Time-dependent water-wave scattering by arrays of cylinders and the approximation of near trapping

DOI10.1017/S0022112009007204zbMath1181.76035MaRDI QIDQ5187701

Rodney Eatock Taylor, Michael H. Meylan

Publication date: 26 February 2010

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (11)

Fast and slow interaction of elastic waves with platonic clusters ⋮ The singularity expansion method and near-trapping of linear water waves ⋮ Water wave trapping in a long array of bottomless circular cylinders ⋮ Evaluation of exciting force and moment by a vertical floating cylinder in appearance of a coaxial cylindrical obstacle in two-layer fluid ⋮ On near-trapped modes and fictitious frequencies for water wave problems containing an array of circular cylinders using a null-field boundary integral equation ⋮ Time-dependent linear water-wave scattering in two dimensions by a generalized eigenfunction expansion ⋮ Water wave radiation by a heaving submerged horizontal disk very near the free surface ⋮ Water waves in the time domain ⋮ Global identities for water-wave scattering potentials ⋮ On physical and numerical resonances for water wave problems using the dual boundary element method ⋮ Generalized eigenfunction method for floating bodies

Cites Work

• Scattering theory for the d'Alembert equation in exterior domains
• Eigenfunction expansions associated with the Schrödinger operators and their applications to scattering theory
• Meromorphic families of compact operators
• Trapped modes supported by submerged obstacles
• The interaction of waves with arrays of vertical circular cylinders
• The Singularity Expansion Method applied to the transient motions of a floating elastic plate
• Spectral Theory For an Elastic Thin Plate Floating on Water of Finite Depth
• Interactions among multiple three-dimensional bodies in water waves: an exact algebraic method
• Determination of Scattering Frequencies for an Elastic Floating Body
• Spectral solution of time-dependent shallow water hydroelasticity
• An example of non-uniqueness in the two-dimensional linear water wave problem
• Trapped modes in an axisymmetric water-wave problem
• Generalized eigenfunction expansions for conservative scattering problems with an application to water waves
• Trapped modes in the water-wave problem for a freely floating structure
• The decay of the free motion of a floating body
• The transient motion of a floating body

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