An accurate sharp interface method for two-phase compressible flows at low-mach regime

Ziqiang Zou (1, 2) , Edouard Audit (2) , Nicolas Grenier (1) , Christian Tenaud (1)

1 LIMSI - Laboratoire d'Informatique pour la Mécanique et les Sciences de l'Ingénieur
2 MDLS - Maison de la Simulation

An accurate numerical approach is presented for computing two-phase flows with surface tension at low-Mach regime. To develop such a model, where slight compressible effects are taken into account as well as correct thermodynamical closures, both the liquid and the gas are considered compressible and described by a precise compressible solver. A low-Mach correction has been implemented to eliminate excessive numerical dissipation. The interface between two-phase flows is captured by the level set method that is consid- ered 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 pro- pose a high-order coupled time-space approach for interface advection. Several numerical test-cases have been employed to validate the present numerical approach and enlighten its good performance.

Mots clés: Two-phase flows; Compressible flows; Level set method; Ghost fluid method; Surface tension; Low-Mach correction

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

Ziqiang Zou, Edouard Audit, Nicolas Grenier, Christian Tenaud. An accurate sharp interface method for two-phase compressible flows at low-mach regime. Flow, Turbulence and Combustion, 2020, 105, pp.1413-1444. ⟨10.1007/s10494-020-00125-1⟩. ⟨hal-02965044⟩