Direct numerical simulation of compressible interfacial multiphase flows using a mass–momentum–energy consistent volume-of-fluid method

A Consistent Volume-of-Fluid Approach for Direct Numerical Simulation of the Aerodynamic Breakup of a Vaporizing Drop

“…Furthermore, the advection methods for mass, momentum, and energy across the interface are consistent. The consistent advection approach is similar to the methods of Zhang et al [59] for compressible interfacial multiphase flows and thus will make the future extension of the present methods toward compressible flows easier. The energy to be advected in the upwind cell is computed based on the linear reconstruction of the variable using the Bell-Colella-Glaz scheme and the minmod slope limiter [69,55].…”

“…This consistency between mass and momentum advection has been shown to be important for interfacial multiphase flows with large-density contrast [58]. The consistency among mass, momentum, and energy is also shown to be important to get accurate pressure and velocity across the interface for compressible flows [59]. Second, we have proposed a novel treatment to handle the vaporizationinduced volumetric source, by which the VOF represented interfaces can be advected accurately and the Stefan flow in the gas phase can be rigorously captured.…”