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...

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Vydané v:Journal of fluid mechanics Ročník 632; s. 447 - 455
Hlavný autor: MEYLAN, MICHAEL H.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Cambridge, UK Cambridge University Press 10.08.2009
Predmet:
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
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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.
AbstractList 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.
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. [PUBLICATION ABSTRACT]
Author MEYLAN, MICHAEL H.
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CitedBy_id crossref_primary_10_1007_s10665_011_9492_2
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crossref_primary_10_1017_S0022112010005653
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Cites_doi 10.1137/060665208
10.1017/S0022112001007273
10.1093/qjmam/44.3.487
10.1017/S0022112096002418
10.1017/S0022112009007204
10.1017/S0308210506000138
10.1016/j.jfluidstructs.2009.01.001
10.7551/mitpress/4443.001.0001
10.1016/B978-012613760-6/50032-2
10.1007/BFb0070581
10.1201/9781420036060
10.1007/BF00252896
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Keywords Wave-structure interactions
Wave scattering
Wave propagation
Wave effect
Dock basins
Harbor
Eigenfunction
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SubjectTerms 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
Title Time-dependent linear water-wave scattering in two dimensions by a generalized eigenfunction expansion
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