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An implicit-explicit finite-difference lattice Boltzmann subgrid method on nonuniform meshes

Author

Listed:
  • Ruofan Qiu

    (School of Aerospace Engineering, Xiamen University, Xiamen 361005, P. R. China)

  • Rongqian Chen

    (School of Aerospace Engineering, Xiamen University, Xiamen 361005, P. R. China)

  • Yancheng You

    (School of Aerospace Engineering, Xiamen University, Xiamen 361005, P. R. China)

Abstract

In this paper, an implicit-explicit finite-difference lattice Boltzmann method with subgrid model on nonuniform meshes is proposed. The implicit-explicit Runge–Kutta scheme, which has good convergence rate, is used for the time discretization and a mixed difference scheme, which combines the upwind scheme with the central scheme, is adopted for the space discretization. Meanwhile, the standard Smagorinsky subgrid model is incorporated into the finite-difference lattice Boltzmann scheme. The effects of implicit-explicit Runge–Kutta scheme and nonuniform meshes of present lattice Boltzmann method are discussed through simulations of a two-dimensional lid-driven cavity flow on nonuniform meshes. Moreover, the comparison simulations of the present method and multiple relaxation time lattice Boltzmann subgrid method are conducted qualitatively and quantitatively.

Suggested Citation

  • Ruofan Qiu & Rongqian Chen & Yancheng You, 2017. "An implicit-explicit finite-difference lattice Boltzmann subgrid method on nonuniform meshes," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 28(04), pages 1-18, April.
  • Handle: RePEc:wsi:ijmpcx:v:28:y:2017:i:04:n:s0129183117500450
    DOI: 10.1142/S0129183117500450
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