Numerical approximation of water waves through a deterministic algorithm
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Publication:1756633
DOI10.1007/s00021-018-0390-5zbMath1419.76432OpenAlexW2891598459WikidataQ129302529 ScholiaQ129302529MaRDI QIDQ1756633
Dominic Amann, Konstantinos Kalimeris
Publication date: 21 December 2018
Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00021-018-0390-5
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)
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- Global bifurcation for water waves with capillary effects and constant vorticity
- On stratified steady periodic water waves with linear density distribution and stagnation points
- Analyticity of periodic traveling free surface water waves with vorticity
- Steady periodic water waves with constant vorticity: Regularity and local bifurcation
- Approximations of steady periodic water waves in flows with constant vorticity
- Steady water waves with a critical layer
- Shallow water models with constant vorticity
- A numerical continuation approach for computing water waves of large wave height
- Steady water waves with multiple critical layers: interior dynamics
- Dispersion relation for water waves with non-constant vorticity
- Asymptotic expansions for steady periodic water waves in flows with constant vorticity
- Global bifurcation of steady gravity water waves with critical layers
- Large Amplitude Steady Periodic Waves for Fixed-Depth Rotational Flows
- Global bifurcation of capillary–gravity-stratified water waves
- A non-local formulation of rotational water waves
- A Novel Non-Local Formulation of Water Waves
- DOLFIN
- Nonlinear Water Waves with Applications to Wave-Current Interactions and Tsunamis
- Steady Water Waves with Multiple Critical Layers
- Water waves over a variable bottom: a non-local formulation and conformal mappings
- Analyticity of Rotational Water Waves
- Exact steady periodic water waves with vorticity
- Prediction of the free-surface elevation for rotational water waves using the recovery of pressure at the bed
- Flow structure beneath rotational water waves with stagnation points
- On the existence of steady periodic capillary-gravity stratified water waves
- On a new non-local formulation of water waves
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