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Implementation Of Finite-Difference Lattice Boltzmann Method On General Body-Fitted Curvilinear Coordinates

Author

Listed:
  • Q. LI

    (School of Energy and Power Engineering, State Key Laboratory of Multiphase Flow in Power Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, China)

  • Y. L. HE

    (School of Energy and Power Engineering, State Key Laboratory of Multiphase Flow in Power Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, China)

  • Y. J. GAO

    (School of Energy and Power Engineering, State Key Laboratory of Multiphase Flow in Power Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, China)

Abstract

A finite-difference lattice Boltzmann (LB) algorithm is described on general body-fitted coordinate systems. An alternative treatment for the implicit collision term of the Boltzmann–Bhatnagar–Gross–Krook equation is used, which completely removes the implicitness of the numerical scheme through using the characteristic of collision invariants. LB simulations are carried out for a two-dimensional supersonic viscous flow past a circular cylinder and the natural convection heat transfer in a circular enclosure with an inner hexagonal cylinder for the first time. The pressure coefficient distribution along the surface of the circular cylinder and the Nusselt number in the natural convection obtained from the simulations agree well with previous experimental measurements and/or classical computational fluid dynamics simulations. Comparisons of detailed flow patterns with other studies are also satisfactory.

Suggested Citation

  • Q. Li & Y. L. He & Y. J. Gao, 2008. "Implementation Of Finite-Difference Lattice Boltzmann Method On General Body-Fitted Curvilinear Coordinates," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 19(10), pages 1581-1595.
    • Handle: RePEc:wsi:ijmpcx:v:19:y:2008:i:10:n:s0129183108013126
    DOI: 10.1142/S0129183108013126
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