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Central-moment-based discrete Boltzmann modeling of compressible flows

Lin, Chuandong; Su, Xianli; Fei, Linlin; Luo, Kai H; (2025) Central-moment-based discrete Boltzmann modeling of compressible flows. International Journal of Modern Physics C: Computational Physics and Physical Computation , Article 2650039. 10.1142/s0129183126500397. (In press). Green open access

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Abstract

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 distribution function in the CDBM. In comparison to the 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.

Type: Article
Title: Central-moment-based discrete Boltzmann modeling of compressible flows
Open access status: An open access version is available from UCL Discovery
DOI: 10.1142/s0129183126500397
Publisher version: https://doi.org/10.1142/s0129183126500397
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Compressible flows, nonequilibrium effects, central-moment-based discrete Boltzmann method
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Mechanical Engineering
URI: https://discovery.ucl.ac.uk/id/eprint/10216682
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