Wave energy transfer in time-dependent nonlinear wave-wave interactions

1974 ◽  
Vol 24 (1) ◽  
pp. 63-77 ◽  
Author(s):  
P. K. C. Wang
Keyword(s):  
Energy Transfer ◽  
Nonlinear Wave ◽  
Wave Energy ◽  
Time Dependent ◽  
Wave Interactions

scholarly journals RAPID CALCULATION OF NONLINEAR WAVE-WAVE INTERACTIONS

2011 ◽  
Vol 1 (32) ◽  
pp. 36 ◽  
Author(s):  
Lihwa Lin ◽  
Zeki Demirbilek ◽  
Jinhai Zheng ◽  
Hajime Mase
Keyword(s):  
Energy Transfer ◽  
Shallow Water ◽  
Nonlinear Wave ◽  
Ocean Waves ◽  
Wave Transformation ◽  
Calculation Algorithm ◽  
Wave Interactions ◽  
Nonlinear Energy Transfer ◽  
Rapid Calculation ◽  
Nonlinear Energy

This paper presents an efficient numerical algorithm for the nonlinear wave-wave interactions that can be important in the evolution of coastal waves. Indeed, ocean waves truly interact with each others. However, because ocean waves can also interact with the atmosphere such as under variable wind and pressure fields, and waves will deform from deep to shallow water, it is generally difficult to differentiate the actual amount of the nonlinear energy transfer among spectral waves mixed with the atmospheric input and wave breaking. The classical derivation of the nonlinear wave energy transfer has involved tedious numerical calculation that appears impractical to the engineering application. The present study proposed a theoretically based formulation to efficiently calculate nonlinear wave-wave interactions in the spectral wave transformation equation. It is approved to perform well in both idealized and real application examples. This rapid calculation algorithm indicates the nonlinear energy transfer is more significant in the intermediate depth than in deep and shallow water conditions.

scholarly journals Observations and Modeling of Typhoon Waves in the South China Sea

2017 ◽  
Vol 47 (6) ◽  
pp. 1307-1324 ◽  
Author(s):  
Yao Xu ◽  
Hailun He ◽  
Jinbao Song ◽  
Yijun Hou ◽  
Funing Li
Keyword(s):  
South China Sea ◽  
Surface Waves ◽  
Nonlinear Wave ◽  
South China ◽  
Wave Energy ◽  
The South China Sea ◽  
Source Terms ◽  
Wave Interactions ◽  
China Sea ◽  
Typhoon Waves

AbstractBuoy-based observations of surface waves during three typhoons in the South China Sea were used to obtain the wave characteristics. With the local wind speeds kept below 35 m s−1, the surface waves over an area with a radius 5 times that of the area in which the maximum sustained wind was found were mainly dominated by wind-wave components, and the wave energy distribution was consistent with fetch-limited waves. Swells dominated the surface waves at the front of and outside the central typhoon region. Next, the dynamics of the typhoon waves were studied numerically using a state-of-the-art third-generation wave model. Wind forcing errors made a negligible contribution to the surface wave results obtained using hindcasting. Near-realistic wind fields were constructed by correcting the idealized wind vortex using in situ observational data. If the different sets of source terms were further considered for the forcing stage of the typhoon, which was defined as the half inertial period before and after the typhoon arrival time, the best model performance had mean relative biases and root-mean-square errors of −0.7% and 0.76 m, respectively, for the significant wave height, and −3.4% and 1.115 s, respectively, for the peak wave period. Different sets of source terms for wind inputs and whitecapping breaking dissipation were also used and the results compared. Finally, twin numerical experiments were performed to investigate the importance of nonlinear wave–wave interactions on the spectrum formed. There was evidence that nonlinear wave–wave interactions efficiently transfer wave energy from high frequencies to low frequencies and prevent double-peak structures occurring in the frequency-based spectrum.

scholarly journals Global existence and decay estimates for nonlinear wave equations with space-time dependent dissipative term

2015 ◽  
Vol 12 (02) ◽  
pp. 249-276
Author(s):  
Tomonari Watanabe
Keyword(s):  
Global Existence ◽  
Nonlinear Wave ◽  
Wave Equations ◽  
Space Time ◽  
Time Dependent ◽  
Nonlinear Wave Equations ◽  
Energy Estimates ◽  
Space Region ◽  
Decay Estimates ◽  
Dissipative Term

We study the global existence and the derivation of decay estimates for nonlinear wave equations with a space-time dependent dissipative term posed in an exterior domain. The linear dissipative effect may vanish in a compact space region and, moreover, the nonlinear terms need not be in a divergence form. In order to establish higher-order energy estimates, we introduce an argument based on a suitable rescaling. The proposed method is useful to control certain derivatives of the dissipation coefficient.

Surface acoustic wave energy transfer in an air‐gap‐coupled Bi12GeO20‐CdS system

1976 ◽  
Vol 47 (11) ◽  
pp. 4800-4803
Author(s):  
G. Cambon ◽  
A. Saïssy ◽  
M. Rouzeyre
Keyword(s):  
Energy Transfer ◽  
Acoustic Wave ◽  
Surface Acoustic Wave ◽  
Wave Energy ◽  
Air Gap

WIGNER MEASURES AND MOLECULAR PROPAGATION THROUGH GENERIC ENERGY LEVEL CROSSINGS

2003 ◽  
Vol 15 (10) ◽  
pp. 1285-1317 ◽  
Author(s):  
CLOTILDE FERMANIAN KAMMERER
Keyword(s):  
Energy Transfer ◽  
Normal Form ◽  
Energy Level ◽  
Point Of View ◽  
Time Dependent ◽  
Type B ◽  
Unified Framework ◽  
Level Crossings ◽  
Normal Form Theorem ◽  
Uniformly Bounded

We study the time-dependent Schrödinger equation with matrix-valued potential presenting a generic crossing of type B, I, J or K in Hagedorn's classification. We use two-scale Wigner measures for describing the Landau–Zener energy transfer which occurs at the crossing. In particular, in the case of multiplicity 2 eigenvalues, we calculate precisely the change of polarization at the crossing. Our method provides a unified framework in which codimension 2, 3 or 5 crossings can be discussed. We recover Hagedorn's result for wave packets, from Wigner measure point of view, and extend them to any data uniformly bounded in L2. The proof is based on a normal form theorem which reduces the problem to an operator-valued Landau–Zener formula.

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