Numerical study on the quantitative error of the Korteweg-de Vries equation for modelling random waves on large scale in shallow water
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Publication:1672560
DOI10.1016/j.euromechflu.2018.04.004zbMath1408.76091OpenAlexW2796955503WikidataQ129984574 ScholiaQ129984574MaRDI QIDQ1672560
Jinghua Wang, Hongde Qin, Shiqiang Yan, Qingwei Ma
Publication date: 10 September 2018
Published in: European Journal of Mechanics. B. Fluids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.euromechflu.2018.04.004
KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)
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Cites Work
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- Rogue waves in the ocean
- New method for numerical simulation of a nonstationary potential flow of incompressible fluid with a free surface
- Computation formulas by FFT of the nonlinear orbital velocity in three-dimensional surface wave fields
- Traveling water waves: Spectral continuation methods with parallel implementation
- 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
- Solitons, cnoidal waves and nonlinear interactions in shallow-water ocean surface waves
- Numerical modeling of the KdV random wave field
- Quasi ALE finite element method for nonlinear water waves
- A fast method for fully nonlinear water-wave computations
- Numerical modelling of water-wave evolution based on the Zakharov equation
- Geometric numerical schemes for the KdV equation
- Numerical techniques on improving computational efficiency of spectral boundary integral method
- On the non-linear energy transfer in a gravity-wave spectrum Part 1. General theory
- Wave evolution over a gradual slope with turbulent friction
- Non-Gaussian Properties of Shallow Water Waves in Crossing Seas
- A numerical study of water-wave modulation based on a higher-order nonlinear Schrödinger equation
- A high-order spectral method for the study of nonlinear gravity waves
- Wave interactions - the evolution of an idea
- The deformation of steep surface waves on water - I. A numerical method of computation
- Dynamics and Modelling of Ocean Waves
- Evolution of a narrow-band spectrum of random surface gravity waves
- On three-dimensional packets of surface 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
- On some consequences of the canonical transformation in the Hamiltonian theory of water waves
- Evolution of solitary waves and undular bores in shallow-water flows over a gradual slope with bottom friction
- Wave Instabilities
- Model equations for long waves in nonlinear dispersive systems
- Dynamics of crescent water wave patterns
