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KIAM Preprint  19, Moscow, 2024
Authors: Berezin A.V., Levchenko V.D., Perepelkina A.Y.
Interpolation free LBM on non-uniform grids with TRT collision operator
Lattice Boltzmann method (LBM) is a modern numerical scheme for solving fluid dynamics problems. LBM is easy to implement and it has a great potential for modifications. One of the priority LBM development directions is the correct construction of such a scheme on non-uniform spatial grids. However, at the moment, it requires interpolation and often deprives the scheme of the classical LBM advantages. We developed and tested an interpolation-free method for constructing athermal node-based LBM on non-uniform meshes with the TRT collision operator. The method is based on the use of different LBM stencils near the transition boundary of a non-uniform grid, together with a two-step procedure for transformation of populations corresponding to different LBM stencils.
LatticeBoltzmann method, grid refinement, LBM populations transformation, moment matching, TRT collision operator
Publication language: russian,  pages: 32
Research direction:
Mathematical problems and theory of numerical methods
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About authors:
  • Berezin Arseniy Vladimirovich, RAS
  • Levchenko Vadim Dmitrievich, RAS
  • Perepelkina Anastasia Yurievna, RAS