INTERACTION OF A SUBSURFACE BUBBLE LAYER WITH LONG INTERNAL WAVES

Sergey L. Gavrilyuk (1) , Valery Liapidevskii (2) , Alexander Chesnokov (3)

1 IUSTI - Institut universitaire des systèmes thermiques industriels
2 LIH - Lavrentyev Institute of Hydrodynamics
3 Lavrentyev Institute of Hydrodynamics

A two-layer model describing the interaction of a shear bubble layer formed by breaking waves and an underlying potential layer is derived in shallow water approximation. A non-hydrostatic formulation taking into account the entrainment effects in shear flows is proposed. Time and space periodic solutions are found, and some basic problems (the formation of bores and periodic structures from a uniform flow) are numerically solved.

Mots clés: breaking waves; shear flows; two-layer shallow water flows

Domaines: Equations aux dérivées partielles [math.AP]; Science non linéaire [physics]; Sciences de l'ingénieur [physics]

Sergey L. Gavrilyuk, Valery Liapidevskii, Alexander Chesnokov. INTERACTION OF A SUBSURFACE BUBBLE LAYER WITH LONG INTERNAL WAVES. European Journal of Mechanics - B/Fluids, In press. ⟨hal-01712853⟩