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Nonlinear Reconstruction and Prediction of Regular Waves

Volume 5B: Ocean Engineering; Honoring Symposium for Professor Günther F. Clauss on Hydrodynamics and Ocean Engineering, 2022
Abstract A method for the reconstruction of nonlinear ocean surfaces is presented and applied to regular waves. From random samples of surface elevation, the method reconstructs the nonlinear features of the observed waves by means of the High-Order Spectral approach.
Desmars, Nicolas   +4 more
openaire   +1 more source

Waves and Patterns on Regular Graphs

SIAM Journal on Applied Dynamical Systems, 2015
The authors consider coupled phase oscillators on finite regular networks that can be thought of as approximating the surface of a sphere. Examples studied include the dodecahedron (20 nodes) and the buckyball (60 nodes) and various generalisations of these. For some networks and some coupling functions the authors can show that rotating wave solutions
Lawrence C. Udeigwe, G. Bard Ermentrout
openaire   +2 more sources

Response of Modelled Ice Masses to Regular Waves and Regular Wave Groups

Proceedings OCEANS '83, 1983
An experimental investigation to determine the maximum instantaneous velocities attainable by a range of ice masses in regular waves and regular wave groups has been conducted. Models constructed of paraffin wax were shown to attain velocities approximately equal to those of the particle velocities in regular waves, for model beam to wavelength ratios ...
J. Murray, G. Guy, D. Muggeridge
openaire   +1 more source

TRANSFORMATION OF REGULAR WAVES.

Proceedings of the Institution of Civil Engineers, 1987
Results are presented from calculations for shoaling waves using a development of Dean's non-linear stream function which display better agreement with previous experimental data for parallel waves in shallow water than other currently available theories. The results are presented in a manner suitable for design applications. In addition to wave height
RH SWIFT, JC DIXON
openaire   +1 more source

Regularity Results for Nonlinear Wave Equations

The Annals of Mathematics, 1993
We report on some recent progress on the Cauchy problem for semilinear wave equations \(u_{tt} - \Delta u + g(u) = 0\) in \(\mathbb{R}^n \times \mathbb{R}\) for smooth nonlinearities \(g\) of critical growth \(g(u) = u |u |^{2^* - 2}\) for large \(|u |\), where \(2^* = (2n)/(n - 2)\), and related problems. Our aim in this article is twofold.
Shatah, Jalal, Struwe, Michael
openaire   +1 more source

Chaotic sound waves in a regular billiard

Physical Review E, 2003
We present experimental results for the ultrasound transmission spectra and standing wave patterns of a rectangular block of fused quartz. A comparison is made between our data and an approximation of the theoretical staircase function for three-dimensional isotropic elasticity.
Schaadt, K, Tufaile, APB, Ellegaard, C
openaire   +3 more sources

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