149 citations · 554 across the 47 of their papers we have counts for
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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…
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…
Regularized lattice Boltzmann method based maximum principle and energy stability preserving finite-difference scheme for the Allen-Cahn equation
Ying Chen, Xi Liu, Zhenhua Chai +1
The Allen-Cahn equation (ACE) inherently possesses two crucial properties: the maximum principle and the energy dissipation law. Preserving these two properties at the discrete lev…
A Cole-Hopf transformation based fourth-order multiple-relaxation-time lattice Boltzmann model for the coupled Burgers' equations
Ying Chen, Xi Liu, Zhenhua Chai +1
In this work, a Cole-Hopf transformation based fourth-order multiple-relaxation-time lattice Boltzmann (MRT-LB) model for d-dimensional coupled Burgers' equations is developed. We…
The macroscopic finite-difference scheme and modified equations of the general propagation multiple-relaxation-time lattice Boltzmann model
Ying Chen, Xi Liu, Zhenhua Chai +1
In this paper, we first present the general propagation multiple-relaxation-time lattice Boltzmann (GPMRT-LB) model and obtain the corresponding macroscopic finite-difference (GPMF…