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

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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 | OL17828792M |

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 larep-immo.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.

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