An explicit method for the nonlinear interaction between water waves and variable and moving bottom topography

DOI10.1016/J.JCP.2006.08.014zbMath1123.76045OpenAlexW2032456911MaRDI QIDQ876031

Dorian Fructus, John Grue

Publication date: 16 April 2007

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2006.08.014

zbMATH Keywords

Green functiontsunamiexplicit spectral method

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Spectral methods applied to problems in fluid mechanics (76M22)

Related Items (10)

Explicit Dirichlet–Neumann operator for water waves ⋮ Nonlinear interfacial wave formation in three dimensions ⋮ Freak waves in weakly nonlinear unidirectional wave trains over a sloping bottom in shallow water ⋮ Ship generated mini-tsunamis ⋮ Velocity fields in breaking-limited waves on finite depth ⋮ A massively parallel GPU‐accelerated model for analysis of fully nonlinear free surface waves ⋮ Two-Dimensional Surface Wave Propagation over Arbitrary Ridge-Like Topographies ⋮ A fully nonlinear numerical method for modeling wave-current interactions ⋮ Supercritical dead water: effect of nonlinearity and comparison with observations ⋮ Semi-explicit solutions to the water-wave dispersion relation and their role in the non-linear Hamiltonian coupled-mode theory

Uses Software

• RODAS

Cites Work

• Unnamed Item
• Numerical simulation of gravity waves
• Development of a 3D numerical wave tank for modeling tsunami generation by underwater landslides
• An efficient model for three-dimensional surface wave simulations. I: Free space problems
• An efficient model for three-dimensional surface wave simulations. II: Generation and absorption
• A fast method for fully nonlinear water-wave computations
• The stability of solitary waves
• A transport-equation description of nonlinear ocean surface wave interactions
• An operator expansion formalism for nonlinear surface waves over variable depth
• A numerical study of submarine–landslide–generated waves and run–up
• Accuracy and convergence of velocity formulations for water waves in the framework of Boussinesq theory
• A numerical study of crescent waves
• A new Boussinesq method for fully nonlinear waves from shallow to deep water
• A fully nonlinear Boussinesq model for surface waves. Part 1. Highly nonlinear unsteady waves
• A new approach to high-order Boussinesq models
• A note on tsunamis: their generation and propagation in an ocean of uniform depth
• The evolution of large ocean waves: the role of local and rapid spectral changes
• On a new non-local formulation of water waves
• Dynamics of crescent water wave patterns
• Runup and rundown generated by three-dimensional sliding masses
• Rational Chebyshev spectral methods for unbounded solutions on an infinite interval using polynomial-growth special basis functions
• On the efficient numerical simulation of directionally spread surface water waves

This page was built for publication: An explicit method for the nonlinear interaction between water waves and variable and moving bottom topography