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math.NA2025
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…
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…