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

Ruofan Qiu (), Rongqian Chen and Yancheng You ()
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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

International Journal of Modern Physics C (IJMPC), 2017, vol. 28, issue 04, 1-18

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.

Keywords: Lattice Boltzmann method; finite-difference; subgrid model; nonuniform (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1142/S0129183117500450

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