Reznik, G.M., 1984. On the energy transfer equation for weakly interacting waves. Int. J. Non-Linear Mech., 19 (2): 95-113.Reznik, G. M.: On the energy transfer equation for weakly interact- ing waves, Int. J. Nonlin. Mech., 19, 95-113, 1984....
Wave equations with fractional damping arise in situations when waves propagate through a lossy media, for example fractal rock layers, human tissues, and different biomedical materials (see [6], [24] and references therein). In contrast to usual damped wave equation (θ=0) the fractional dampin...
Wave energy fluxes calculated by integration over all frequency and direction bins of the random waves, which can be regarded as the most accurate equation, are used for validating the two equations. It is demonstrated that the GWEAE significantly improve the accuracy of the wave energy estimation...
Minimal energy for the traveling waves of the Landau-Lifshitz equation - Laire - 2013 () Citation Context ...(1−c 2 ) 1 2 cosh ( (1−c 2 ) 1 2x ), (4) up to the invariances of the equation, i.e. translations, rotations around the axis x3 and orthogonal symmetries with ...
This study extends an energy-balance-equation wave model (a phase-averaging wave model) for multidirectional random wave transformations to account for wave shoaling, refraction, diffraction, reflection and breaking. Quadratic upstream interpolation for convective kinematics is used in the discretization to...
If we decompose the variable A into \(A=\overline{A}+A^{\prime}+A^\ast\), where overbar, prime, and star denote large-, meso- and submesoscale component, respectively, the EKE budget equation for mesoscale can be written as follows55. $$\begin{array}{rcl}\frac{\partial }{\partial...
We also reveal that the energy transfer of the waves and the anomalous fluctuations is carried out mainly through local-scale and large-scale nonlinear interactions, respectively, responsible for their bifurcated power-law spectra. This work unveils the energy transfer physics of imbalanced Alfvénic ...
The equation of motion (12) turns into ∑i=1N∑j=1M−ω2aijpq+σijpq−iωbijpq+ψijpq+δijpq+ϵijpq+κijpqC Concluding remarks In this work, we showed that the use of a properly tuned flexible carpet for wave energy conversion can reach a capture width ratio close to 80%. ...
Dispersion of low-energy waves for the generalized Benjamin-Bona-Mahony equation - Albert - 1986 () Citation Context ... t) ∗ w0∣∣∞ ≤ k(1 + t)−1/4(‖w0‖H1 + |w0|1). This lemma can be proved exactly as in the analogous case of [32]. The proof is based on the ...
where, Lo is the deepwater wavelength as calculated in equation (1). From equation (20) the wavelength is calculated to be approximately 181 feet. Since the approximate panel width is known, equation (17) is solved for pressure (p) using the panel width of 25 feet. The results of the ...