Time-dependent linear water-wave scattering in two dimensions by a generalized eigenfunction expansion

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...

Full description

Saved in:
Bibliographic Details
Published in:Journal of fluid mechanics Vol. 632; pp. 447 - 455
Main Author: MEYLAN, MICHAEL H.
Format: Journal Article
Language:English
Published: Cambridge, UK Cambridge University Press 10.08.2009
Subjects:
Applied sciences
Buildings. Public works
Exact sciences and technology
Fluid dynamics
Fluid mechanics
Free surfaces
Hydraulic constructions
Port facilities and coastal structures. Lighthouses and beacons
Water
Wave scattering
Wave-structure interactions
Wave-structure interactions
Wave scattering
Wave propagation
Wave effect
Dock basins
Harbor
Eigenfunction
ISSN:0022-1120, 1469-7645
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
Bibliography:istex:667CB246163AD176739080895B6EFFC762A8AD1F
ark:/67375/6GQ-7BTPZVF1-S
ArticleID:00723
PII:S002211200900723X
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ObjectType-Article-2
content type line 23
ISSN:0022-1120
1469-7645
DOI:10.1017/S002211200900723X