LATTICE- BOLTZMANN METHOD FOR SIMULATING TWO-COMPONENT FLUID FLOWS
Open Access
- 1 January 2020
- journal article
- research article
- Published by al-Farabi Kazakh National University in International Journal of Mathematics and Physics
- Vol. 11 (2), 32-40
- https://doi.org/10.26577/ijmph.2020.v11.i2.05
Abstract
In this work, a model of binary fluids with different densities and viscosities based on the solution of the Navier-Stokes equations, the continuity and the Cahn-Hilliard equation is developed. The process of influence of surface tension and interface thickness on the phase fields of fluids is investigated. The numerical results of the study are obtained on the basis of a phase field model using the lattice Boltzmann method (LBM). The LME uses two sets of distribution functions for incompressible flow: one for tracking the pressure and velocity fields and the other for the phase field. The use of the pressure distribution function can significantly reduce the effect of numerical errors in calculating the interfacial force. A several 2D tests are carried out to demonstrate the validation, which included droplet problem and the Raleigh- Taylor instability. It is shown that the proposed method allows tracking the interface with high accuracy and stability. Key words: phase field, binary fluid, surface tension, chemical potential, lattice Boltzmann method. In this work, a model of binary fluids with different densities and viscosities based on the solution of the Navier-Stokes equations, the continuity and the Cahn-Hilliard equation is developed. The process of influence of surface tension and interface thickness on the phase fields of fluids is investigated. The numerical results of the study are obtained on the basis of a phase field model using the lattice Boltzmann method (LBM). The LME uses two sets of distribution functions for incompressible flow: one for tracking the pressure and velocity fields and the other for the phase field. The use of the pressure distribution function can significantly reduce the effect of numerical errors in calculating the interfacial force. A several 2D tests are carried out to demonstrate the validation, which included droplet problem and the Raleigh- Taylor instability. It is shown that the proposed method allows tracking the interface with high accuracy and stability. Key words: phase field, binary fluid, surface tension, chemical potential, lattice Boltzmann method.Keywords
This publication has 11 references indexed in Scilit:
- Moving contact line dynamics: from diffuse to sharp interfacesJournal of Fluid Mechanics, 2015
- Numerical study of drop motion on a surface with stepwise wettability gradient and contact angle hysteresisPhysics of Fluids, 2014
- Phase-field-based lattice Boltzmann model for incompressible binary fluid systems with density and viscosity contrastsPhysical Review E, 2013
- Three-dimensional binary-liquid lattice Boltzmann simulation of microchannels with rectangular cross sectionsChemical Engineering Journal, 2011
- Energy stable schemes for Cahn-Hilliard phase-field model of two-phase incompressible flowsChinese Annals of Mathematics, Series B, 2010
- A Phase-Field Model and Its Numerical Approximation for Two-Phase Incompressible Flows with Different Densities and ViscositiesSIAM Journal on Scientific Computing, 2010
- Coupling level set/VOF/ghost fluid methods: Validation and application to 3D simulation of the primary break-up of a liquid jetInternational Journal of Multiphase Flow, 2007
- A diffuse-interface method for simulating two-phase flows of complex fluidsJournal of Fluid Mechanics, 2004
- A lattice Boltzmann method for incompressible two-phase flows with large density differencesJournal of Computational Physics, 2004
- Discrete lattice effects on the forcing term in the lattice Boltzmann methodPhysical Review E, 2002