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Lattice Boltzmann kinetic modeling and simulation of thermal liquid-vapor system

2014/03/15 by Yanbiao Gan, Aiguo Xu, Gan, Yanbiao +9
Engineering · #Aerosol Filtration and Electrostatic Precipitation #FOS: Physical sciences #Fluid Dynamics and Turbulent Flows #Lattice Boltzmann Simulation Studies #Soft Condensed Matter (cond-mat.soft)

paper · pdf · doi:10.48550/arxiv.1403.3746

openalex publication_date 2014/03/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a highly efficient lattice Boltzmann (LB) kinetic model for thermal liquid-vapor system. Three key components are as beow: (i) a discrete velocity model by Kataoka et al. [Phys. Rev. E 69, 035701(R)(2004)]; (ii) a forcing term Ii aiming to describe the interfacial stress and recover the van der Waals equation of state by Gonnella et al. [Phys. Rev. E 76, 036703 (2007)]; and (iii) a Windowed Fast Fourier Transform (WFFT) scheme and its inverse by our group [Phys. Rev. E 84, 046715 (2011)] for solving the spatial derivatives, together with a second-order Runge-Kutta (RK) finite difference scheme for solving the temporal derivative in the LB equation. The model is verified and validated by well-known benchmark tests. The results recovered from the present model are well consistent with previous ones[Phys. Rev. E 84, 046715 (2011)] or theoretical analysis. The usage of less discrete velocities, high-order RK algorithm and WFFT scheme with 16th-order in precision makes the model more efficient by about 10 times and more accurate than the original one.

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