A Fourier approximation method for steady water waves

From MaRDI portal
Publication:3958125

DOI10.1017/S0022112081002851zbMath0494.76019MaRDI QIDQ3958125

J. D. Fenton, M. M. Rienecker

Publication date: 1981

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




Related Items

Application of boundary integral equation method for modelling unsteady nonlinear water wavesA modified approach to wavemaker modeling for high-order spectral numerical wave tanksA finite volume WENO scheme for immiscible inviscid two-phase flowsThe instability of periodic surface gravity wavesA generalized moment representation of two free boundary problemsA numerical procedure for viscous free surface flowsHarmonic balance developments in OpenFoamPrediction of the free-surface elevation for rotational water waves using the recovery of pressure at the bedOn devising Boussinesq-type models with bounded eigenspectra: one horizontal dimensionA simplified and efficient weakly-compressible FV-WENO scheme for immiscible two-phase flowsDevelopment and validation of a non-linear spectral model for water waves over variable depthHigh-order Eulerian incompressible smoothed particle hydrodynamics with transition to Lagrangian free-surface motionNumerical use of exterior singularities for computation of gravity waves in shallow waterHOS-ocean: open-source solver for nonlinear waves in open ocean based on high-order spectral methodSteady solutions of high-level irrotational Green-Naghdi equations for strongly nonlinear periodic wavesA 3D fully‐nonlinear potential‐flow solver for efficient simulations of large‐scale free‐surface wavesA mixed Eulerian-Lagrangian high-order spectral method for the propagation of ocean surface waves over a flat bottomIncompressible smoothed particle hydrodynamics for free-surface flows: A generalised diffusion-based algorithm for stability and validations for impulsive flows and propagating wavesA splitting approach for the fully nonlinear and weakly dispersive Green-Naghdi modelA high-order spectral method for the study of nonlinear gravity wavesSurface waves of large amplitude beneath an elastic sheet. Part 2. Galerkin solutionImplicit formulation with the boundary element method for nonlinear radiation of water wavesA mixed Eulerian-Lagrangian spectral element method for nonlinear wave interaction with fixed structuresA novel numerical strategy for the simulation of irregular nonlinear waves and their effects on the dynamic response of offshore wind turbinesIncompressible smoothed particle hydrodynamics (SPH) with reduced temporal noise and generalised Fickian smoothing applied to body-water slam and efficient wave-body interactionAn improved level set method for incompressible two-phase flowsA comparative study of two fast nonlinear free‐surface water wave modelsA massively parallel GPU‐accelerated model for analysis of fully nonlinear free surface wavesBoundary approximation methods for potential problems associated with moving boundary problemsOn the accuracy and applicability of a new implicit Taylor method and the high-order spectral method on steady nonlinear wavesRational approximation schemes for unstable Hele-Shaw flowsComputational analysis of the almost-highest waves on deep waterBoundary Perturbation Methods for Water WavesResonance of a tension leg platform exited by third-harmonic force in nonlinear regular wavesAccurate modelling of uni-directional surface wavesStable, high-order computation of traveling water waves in three dimensionsA variational approach to Boussinesq modelling of fully nonlinear water wavesA harmonic polynomial cell (HPC) method for 3D Laplace equation with application in marine hydrodynamicsPropagation of 3D nonlinear waves over an elliptical mound with a high-order spectral methodA comparative study of diffraction of shallow-water waves by high-level IGN and GN equationsA complex variable method for the floating-body boundary-value problemDo peaked solitary water waves indeed exist?Non‐linear time‐domain models for irregular wave diffraction about offshore structuresA stability analysis of a Eulerian solution method for moving boundary problems in electrochemical machiningAn Eulerian-Lagrangian incompressible SPH formulation (ELI-SPH) connected with a sharp interfaceAn unsteady 3D isogeometrical boundary element analysis applied to nonlinear gravity wavesTwo-dimensional stability of finite-amplitude gravity waves on water of finite depth with constant vorticityA note on integral properties of periodic gravity waves in the case of a non-zero mean Eulerian velocitySemi-explicit solutions to the water-wave dispersion relation and their role in the non-linear Hamiltonian coupled-mode theoryWave-induced bed flows by a Lagrangian vortex schemeCanonical equations for almost periodic, weakly nonlinear gravity waves



Cites Work