# Séminaire de Mécanique d'Orsay

## Le Jeudi 13 juin 2019 à 14h00 - Salle de conférences du LIMSI

### Numerical modelling of multiphase liquid-vapor-gas flows with interfaces and cavitation

## Marica Pelanti

ENSTA

We are interested in the simulation of multiphase flows that consist of the liquid and vapor phases of
one species and a third inert gaseous phase. We describe these flows by a hyperbolic single-velocity
multiphase compressible flow model composed of the phasic mass and total energy equations, the volume
fraction equations, and the mixture momentum equation. The model includes stiff mechanical and thermal
relaxation source terms for all the phases, and chemical relaxation terms to describe mass transfer
between the liquid and vapor phases of the species that may undergo transition.
The flow equations are solved by a mixture-energy-consistent finite volume wave propagation scheme based
on a HLLC-type Riemann solver, combined with simple and robust procedures for the treatment of the stiff
relaxation terms. An analytical study of the characteristic wave speeds of the hierarchy of relaxed models
associated to the parent model system is also presented. We show several numerical experiments, including
two-dimensional simulations of underwater explosive phenomena where highly pressurized gases trigger
cavitation processes close to a rigid surface and to a free surface.

Accès Salle de conférences du LIMSI