A volume-of-fluid method for interface-resolved simulations of phase-changing two-fluid flows

Abstract

We present a numerical method for interface-resolved simulations of evaporating two-fluid flows based on the volume-of-fluid (VoF) method. The method has been implemented in an efficient FFT-based two-fluid Navier-Stokes solver, using an algebraic VoF method for the interface representation, and extended with the transport equations of thermal energy and vaporized liquid mass for the single-component evaporating liquid in an inert gas. The conservation of vaporizing liquid and computation of the interfacial mass flux are performed with the aid of a reconstructed signed-distance field, which enables the use of well-established methods for phase change solvers based on level-set methods. The interface velocity is computed with a novel approach that ensures accurate mass conservation, by constructing a divergence-free extension of the liquid velocity field onto the entire domain. The resulting approach does not depend on the type of interface reconstruction (i.e.\ can be employed in both algebraic and geometrical VoF methods). We extensively verified and validated the overall method against several benchmark cases, and demonstrated its excellent mass conservation and good overall performance for simulating evaporating two-fluid flows in two and three dimensions.

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Cited by in corpus (13)

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• A consistent volume-of-fluid approach for direct numerical simulation of the aerodynamic breakup of a vaporizing drop
• Morphology of clean and surfactant-laden droplets in homogeneous isotropic turbulence
• A pressure-based diffuse interface method for low-Mach multiphase flows with mass transfer
• Evaporating Rayleigh-Bénard convection: prediction of interface temperature and global heat transfer modulation
• Aerodynamically-driven rupture of a liquid film by turbulent shear flow
• A Hybrid Immersed-Boundary/Front-Tracking Method for Interface-Resolved Simulation of Droplet Evaporation
• A consistent diffuse-interface model for two-phase flow problems with rapid evaporation
• A Momentum Balance Correction to the Non-Conservative One-Fluid Formulation in Boiling Flows using Volume-of-Fluid
• A novel simulation approach for concentration-driven evaporation in capillaries
• A FFT-accelerated multi-block finite-difference solver for massively parallel simulations of incompressible flows