A discrete unified gas-kinetic scheme for immiscible two-phase flows
arXiv:1802.02868 · doi:10.1016/j.ijheatmasstransfer.2018.06.016
Abstract
In this work, we extend the discrete unified gas-kinetic scheme (DUGKS) [Guo et al., Phys. Rev. E 88, 033305 (2013)] to continue two-phase flows. In the framework of DUGKS, two kinetic model equations are used to solve the quasi-incompressible phase-field governing equations [Yang et al., Phys. Rev.E 93, 043303 (2016)]. One is for the Chan-Hilliard (CH) equation and the other is for the Navier-Stokes equations. The DUGKS can correctly recover the quasi-incompressible phase-field governing equations through the Chapman-Enskog analysis. Unlike previous phase-field-based LB models, the Courant-Friedricks-Lewy condition in DUGKS is ajustable which can increase numerical stability. Furthermore, with the finite-volume formulation the model can be easily implemented on non-uniform meshes which can improve numerical precision. The proposed model is validated by simulating a stationary drop, layered Poiseuille flow, rising bubble and Rayleigh-Taylor instability and comparing with the quasi-incompressible lattice Boltzmann method (LBM). Numerical results show that the method can track the interface with high accuracy and stability. The model is also capable of dealing with a wider range of viscosity and density ratios than the quasi-incompressible lattice Boltzmann model. The present model is a promising tool for numerical simulation of two-phase flows.
arXiv comment23 pages,10 figures
References in corpus (7)
- Lattice Boltzmann Simulation of Non-Ideal Fluids
- Lattice Boltzmann modeling of multiphase flows at large density ratio with an improved pseudopotential model
- A Lattice Boltzmann Model for Multi-phase Fluid Flows
- A Unified Gas-kinetic Scheme for Continuum and Rarefied Flows IV: full Boltzmann and Model Equations
- Additional interfacial force in lattice Boltzmann models for incompressible multiphase flows
- A numerical method for the quasi-incompressible Cahn-Hilliard-Navier-Stokes equations for variable density flows with a discrete energy law
- A lattice Boltzmann method for binary fluids based on mass-conserved quasi-incompressible phase-field theory
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