Electrohydrodynamic effects on bubble dynamics during nucleate pool boiling under the leaky dielectric assumption

JD Yao, K Luo, J Wu, HL Yi - Physics of Fluids, 2022 - pubs.aip.org
In this paper, a numerical investigation of bubble dynamics during nucleate pool boiling is
conducted using the lattice Boltzmann method (LBM). Unlike the perfectly dielectric fluid …

Linear barycentric rational collocation method for solving heat conduction equation

J Li, Y Cheng - Numerical Methods for Partial Differential …, 2021 - Wiley Online Library
The linear barycentric rational collocation method for solving heat conduction equation is
presented. The matrix form of discrete heat conduction equation by collocation method is …

[HTML][HTML] Lattice Boltzmann modeling of wall-bounded ternary fluid flows

H Liang, J Xu, J Chen, Z Chai, B Shi - Applied Mathematical Modelling, 2019 - Elsevier
Starting from the phase-field perspective, we first formulate a novel wetting boundary
condition to describe the interactions among ternary fluids and a solid and then we propose …

Lattice Boltzmann simulations of the double-diffusive natural convection and oscillation characteristics in an enclosure with Soret and Dufour effects

H Xu, Z Luo, Q Lou, S Zhang, J Wang - International Journal of Thermal …, 2019 - Elsevier
Lattice Boltzmann method (LBM) is used for examining the double-diffusive natural
convection around a heated cylinder in a square enclosure with Soret and Dufour effects …

An optimal two-relaxation-time lattice Boltzmann equation for solid-liquid phase change: The elimination of unphysical numerical diffusion

JH Lu, HY Lei, CS Dai - International Journal of Thermal Sciences, 2019 - Elsevier
This paper proposes an optimal two-relaxation-time (OTRT) lattice Boltzmann equation
(LBE) for solid-liquid phase change. By using the Chapman-Enskog expansion, the OTRT …

Lattice Boltzmann simulation of melting in a cubical cavity with a local heat-flux source

Y Zhao, B Shi, Z Chai, L Wang - International Journal of Heat and Mass …, 2018 - Elsevier
A three-dimensional numerical study is conducted to investigate the effect of heat-flux
source location on the melting of phase change material (PCM) in a cubical cavity. An …

Lattice Boltzmann method for fractional Cahn-Hilliard equation

H Liang, C Zhang, R Du, Y Wei - Communications in Nonlinear Science …, 2020 - Elsevier
Fractional phase field models have been reported to suitably describe the anomalous two-
phase transport in heterogeneous porous media, evolution of structural damage, and image …

[HTML][HTML] High-order upwind compact finite-difference lattice Boltzmann method for viscous incompressible flows

YX Sun, ZF Tian - Computers & Mathematics with Applications, 2020 - Elsevier
In this work, a high-order upwind compact finite-difference lattice Boltzmann method
(UCDLBM) is developed to efficiently solve viscous incompressible flow problems. A fifth …

Lattice Boltzmann model for high-order nonlinear partial differential equations

Z Chai, N He, Z Guo, B Shi - Physical Review E, 2018 - APS
In this paper, a general lattice Boltzmann (LB) model is proposed for the high-order
nonlinear partial differential equation with the form∂ t ϕ+∑ k= 1 m α k∂ xk Π k (ϕ)= 0 (1≤ …

General propagation lattice Boltzmann model for nonlinear advection-diffusion equations

X Guo, B Shi, Z Chai - Physical Review E, 2018 - APS
In this paper, a general propagation lattice Boltzmann model is proposed for nonlinear
advection-diffusion equations (NADEs), and the Chapman-Enskog analysis shows that the …