Spectral stability of traveling water waves: eigenvalue collision, singularities, and direct numerical simulation
From MaRDI portal
Publication:629020
DOI10.1016/j.physd.2010.09.013zbMath1388.76103OpenAlexW2090381850MaRDI QIDQ629020
Publication date: 8 March 2011
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2010.09.013
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Spectral methods applied to problems in fluid mechanics (76M22) Direct numerical and large eddy simulation of turbulence (76F65) Interfacial stability and instability in hydrodynamic stability (76E17)
Related Items
Sufficiently strong dispersion removes ill-posedness in truncated series models of water waves, On stability of generalized short-crested water waves, The spectrum of finite depth water waves, Spectral Stability of Deep Two‐Dimensional Gravity‐Capillary Water Waves, Modulational instabilities of periodic traveling waves in deep water
Uses Software
Cites Work
- Numerical simulation of gravity waves
- Instability and stability of rolls in the Swift-Hohenberg equation
- Traveling gravity water waves in two and three dimensions.
- Stable, high-order computation of traveling water waves in three dimensions
- Spectral stability of traveling water waves: analytic dependence of the spectrum
- Stable computation of the functional variation of the Dirichlet-Neumann operator
- Spectral data for travelling water waves: singularities and stability
- Stability of water waves
- The instabilities of gravity waves of finite amplitude in deep water I. Superharmonics
- The instabilities of gravity waves of finite amplitude in deep water II. Subharmonics
- On analyticity of travelling water waves
- The disintegration of wave trains on deep water Part 1. Theory
- Stability of high-order perturbative methods for the computation of Dirichlet-Neumann operators
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item