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

Yanbiao Gan, Aiguo Xu (), Guangcai Zhang, Junqi Wang, Xijun Yu and Yang Yang
Additional contact information
Yanbiao Gan: North China Institute of Aerospace Engineering, Langfang 065000, P. R. China
Aiguo Xu: Institute of Applied Physics and Computational Mathematics, P. O. Box 8009-26, Beijing 100088, P. R. China;
Guangcai Zhang: Institute of Applied Physics and Computational Mathematics, P. O. Box 8009-26, Beijing 100088, P. R. China
Junqi Wang: School of Renewable Resources, North China Electric Power University, Beijing 102206, P. R. China
Xijun Yu: Institute of Applied Physics and Computational Mathematics, P. O. Box 8009-26, Beijing 100088, P. R. China
Yang Yang: China Petroleum Pipeline Material and Equipment Co., Ltd, Langfang 065000, P. R. China

International Journal of Modern Physics C (IJMPC), 2014, vol. 25, issue 12, 1-10

Abstract: We present a highly efficient lattice Boltzmann (LB) kinetic model for thermal liquid–vapor system. Three key components are as below: (i) a discrete velocity model (DVM) by Kataokaet al.[Phys. Rev. E69, 035701(R) (2004)]; (ii) a forcing termIiaiming to describe the interfacial stress and recover the van der Waals (VDW) equation of state (EOS) by Gonnellaet al.[Phys. Rev. E76, 036703 (2007)] and (iii) a Windowed Fast Fourier Transform (WFFT) scheme and its inverse by our group [Phys. Rev. E84, 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. E84, 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.

Keywords: Lattice Boltzmann; liquid–vapor system; computational efficiency; 47.11.-j; 47.20.Hw; 05.70.Ln (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (1)

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DOI: 10.1142/S0129183114410022

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