Explicit Dirichlet–Neumann operator for water waves

DOI10.1017/jfm.2022.830OpenAlexW4295846650MaRDI QIDQ5044361

Didier Clamond

Publication date: 25 October 2022

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

Full work available at URL: https://arxiv.org/abs/2209.06490

zbMATH Keywords

surface gravity wavesgeneral fluid mechanics

Mathematics Subject Classification ID

Fluid mechanics (76-XX)

Cites Work

• Unnamed Item
• On the Cauchy problem for gravity water waves
• Numerical simulation of gravity waves
• An explicit method for the nonlinear interaction between water waves and variable and moving bottom topography
• Hamiltonian long-wave approximations to the water-wave problem
• An efficient model for three-dimensional surface wave simulations. I: Free space problems
• Gravity capillary standing water waves
• Hamiltonian formulation for wave-current interactions in stratified rotational flows
• Stable computation of the functional variation of the Dirichlet-Neumann operator
• A fast method for fully nonlinear water-wave computations
• A new approach to analyticity of Dirichlet-Neumann operators
• Surface Waves
• Comparison of five methods of computing the Dirichlet-Neumann operator for the water wave problem
• A mathematical analysis of tsunami generation in shallow water due to seabed deformation
• A high-order spectral method for the study of nonlinear gravity waves
• A three-dimensional Dirichlet-to-Neumann operator for water waves over topography
• Bottom Detection Through Surface Measurements on Water Waves
• A variational formulation for steady surface water waves on a Beltrami flow
• Hamiltonian long–wave expansions for water waves over a rough bottom
• Hamiltonian long‐wave expansions for free surfaces and interfaces
• Equatorial wave-current interactions