On the null-field equations for water-wave radiation problems

DOI10.1017/S0022112081003522zbMath0477.76021OpenAlexW2133343970MaRDI QIDQ3933987

Paul A. Martin

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1017/s0022112081003522

zbMATH Keywords

gravitydeep waternull-field equationswave potentialradiation problemssimple harmonic oscillations

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Fredholm integral equations (45B05) Basic methods in fluid mechanics (76M99)

Related Items (11)

Interpolation based formulation of the oscillatory finite Hilbert transforms ⋮ Asymptotic expansions and fast computation of oscillatory Hilbert transforms ⋮ Acoustic scattering and radiation problems, and the null-field method ⋮ On connections between boundary integral equations and \(T\)-matrix methods. ⋮ A method for suppressing the irregular frequencies from integral equations in water wave-structure. Interaction problems ⋮ Efficient evaluation of oscillatory Bessel Hilbert transforms ⋮ Fast multipole boundary element method for the Laplace equation in a locally perturbed half-plane with a Robin boundary condition ⋮ Efficient method for the computation of oscillatory Bessel transform and Bessel Hilbert transform ⋮ Diffraction-radiation of regular water waves and irregular frequencies: a straightforward flow-modeling approach and analysis ⋮ On the T-matrix for water-wave scattering problems ⋮ Removing the irregular frequencies from integral equations in wave-body interactions

Cites Work

• On the harmonic oscillations of a rigid body on a free surface
• New Formulation of Acoustic Scattering
• Boundary Integral Equations for the Three-Dimensional Helmholtz Equation

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