An analytical solution to the extended mild-slope equation for long waves propagating over an axi-symmetric pit

DOI10.1016/j.wavemoti.2008.03.002zbMath1231.76042OpenAlexW2082349831MaRDI QIDQ661673

Tae-Hwa Jung, Kyung-Duck Suh

Publication date: 11 February 2012

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10371/67642

zbMATH Keywords

analytic solutionlong wavesaxi-symmetric pitextended mild-slope equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (7)

Dual boundary element model coupled with the dual reciprocity method to determine wave scattering by a concentric cylindrical system mounted on a conical shoal ⋮ Analytical study on long wave refraction over a dredge excavation pit ⋮ Explicit modified mild-slope equation for wave scattering by piecewise monotonic and piecewise smooth bathymetries ⋮ The series solution to the modified mild-slope equation for wave scattering by Homma islands ⋮ The ultra weak variational formulation for the modified mild-slope equation ⋮ A new application of an improved DRBEM model for water wave propagation over a frictional uneven bottom ⋮ Resonance of long waves around a circular island and its relation to edge waves

Cites Work

• Unnamed Item
• Long waves propagating over a circular bowl pit
• Scattering of long waves around a circular island mounted on a conical shoal
• New solutions for the propagation of long water waves over variable depth
• The modified mild-slope equation
• Extensions of the mild-slope equation
• On the trapping of wave energy round islands

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