Analytical solutions for tsunami runup on a plane beach: single waves, N-waves and transient waves

DOI10.1017/S0022112009992485zbMath1189.76092OpenAlexW2140321689MaRDI QIDQ3570480

Per A. Madsen, H. A. Schäffer

Publication date: 25 June 2010

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

Full work available at URL: https://doi.org/10.1017/s0022112009992485

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (8)

Nonlinear landslide tsunami run-up ⋮ On shoaling of solitary waves ⋮ Inverse problem for the nonlinear long wave runup on a plane sloping beach ⋮ Long wave propagation and run-up in converging bays ⋮ Experimental investigation of tsunami waves generated by granular collapse into water ⋮ Kernel representation of long-wave dynamics on a uniform slope ⋮ The swash of solitary waves on a plane beach: flow evolution, bed shear stress and run-up ⋮ Stagnant peaked free surface released at a sloping beach

Cites Work

• Run-up of solitary waves on slopes with different profiles
• Water waves of finite amplitude on a sloping beach
• Graduate Mathematical Physics
• The runup of solitary waves
• The anomalous behavior of the runup of cnoidal waves
• The run-up of N -waves on sloping beaches
• Numerical solutions of fully non-linear and highly dispersive Boussinesq equations in two horizontal dimensions
• Tsunami run-up and draw-down on a plane beach
• An experimental study of wave run-up at a steep beach
• Tsunami scour around a cylinder
• Non-breaking and breaking solitary wave run-up
• Nonlinear evolution and runup–rundown of long waves over a sloping beach
• A new Boussinesq method for fully nonlinear waves from shallow to deep water
• Runup of nonlinearly deformed waves on a coast
• Water waves on sloping beaches

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