Recalibration of LBM Populations for Construction of Grid Refinement with No Interpolation

Author:

Berezin Arseniy12ORCID,Perepelkina Anastasia2ORCID,Ivanov Anton2ORCID,Levchenko Vadim2ORCID

Affiliation:

1. Department of Theoretical Nuclear Physics, National Research Nuclear University “MEPhI”, Kashirskoe Highway, 31, 115409 Moscow, Russia

2. Keldysh Institute of Applied Mathematics, Miusskaya Sq. 4, 125047 Moscow, Russia

Abstract

Grid refinement is used to reduce computing costs while maintaining the precision of fluid simulation. In the lattice Boltzmann method (LBM), grid refinement often uses interpolated values. Here, we developed a method in which interpolation in space and time is not required. For this purpose, we used the moment matching condition and rescaled the nonequilibrium part of the populations, thereby developing a recalibration procedure that allows for the transfer of information between different LBM stencils in the simulation domain. Then, we built a nonuniform lattice that uses stencils with different shapes on the transition. The resulting procedure was verified by performing benchmarks with the 2D Poisselle flow and the advected vortex. It is suggested that grids with adaptive geometry can be built with the proposed method.

Funder

Russian Science Foundation

Publisher

MDPI AG

Subject

Fluid Flow and Transfer Processes,Mechanical Engineering,Condensed Matter Physics

Reference56 articles.

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5. Heterogeneous LBM Simulation Code with LRnLA Algorithms;Levchenko;Commun. Comput. Phys.,2023

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