Well-balanced lattice Boltzmann equation for two-phase flows
arXiv:2012.11075 · doi:10.1063/5.0041446
Abstract
The standard lattice Boltzmann equation (LBE) method usually fails to capture the physical equilibrium state of a two-phase fluid system, i.e., zero velocity and constant chemical potential. Consequently, spurious velocities and inconsistent thermodynamic density properties are frequently encountered in LBE simulations. In this work, based on a rigorous analysis of the discrete balance equation of LBE, we identify the structure of the force imbalance due to discretization errors from different parts. Then a well-balanced LBE is proposed which can achieve the discrete equilibrium state. The well-balanced properties of the LBE are confirmed by some numerical tests of a flat interface problem and a droplet system.
arXiv comment9 papes, 5 figures; presented at the 11th Conference on Fluid Dynamics of China (Shen Zheng, Dec. 2-7, 2020)
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- Velocity Discretization for Lattice Boltzmann Method for Noncontinuum Bounded Gas Flows at the Micro and Nanoscale
- Boundary vorticity dynamics of two-phase viscous flow
- Local mesh refinement sensor for the lattice Boltzmann method