by resonant nonlinear interactions.

This modulation leads to a redistribution of the spectral energy density Cited by: Nonlinear interactions play a central role in the development of wave spectra in a dispersive medium. In the early stages of the spectral energy transfer, the resonant wave-wave interactions are important (see, for example, Craik.

Role of non-resonant interactions in the evolution of nonlinear random water wave fields - Volume - SERGEI YU ANNENKOV, VICTOR I. SHRIRACited by: A novel discrete model (D model) is presented describing nonlinear wave interactions in systems with small and moderate nonlinearity under narrow frequency band excitation.

the wave interactions in the equatorial waveguide. Therefore, to address this issue, in this paper we extend the previous results on the nonlinear interactions among equatorial waves to the fully stratified case. The nonlinear dynamical equations utilized here for this purpose are the equatorial 3-plane primitive equations in isobaric coordi.

A part of the wave community shares the common thinking that, while the four-wave (resonant) interactions are relevant in deep water, the three-wave interactions (never resonant, except in the dispersiveless case) become the main nonlinear mechanism of energy File Size: KB.

Specific interaction processes and their role in shaping the internal wave spectrum have been unveiled and a comprehensive inertial range theory developed. The range of validity of the resonant interaction approximation, however, is not known and must be seriously doubted for high‐wave number, high‐frequency by: On the nonlinear resonance wave interaction 4.

Results and conclusions The calculations are carried out for L =, ω0 =f =10, λ=, e =1. The response vt() of the attachment is displayed in figInstantaneous frequency of the nonlinear attachment is depicted in fig By using a two-fluid model, we obtain a nonlinear equation to investigate the resonant interaction among three kinetic Alfvén waves.

It is shown that the parametric instability of the kinetic. Two surface waves can interact to produce an internal gravity wave by nonlinear resonant coupling. The process has been called spontaneous creation (SC) because it operates without internal waves being initially by: 5.

Complex non-linear dynamic responses of the oscillators can be induced e.g. by the electro-mechanical coupling due to electrostatic actuation, by the interaction between membrane and bending regimes in slender beams or plates, by the temperature variations, by the internal contacts between surfaces at low distance.

All non-linear phenomena related to the mechanics of microsystems must be well Author: Claudia Comi, Valentina Zega, Alberto Corigliano.

The main contribution of this paper is to develop a high-static-low-dynamic-stiffness (HSLDS) resonator with an inertial amplification mechanism (IAM), which is able to create a much lower band gap than a pure HSLDS resonator.

The nonlinear characteristics of a locally resonant (LR) beam attached with such new resonators are also by: 6. Resonant interactions between weakly nonlinear long surface and interfacial waves: Authors: Tahvildari, N density stratified, shallow, inviscid and immiscible fluid.

The influence of different parameters on the interaction such as density ratio of the layers, relative thickness of the layers, surface wave frequency and surface wave.

Nonlinear wave-wave interactions redistribute wave energy over the spectrum, due to an exchange of energy resulting from resonant sets of wave components. There are two processes that are important for the inclusion of nonlinear wave-wave interactions in wave models: four-wave interactions in deep and intermediate waters (known as quadruplets) and three-wave interactions in shallow water (triads).

Understanding the nature of nonlinear interactions is at the core of the problem of evidence of such resonant wave interactions has been found, e.g., in capillary wave tur-bulence (Aubourg & Mordant) and in gravity-capillary waves (Haudin et al.

Resonant and near-resonant interactions in rotating turbulence 3Cited by: 8. A tetrad mechanism for exciting long waves, for example edge waves, is described based on nonlinear resonant wave-wave interactions.

In this mechanism, resonant interactions pass energy to an edge wave, from the three participating gravity waves. The estimated action flux into the edge wave can be orders of magnitude greater than the transfer Author: Ray Q.

Lin, Will Perrie.We investigate the nonlinear resonant wave-particle interactions including the effects of particle (phase) trapping, detrapping, and scattering by high-amplitude coherent waves.

After deriving the relationship between probability of trapping and velocity of particle drift induced by nonlinear scattering (phase bunching), we substitute this relation and other characteristic equations of wave Cited by: NONLINEAR RESONANCE ANALYSIS Theory, Computation, Applications Nonlinear resonance analysis is a unique mathematical tool that can be used to study resonances in relation to, but independently of, any single area of applica-tion.

This is the ﬁrst book to present the theory of nonlinear resonances as a new.