Abstract
We consider the solution in the time domain of the two-dimensional water-wave scattering by fixed bodies, which may or may not intersect with the free surface. We show how the problem with arbitrary initial conditions can be found from the single-frequency solutions using a generalized eigenfunction expansion, required because the operator has a continuous spectrum. From this expansion we derive simple formulas for the evolution in time of the initial surface conditions, and we present some examples of numerical calculations.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference19 articles.
1. Scattering Theory for the d'Alembert Equation in Exterior Domains
2. Meylan M. H. 2008 a Time-dependent solution for linear water waves by expansion in the single-frequency solutions. In Proceedings of the ASME 27th Intl Conf. on Offshore Mechanics and Arctic Engineering, OMAE 2008.
3. Marine Hydrodynamics
4. The initial value problem for the linearized equations of water waves;Friedman;J. Math. Mech.,1967
Cited by
10 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献