2 edition of **Theory and calculation of the nonlinear energy transfer between sea waves in deep water** found in the catalog.

Theory and calculation of the nonlinear energy transfer between sea waves in deep water

Barbara A. Tracy

- 93 Want to read
- 36 Currently reading

Published
**1982**
by U.S. Army Engineer Waterways Experiment Station, Available from National Technical Information Service in Vicksburg, Miss, [Springfield, Va
.

Written in English

- Energy transfer.,
- Nonlinear integral equations.,
- Water waves.

**Edition Notes**

Statement | by Barbara A. Tracy, Donald T. Resio ; prepared for Office, Chief of Engineers, U.S. Army. |

Series | WIS report -- 11. |

Contributions | Resio, Donald T., U.S. Army Engineer Waterways Experiment Station., United States. Army. Corps of Engineers. |

The Physical Object | |
---|---|

Pagination | 53 p. in various pagings : |

Number of Pages | 53 |

ID Numbers | |

Open Library | OL17656060M |

Airy wave theory is a linear theory for the propagation of waves on the surface of a potential flow and above a horizontal bottom. The free surface elevation η(x,t) of one wave component is sinusoidal, as a function of horizontal position x and time t: (,) = (−). Recently, the authors have derived a new approximate model for the nonlinear water waves, the Irrotational Green-Naghdi (IGN) model. In this paper, we first derive the IGN equations applicable to variable water depth, and then perform numerical tests to show whether and how fast the solution of the IGN model converges to the true solution as its level ekinanaokulu.com by:

Weakly nonlinear non-symmetric gravity waves on water of,finite depth This expansion is accurate up to terms of order ap”. The evolution equations that can be obtained from this energy density agree with those obtained by Miles () following a similar expansion, and also with the . Steep, focusing waves can experience fast and local nonlinear evolution of the spectrum due to wave–wave interactions resulting in energy transfer to both higher and lower wavenumber components. The shape and kinematics of a steep wave may, thus, differ substantially from the predictions of linear ekinanaokulu.com: Dylan Barratt, Harry B. Bingham, Thomas A. A. Adcock.

As the wind blows, pressure and friction perturb the equilibrium of the water surface and transfer energy from the air to the water, forming waves. The initial formation of waves by the wind is described in the theory of Phillips from , and the subsequent growth of the small waves has been modeled by Miles, . coupling between surface and internal waves, internal waves, planetary waves, trapped waves, or waves in shallow water. Our objective is to review resonant interaction theories and experiments for waves on the surface of a deep layer of water. RIT is more than a framework for unifying wave phenomena-RIT is ekinanaokulu.com by:

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Theory and calculation of the nonlinear energy transfer between sea waves in deep water Author: Barbara A Tracy ; Donald T Resio ; U.S. Army Engineer Waterways Experiment Station. THEORY AND CALCULATION OF THE NONLINEAR ENERGY TRANSFER BETWEEN SEA WAVES IN DEEP WATER Introduction 1.

The sea-wave spectrum usually has its main peak just before a low wave-number cutoff. The JONSWAP (Sell and Hasselmann ) experi-ments have shown that this peak is higher and narrower than had been ex-Cited by: Theory and calculation of the nonlinear energy transfer between sea waves in deep water / By Barbara A.

Tracy, Donald T. Resio, United States. Army. Topics: Water waves. The evolution and interaction of nonlinear wavepackets on deep water is studied both theoretically and experimentally. The nonlinear Schrödinger equation, first derived in this context by Hasimoto and Ono, is shown to be a special case of Whitham’s theory.

The exact solution to this equation predicts the existence of stable envelope solitons, which is indeed verified by laboratory Cited by: Jun 01, · Calculation of the nonlinear energy transfer through the wave spectrum at the sea surface covered with broken ice.

Abstract. The nonlinear energy transfer through the wave spectrum is studied on the basis of the previously obtained explicit equation for matrix elements of a four-wave kinetic Cited by: Aug 01, · The analyzed nonlinear interactions lead to a transfer of energy from near-inertial waves, directly excited by the storm, to superinertial waves, which typically propagate faster and farther than their lower-frequency parents and can lead to internal mixing even at large distances from the region of large air–sea momentum ekinanaokulu.com by: 2.

nonlinear interactions lead to a transfer of energy from near-inertial waves, directly excited by the storm, to superinertial waves, which typically propagate faster and farther than their lower-frequency parents and can lead to internal mixing even at large distances from the region of large air–sea momentum ﬂuxes.

Energy is. breather solutions of the nonlinear Schr odinger equation. Rogue water waves are extreme high sea waves that can cause severe damage on commercial and other ships or on oil platforms.

Such waves are deep-water waves which prob-ably can be described by breather solutions of equations that belong to the family of the nonlinear Schr odinger equation.

Initial conditions are assigned as a group of linear waves. According to the general opinion based on the quasi-linear Hasselmannʼs theory, such waves cannot produce downshifting, i.e., a regular transfer of wave energy from high to low wavenumber modes.

The calculations Cited by: 3. Different forms for nonlinear standing waves in deep water By Peter J. Bryant Department of Mathematics, University of Canterbury, Christchurch, New Zealand and Michael Stiassnie Department of Civil Engineering, Technion-Israel Institute of Technology, Haifa, Israel.

Conservation of energy and momentum then requires that the diffusive transfer be matched by a 'pumped' transfer between k2 and k, The term 'pumped' is chosen to emphasize how the diffusive transfer between kl and ka forces or pumps the transfer between k2 and k, Similarly the diffusive transfe~ between Non-hnear transfers between sea waves k2 and k4 gives a pumped transfer between kl Cited by: The basic features of transfer functions thus obtained are explained well from the two properties: (1) that for most cases of resonant four waves, energy flows from the pair of intermediate frequencies toward the pair of outer (higher or lower) frequencies and (2) that the coupling coefficient depends strongly on the mean frequency of the resonant four waves and the configuration of their Cited by: 5.

A non-linear transfer of energy between different wave components is to be expected from the general behaviour of coupled mechanical systems. In the case of a wave spectrum, the non-linear couplings are small and can hence be analysed with the aid of conventional perturbation expansions about the.

There are two main theories for steady waves which are capable of reﬁnement. The ﬁrst is Stokes theory, most suitable for waves which are not very long relative to the water depth. The second is Cnoidal theory, suitable for the other limit where the waves are long. Both theories are presented in the following sections.

Wind waves, with periods of a few seconds, and the tides, with periods of twelve hours or more, are really two examples of the same physical phe-nomenon.

They di er only in the source of their energy. For the shortest-period waves|periods of, say, one to four seconds|the connection between the wind and the waves is obvious.

Comparison of linear and nonlinear shallow wave water equations applied to tsunami waves over the China Sea Article (PDF Available) in Acta Geotechnica 4(2) · July with Reads.

Apr 12, · Nonlinear deep-water waves: theory and experiment. Part 2. Evolution of a continuous wave train - Volume 83 Issue 1 - Bruce M. Lake, Henry C.

Yuen, Harald Rungaldier, Warren E. FergusonCited by: linear wave theory part a - iii - table of contents part a - regular waves 1.

introduction 1 2. basic wave motion 1 3. the equations for surface waves 5 4. small amplitude waves 9 5.

the dispersion relation 14 6. further propertiesof the waves 20 7. plane waves 28 8. superposition of plane waves 30 9. energy and group velocity 32 references Keywords. Deep water surface waves, weakly nonlinear waves, wave pack-ets.

Introduction Overview of the suggested approach We present a theory of nonlinear deep-water waves in a vertical plane which start to propagate away from an initially disturbed body of water.

Then the water is acted on by no external force other than gravity. Effects of nonlinear energy transfer on short surface waves David R.

Lyzenga1 Received 2 October ; revised 6 May ; accepted 9 June ; published 2 October [1] The effects of nonlinear energy transfer on the development of the short wave spectrum are evaluated using a diffusion approximation and a modification of this.

Jul 01, · Theory and Applications of Ocean Surface Waves will be invaluable for graduate students and researchers in coastal and ocean engineering, geophysical fluid dynamicists interested in water waves, and theoretical scientists and applied mathematicians wishing to develop new techniques for challenging problems or to apply techniques existing elsewhere.COMPUTATIONS AND DATA ANALYSIS OF VERY NONLINEAR, DIRECTIONALLY SPREAD, SHALLOW WATER WAVES tion for shallow water theory with second order theory their modulus, m, which varies between 0 and 1, the non-linear modes of KdV can be sine waves (m ∼ 0), Stokes waves (m ∼ ) and solitons (m ∼ 1); as the modulus is.NONLINEAR EVOLUTION OF WAVE GROUPS IN DIRECTIONAL SEA N.N.

Pujianiki 1and W. Kioka 2 ABSTRACT: Nonlinear wave-wave interaction behavior in deep and intermediate water depths and also on a sloping beach are investigated using third-order Zakharov equation which is known as a superior model to predict the evolution.