Scientific article
Open access

Viscous damping of gravity-capillary waves: Dispersion relations and nonlinear corrections

Published inPhysical Review Fluids, vol. 3, no. 12, 124803
Publication date2018

We discuss the impact of viscosity on nonlinear propagation of surface waves at the interface of air and a fluid of large depth. After a survey of the available approximations of the dispersion relation, we propose to modify the hydrodynamic boundary conditions to model both short and long waves. From them, we derive a nonlinear Schrödinger equation where both linear and nonlinear parts are modified by dissipation and show that the former plays the main role in both gravity and capillary-gravity waves while, in most situations, the latter represents only small corrections. This provides a justification of the conventional approaches to damped propagation found in the literature.

  • Fluid mechanics
  • Surface waves
  • Nonlinear waves
  • Viscosity
Citation (ISO format)
ARMAROLI, Andrea et al. Viscous damping of gravity-capillary waves: Dispersion relations and nonlinear corrections. In: Physical Review Fluids, 2018, vol. 3, n° 12, p. 124803. doi: 10.1103/PhysRevFluids.3.124803
Main files (1)
Article (Accepted version)
ISSN of the journal2469-990X

Technical informations

Creation12/17/2018 3:18:00 PM
First validation12/17/2018 3:18:00 PM
Update time03/15/2023 3:17:13 PM
Status update03/15/2023 3:17:13 PM
Last indexation05/03/2024 6:52:54 AM
All rights reserved by Archive ouverte UNIGE and the University of GenevaunigeBlack