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math.NA2025
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…
math.NA2024
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…
math.NA2024★ 1 cited
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…