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  • Letter
  • Open Access
  • Access by Xinjiang University

Realizable entropic lattice Boltzmann method for high-Péclet scalar transport

Jingsen Feng

Yang Liu

Xu Chu*

  • *Contact author: x.chu@exeter.ac.uk
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Phys. Rev. E 114, L013301 – Published 16 July, 2026

DOI: https://doi.org/10.1103/5nx7-bykh

Abstract

We present a realizable entropic lattice Boltzmann method (RELBM) for scalar transport at high Péclet (Pe) number. The method combines an ADE-tailored entropic relaxation with a nonorthogonality correction to ghost-mode damping and a strictly conservative population-space realizability limiter activated only when required to enforce positivity. Comprehensive benchmarks including deformational mixing, Graetz transport, and Taylor dispersion up to Pe=2×105, demonstrating suppression of spurious oscillations and quantitative agreement with theory. Furthermore, pore-scale simulations in a homogeneous geometry up to Pe=104 resolve scalar-dissipation dynamics consistent with intermediate lamellar and late-time Fickian scalings. These results establish the method's robustness and physical fidelity for multiscale advection-diffusion dynamics across diverse systems.

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Phys. Rev. E 114, L013301– Published 16 July, 2026
  • Received 13 January 2026
  • Accepted 22 June 2026
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