Numerical simulation of a weakly nonlinear model for water waves with viscosity

DOI10.1007/s10915-009-9324-yzbMath1203.76026OpenAlexW2159003917MaRDI QIDQ618543

David P. Nicholls, Maria Kakleas

Publication date: 16 January 2011

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-009-9324-y

zbMATH Keywords

filteringspectral methodwater wavesweak surface viscosityweakly nonlinear model

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items

On the motion of gravity-capillary waves with odd viscosity ⋮ Well-posedness and analyticity of solutions to a water wave problem with viscosity ⋮ Well-posedness of water wave model with viscous effects ⋮ Well-posedness of the water-wave with viscosity problem ⋮ Unnamed Item ⋮ Models for Damped Water Waves ⋮ Computing the Dirichlet--Neumann Operator on a Cylinder

Cites Work

• Theory of weakly damped free-surface flows: a new formulation based on potential flow solutions
• Numerical simulation of gravity waves
• A new approach to analyticity of Dirichlet-Neumann operators
• The effects of truncation on surface-wave Hamiltonians
• A fast method for nonlinear three-dimensional free-surface waves
• A transport-equation description of nonlinear ocean surface wave interactions
• On analyticity of travelling water waves
• The numerical computation of freely propagating time-dependent irrotational water waves
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