A note on time integrators in water-wave simulations

DOI10.1007/s10665-006-9106-6zbMath1117.76045OpenAlexW2016806457MaRDI QIDQ2643647

Dorian Fructus, Didier Clamond, John Grue

Publication date: 27 August 2007

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-006-9106-6

zbMATH Keywords

stabilization procedureRunge-Kutta integratorsvariable time-step control

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods applied to problems in fluid mechanics (76M20)

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Nonlinear interfacial wave formation in three dimensions ⋮ Numerical techniques on improving computational efficiency of spectral boundary integral method ⋮ Comparison of some Lie-symmetry-based integrators ⋮ A pseudospectral Fourier method for a 1D incompressible two-fluid model

Uses Software

• RODAS

Cites Work

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• Exponential Integrators for Large Systems of Differential Equations
• Explicit, Time Reversible, Adaptive Step Size Control
• The numerical computation of freely propagating time-dependent irrotational water waves

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