149 citations · 554 across the 47 of their papers we have counts for
47 papers
A unified MRT-LB framework for Navier-Stokes and nonlinear convection-diffusion equations and beyond: moment equations, auxiliary moments, multispeed lattices, and Hermite matrices
Baochang Shi, Xiaolei Yuan, Zhenhua Chai
We develop a unified multi-relaxation-time lattice Boltzmann (MRT-LB) framework based on discrete Hermite polynomials (Hermite matrices) for the Navier-Stokes equations (NSEs) and…
Equilibrium-distribution-function based mesoscopic finite-difference methods for partial differential equations: Modeling and Analysis
Baochang shi, Rui Du, Zhenhua Chai
In this paper, based on the idea of direct discrete modeling (DDM) with equilibrium distribution functions (EDFs), we develop a general framework of the mesoscopic numerical method…
An automatic approach to develop the fourth-order and L^2-stable lattice Boltzmann model for diagonal-anisotropic diffusion equations
Ying Chen, Zhenhua Chai, Baochang Shi
This paper discusses how to develop a high-order multiple-relaxation-time lattice Boltzmann (MRT-LB) model for the general d(>=1)-dimensional diagonal-anisotropic diffusion equatio…
Freezing dynamics of wetting droplet under a uniform electric field
Jiangxu Huang, Hanqing Li, Jiaqi Che +3
Electrofreezing is a powerful technique that employs the electric field to control and enhance the freezing process. In this work, a phase-field-based lattice Boltzmann (LB) method…
A unified fourth-order Bhatnagar-Gross-Krook lattice Boltzmann model for high-dimensional linear hyperbolic equations
Ying Chen, Zhenhua Chai, Baochang Shi
In this work, we first develop a unified Bhatnagar-Gross-Krook lattice Boltzmann (BGK-LB) model for the ()-dimensional linear hyperbolic equation (L-HE), where the natu…
Phase-field-based lattice Boltzmann method for the transport of insoluble surfactant in two-phase flows
Chengjie Zhan, Hong Liang, Zhenhua Chai +1
In this work, we present a general second-order phase-field model for the transport of insoluble surfactant in incompressible two-phase flows. In this model, the second-order local…