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Realizable entropic lattice Boltzmann method for high-Péclet scalar transport
Jingsen Feng1, Yang Liu2, Xu Chu1
1University of Exeter, Department of Engineering, Exeter EX4 4QF, United Kingdom.
None:
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=2×10^{5}, demonstrating suppression of spurious oscillations and quantitative agreement with theory. Furthermore, pore-scale simulations in a homogeneous geometry up to Pe=10^{4} 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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