Berezin, A.; Perepelkina, A.; Ivanov, A.; Levchenko, V. Recalibration of LBM Populations for Construction of Grid Refinement with No Interpolation. Fluids2023, 8, 179.
Berezin, A.; Perepelkina, A.; Ivanov, A.; Levchenko, V. Recalibration of LBM Populations for Construction of Grid Refinement with No Interpolation. Fluids 2023, 8, 179.
Berezin, A.; Perepelkina, A.; Ivanov, A.; Levchenko, V. Recalibration of LBM Populations for Construction of Grid Refinement with No Interpolation. Fluids2023, 8, 179.
Berezin, A.; Perepelkina, A.; Ivanov, A.; Levchenko, V. Recalibration of LBM Populations for Construction of Grid Refinement with No Interpolation. Fluids 2023, 8, 179.
Abstract
Grid refinement is used to save computing costs while preserving high precision of fluid simulation. In the Lattice Boltzmann Method, grid refinement often uses interpolated values. We found a method, where interpolation in space and time is not required. For this purpose, we used the moment matching condition and rescaling the non-equilibrium part of populations, and developed the recalibration procedure that allows to transfer information between different LBM stencils in the simulation domain. Then, we build non-uniform lattice which uses stencils with different shapes on the transition. The resulting procedure is verified on the 2D Poisselle flow and the advected vortex benchmark. In prospect, grids with adaptive geometry can be built with the use of the proposed method.
Keywords
Lattice Boltzmann Method; Grid refinement; non-uniform grid; moment matching
Subject
Computer Science and Mathematics, Applied Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
