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Discrete Boltzmann modeling of Rayleigh-Taylor instability in two-component compressible flows

Lin, C; Xu, A; Zhang, G; Luo, KH; Li, Y; (2017) Discrete Boltzmann modeling of Rayleigh-Taylor instability in two-component compressible flows. Physical Review E , 96 (5) , Article 053305. 10.1103/PhysRevE.96.053305. Green open access

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Abstract

A discrete Boltzmann model (DBM) is proposed to probe the Rayleigh-Taylor instability (RTI) in two-component compressible flows. Each species has a flexible specific-heat ratio and is described by one discrete Boltzmann equation (DBE). Independent discrete velocities are adopted for the two DBEs. The collision and force terms in the DBE account for the molecular collision and external force, respectively. Two types of force terms are exploited. In addition to recovering the modified Navier-Stokes equations in the hydrodynamic limit, the DBM has the capability of capturing detailed nonequilibrium effects. Furthermore, we use the DBM to investigate the dynamic process of the RTI. The invariants of tensors for nonequilibrium effects are presented and studied. For low Reynolds numbers, both global nonequilibrium manifestations and the growth rate of the entropy of mixing show three stages (i.e., the reducing, increasing, and then decreasing trends) in the evolution of the RTI. On the other hand, the early reducing tendency is suppressed and even eliminated for high Reynolds numbers. Relevant physical mechanisms are analyzed and discussed.

Type: Article
Title: Discrete Boltzmann modeling of Rayleigh-Taylor instability in two-component compressible flows
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevE.96.053305
Publisher version: https://doi.org/10.1103/PhysRevE.96.053305
Language: English
Additional information: This is the published version of record. For information on re-use, please refer to the publisher’s terms and conditions.
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Mechanical Engineering
URI: https://discovery.ucl.ac.uk/id/eprint/10039924
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