An accurate sharp interface method for two-phase compressible flows at low-Mach regime
Résumé
An accurate numerical approach is presented for computing two-phase flows at low-Mach regime. Approaches based on an
incompressibility assumption are rather robust and efficient, but some compressible effects can occur in this kind of flow
and may impact the behavior of the fluid. In order to develop an accurate model, both the liquid and gas are considered
compressible and described by a precise compressible solver. An all regime numerical scheme has been used to eliminate the
extra numerical dissipation. The interface between two-phase flows is captured by the Level-Set method (Osher and Sethian
1988) and considered to be sharp. The interface capturing issue of the Level-Set method within the Eulerian framework is
the key point of the two-phase flow simulations, and in this work we propose an high-order coupled time-space approach
for interface advection. Two numerical test-cases have been employed to validate and enlighten the good performance of the
present numerical approach.