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Elimination of Nonlinear Deviations in Thermal Lattice BGK Models

1993/10/05 by Yu Chen, Chen, Yu, Hirotada Ohashi +3
Earth and Planetary Sciences · Engineering · Mathematics · #Cellular Automata and Lattice Gases (nlin.CG) #FOS: Physical sciences #Fluid Dynamics and Turbulent Flows #Gas Dynamics and Kinetic Theory #Meteorological Phenomena and Simulations

paper · pdf · doi:10.48550/arxiv.comp-gas/9310001

openalex publication_date 1993/10/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Abstracet: We present a new thermal lattice BGK model in D-dimensional space for the numerical calculation of fluid dynamics. This model uses a higher order expansion of equilibrium distribution in Maxwellian type. In the mean time the lattice symmetry is upgraded to ensure the isotropy of 6th order tensor. These manipulations lead to macroscopic equations free from nonlinear deviations. We demonstrate the improvements by conducting classical Chapman-Enskog analysis and by numerical simulation of shear wave flow. The transport coefficients are measured numerically, too.

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