Comparison of five methods of computing the Dirichlet-Neumann operator for the water wave problem
From MaRDI portal
Publication:2944041
zbMath1325.76029arXiv1406.5226MaRDI QIDQ2944041
Publication date: 7 September 2015
Full work available at URL: https://arxiv.org/abs/1406.5226
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Fredholm integral equations (45B05) Discrete potential theory (31C20) Perturbations of nonlinear operators (47H14) Free-surface potential flows for incompressible inviscid fluids (76B07)
Related Items
Inverse problems in free surface flows: a review ⋮ Explicit Dirichlet–Neumann operator for water waves ⋮ Free surface in two-dimensional potential flow: singularities, invariants and virtual fluid ⋮ Recent advances on the global regularity for irrotational water waves ⋮ Capturing the flow beneath water waves ⋮ Fokas integral equations for three dimensional layered-media scattering ⋮ A three-dimensional Dirichlet-to-Neumann operator for water waves over topography ⋮ Analysis of the linear version of a highly dispersive potential water wave model using a spectral approach in the vertical ⋮ Variational Boussinesq model for strongly nonlinear dispersive waves ⋮ Adjoint-based high-order spectral method of wave simulation for coastal bathymetry reconstruction ⋮ A stable high-order perturbation of surfaces method for numerical simulation of diffraction problems in triply layered media ⋮ Sufficiently strong dispersion removes ill-posedness in truncated series models of water waves ⋮ Stokes waves at the critical depth are modulationally unstable ⋮ The stability of capillary waves on fluid sheets ⋮ Hamiltonian model for water waves in a triangular domain ⋮ Numerical Simulation of Grating Structures Incorporating Two-Dimensional Materials: A High-Order Perturbation of Surfaces Framework ⋮ Linear modes for channels of constant cross-section and approximate Dirichlet-Neumann operators ⋮ A Hybrid Analytical-Numerical Technique for Elliptic PDEs ⋮ A Hamiltonian approach for nonlinear rotational capillary-gravity water waves in stratified flows ⋮ Periodic equatorial water flows from a Hamiltonian perspective ⋮ Stability of periodic traveling flexural‐gravity waves in two dimensions ⋮ The Nonlocal Ablowitz--Fokas--Musslimani Water-Wave Method for Cylindrical Geometry ⋮ Computing the Dirichlet--Neumann Operator on a Cylinder ⋮ Interaction of a free surface with a vortex patch ⋮ Water wave problem with inclined walls