A general fourth-order mesoscopic multiple-relaxation-time lattice Boltzmann model and its macroscopic finite-difference scheme for two-dimensional diffusion …

Y Chen, Z Chai, B Shi - Journal of Computational Physics, 2024 - Elsevier
In this work, we first develop a general mesoscopic multiple-relaxation-time lattice
Boltzmann (MRT-LB) model for the two-dimensional diffusion equation with the constant …

Macroscopic finite-difference scheme and modified equations of the general propagation multiple-relaxation-time lattice Boltzmann model

Y Chen, X Liu, Z Chai, B Shi - Physical Review E, 2024 - APS
In this paper we first present the general propagation multiple-relaxation-time lattice
Boltzmann (GPMRT-LB) model and obtain the corresponding macroscopic finite-difference …

A general fourth-order mesoscopic multiple-relaxation-time lattice Boltzmann model and equivalent macroscopic finite-difference scheme for two-dimensional diffusion …

Y Chen, Z Chai, B Shi - arXiv preprint arXiv:2308.05280, 2023 - arxiv.org
In this work, we first develop a general mesoscopic multiple-relaxation-time lattice
Boltzmann (MRT-LB) model for the two-dimensional diffusion equation with the constant …

[PDF][PDF] Lattice Boltzmann Methods for Partial Differential Equations

S Simonis - 2023 - core.ac.uk
Lattice Boltzmann methods provide a robust and highly scalable numerical technique in
modern computational fluid dynamics. Besides the discretization procedure, the relaxation …

Macroscopic finite-difference scheme based on the mesoscopic regularized lattice-Boltzmann method

X Liu, Y Chen, Z Chai, B Shi - Physical Review E, 2024 - APS
In this paper, we develop a macroscopic finite-difference scheme from the mesoscopic
regularized lattice Boltzmann (RLB) method to solve the Navier-Stokes equations (NSEs) …

Investigation of mesoscopic boundary conditions for lattice Boltzmann method in laminar flow problems

P Eichler, R Fučík, P Strachota - Computers & Mathematics with …, 2024 - Elsevier
For use with the lattice Boltzmann method, the macroscopic boundary conditions need to be
transformed into their mesoscopic counterparts. Commonly used mesoscopic boundary …

Matematické modelování neizotermálního turbulentního proudění při obtékání překážek pomocí mřížkové Boltzmannovy metody

H Dominik - 2024 - dspace.cvut.cz
Práce se zabývá matematickým modelováním neizotermálního turbulentního proudění
nestlačitelné newtonovské tekutiny. Práce si klade za cíl implementovat a otestovat přestup …