On the speed of solitary waves running down a vertical wall

C. Ruyer-Quil (1) , Paul Manneville (2)

1 FAST - Fluides, automatique, systèmes thermiques
2 LadHyX - Laboratoire d'hydrodynamique

Solitary-wave solutions to surface equations or two-equation models of film flows are investigated within the framework of dynamical system theory. The limiting behaviour of one-humped solitary waves (homoclinic orbits) at large Reynolds numbers is considered. Their predicted speed is in good agreement with numerical findings. The theory also explains the absence of solitary-wave solutions to the Benney equation in the same limit. © 2005 Cambridge University Press.

Domains: Physics [physics]; Mechanics [physics]; Fluid mechanics [physics.class-ph]; Engineering Sciences [physics]; Mechanics [physics.med-ph]; Fluids mechanics [physics.class-ph]

C. Ruyer-Quil, Paul Manneville. On the speed of solitary waves running down a vertical wall. Journal of Fluid Mechanics, 2005, 531, pp.181-190. ⟨10.1017/s0022112005003885⟩. ⟨hal-01024966⟩