Hydraulic jumps in two-layer flows with a free surface

Sergey Gavrilyuk (1) , Maria Kazakova (2)

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

A closure relation is proposed for description of hydraulic jumps in two-layer flows with a free surface over a horizontal bottom. Such a relation comes from the momentum equations of each layer which become in a sense conservative when the total momentum and the masses in each layer are conserved. It is also shown that this relation guarantees that the energy flux decreases through the jump.

Mots clés: two-layer flows; hydraulic jumps; non-conservative hyperbolic systems

Domaines: Physique mathématique [math-ph]; Mécanique des fluides [physics.class-ph]; Mécanique des fluides [physics.class-ph]

Sergey Gavrilyuk, Maria Kazakova. Hydraulic jumps in two-layer flows with a free surface. 2014. ⟨hal-00956266⟩