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

Author

Listed:
  • 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;
    Center for Applied Physics and Technology and MOE Key Center for High Energy Density Physics Simulations, College of Engineering, Peking University, Beijing 100871, 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)

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.

Suggested Citation

  • Yanbiao Gan & Aiguo Xu & Guangcai Zhang & Junqi Wang & Xijun Yu & Yang Yang, 2014. "Lattice Boltzmann kinetic modeling and simulation of thermal liquid–vapor system," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 25(12), pages 1-10.
    • Handle: RePEc:wsi:ijmpcx:v:25:y:2014:i:12:n:s0129183114410022
    DOI: 10.1142/S0129183114410022
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