AUTHOR=Chekhlov Alexei , Staroselsky Ilya , Zhang Raoyang , Chen Hudong TITLE=Lattice Boltzmann model in general curvilinear coordinates applied to exactly solvable 2D flow problems JOURNAL=Frontiers in Applied Mathematics and Statistics VOLUME=Volume 8 - 2022 YEAR=2023 URL=https://www.frontiersin.org/journals/applied-mathematics-and-statistics/articles/10.3389/fams.2022.1066522 DOI=10.3389/fams.2022.1066522 ISSN=2297-4687 ABSTRACT=Numerical simulation results of basic exactly solvable fluid flows using the previously proposed Lattice Boltzmann Method (LBM) formulated on a general curvilinear coordinate system (see: Hudong Chen, Frontiers in Applied Mathematics and Statistics, 7:1–11, June 2021) are presented. As was noted in (see: Hudong Chen, Frontiers in Applied Mathematics and Statistics, 7:1–11, June 2021), such curvilinear Lattice Boltzmann Method preserves a fundamental one-to-one exact advection feature in producing minimal numerical diffusion, as the Cartesian lattice Boltzmann model. As we numerically show, the new model converges to exact solutions of basic fluid flows with the increase of grid resolution in the presence of both natural curvilinear geometry and/or grid non-uniform contraction, both for near equilibrium and non-equilibrium LBM parameter choices.