An operator expansion method for computing nonlinear surface waves on a ferrofluid jet

DOI10.1016/j.jcp.2016.05.055zbMath1349.76028OpenAlexW2416144349MaRDI QIDQ726939

Philippe Guyenne, Emilian I. Părău

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://ueaeprints.uea.ac.uk/id/eprint/59163/1/Guyenne_Parau.pdf

zbMATH Keywords

solitary wavesseries expansionpseudo-spectral methodDirichlet-Neumann operatorferrofluid jet

Mathematics Subject Classification ID

Spectral methods applied to problems in fluid mechanics (76M22) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10)

Related Items

Reformulated Weak Formulation and Efficient Fully Discrete Finite Element Method for a Two-Phase Ferrohydrodynamics Shliomis Model ⋮ Modeling shape deformation of ferrofluid ring section and secondary flow in ferrofluid seals with rectangular polar teeth using BEM and FVM ⋮ Travelling wave solutions on an axisymmetric ferrofluid jet ⋮ Well-posedness of axisymmetric nonlinear surface waves on a ferrofluid jet ⋮ Orbital stability of solitary waves on a ferrofluid jet

Cites Work

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• An operator expansions method for computing Dirichlet-Neumann operators in linear elastodynamics
• Numerical simulation of gravity waves
• A stable, high-order method for three-dimensional, bounded-obstacle, acoustic scattering
• Numerical simulation of three-dimensional nonlinear water waves
• Removing the stiffness from interfacial flows with surface tension
• The modulational regime of three-dimensional water waves and the Davey-Stewartson system
• Exact non-reflecting boundary conditions on general domains.
• Traveling gravity water waves in two and three dimensions.
• Gravity waves on the surface of the sphere
• Hamiltonian higher-order nonlinear Schrödinger equations for broader-banded waves on deep water
• Computing nearly singular solutions using pseudo-spectral methods
• A new approach to analyticity of Dirichlet-Neumann operators
• The surface signature of internal waves
• Solitary waves on a ferrofluid jet
• A High-Order Spectral Method for Nonlinear Water Waves over Moving Bottom Topography
• Computations of fully nonlinear hydroelastic solitary waves on deep water
• Analyticity of Dirichlet--Neumann Operators on Hölder and Lipschitz Domains
• Inverse formulation and finite difference solution for flow from a circular orifice
• Hamiltonian long‐wave expansions for free surfaces and interfaces
• Solitary water wave interactions
• Stability of high-order perturbative methods for the computation of Dirichlet-Neumann operators
• Axisymmetric capillary waves.

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