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Main Authors: Lin, Chuandong, Su, Xianli, Fei, Linlin, Luo, Kai Hong
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2502.16818
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author Lin, Chuandong
Su, Xianli
Fei, Linlin
Luo, Kai Hong
author_facet Lin, Chuandong
Su, Xianli
Fei, Linlin
Luo, Kai Hong
contents In this work, a central-moment-based discrete Boltzmann method (CDBM) is constructed for fluid flows with variable specific heat ratios. The central kinetic moments are employed to calculate the equilibrium discrete velocity distribution function in the CDBM. In comparison to previous incompressible central-moment-based lattice Boltzmann method, the CDBM possesses the capability of investigating compressible flows with thermodynamic nonequilibrium effects beyond conventional hydrodynamic models. Unlike all existing DBMs which are constructed in raw-moment space, the CDBM stands out by directly providing the nonequilibrium effects related to the thermal fluctuation. The proposed method has been rigorously validated using benchmarks of the Sod shock tube, Lax shock tube, shock wave phenomena, two-dimensional sound wave, and the Taylor-Green vortex flow. The numerical results exhibit an exceptional agreement with theoretical predictions.
format Preprint
id arxiv_https___arxiv_org_abs_2502_16818
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Central-moment-based discrete Boltzmann modeling of compressible flows
Lin, Chuandong
Su, Xianli
Fei, Linlin
Luo, Kai Hong
Fluid Dynamics
In this work, a central-moment-based discrete Boltzmann method (CDBM) is constructed for fluid flows with variable specific heat ratios. The central kinetic moments are employed to calculate the equilibrium discrete velocity distribution function in the CDBM. In comparison to previous incompressible central-moment-based lattice Boltzmann method, the CDBM possesses the capability of investigating compressible flows with thermodynamic nonequilibrium effects beyond conventional hydrodynamic models. Unlike all existing DBMs which are constructed in raw-moment space, the CDBM stands out by directly providing the nonequilibrium effects related to the thermal fluctuation. The proposed method has been rigorously validated using benchmarks of the Sod shock tube, Lax shock tube, shock wave phenomena, two-dimensional sound wave, and the Taylor-Green vortex flow. The numerical results exhibit an exceptional agreement with theoretical predictions.
title Central-moment-based discrete Boltzmann modeling of compressible flows
topic Fluid Dynamics
url https://arxiv.org/abs/2502.16818