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A Novel Scheme For Force Term In The Lattice Bgk Model

Author

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  • RUI DU

    (State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan, 430074, China)

  • BAOCHANG SHI

    (Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, China)

Abstract

In this paper a novel scheme of the lattice BGK (LBGK) model with a force term has been proposed. Unlike the existing models, an appropriate term was added in the evolutionary equation. Through the Chapman–Enskog (C–E) procedure the Navier–Stokes (N–S) equations with a force term can be recovered with the kinetic viscosity. Three discrete methods of the added term have been discussed in detail. It can be proved that some existing models are the special cases of the model in this paper. We have taken the numerical simulation of the generalized Poiseuille flow driven by a constant force in a channel filled with a porous medium of porosity flow in 2D with different values of the parameters and compared the three models of different discrete schemes in the aspect of the numerical accuracy and stability.

Suggested Citation

  • Rui Du & Baochang Shi, 2006. "A Novel Scheme For Force Term In The Lattice Bgk Model," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 17(07), pages 945-958.
    • Handle: RePEc:wsi:ijmpcx:v:17:y:2006:i:07:n:s0129183106009461
    DOI: 10.1142/S0129183106009461
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    Cited by:

    1. Farnoush, Somayeh & Manzari, Mehrdad T., 2014. "An investigation on the body force modeling in a lattice Boltzmann BGK simulation of generalized Newtonian fluids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 415(C), pages 315-332.

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