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Incorporating Turbulence Models into the Lattice-Boltzmann Method

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  • Christopher M. Teixeira

    (Exa Corporation, 450 Bedford Street Lexington, Massachusetts 02420, USA)

Abstract

The Lattice-Boltzmann method (LBM) is extended to allow incorporation of traditional turbulence models. Implementation of a two-layer mixing-length algebraic model and two versions of thek-εtwo-equation model, Standard and RNG, in conjunction with a wall model, are presented. Validation studies are done for turbulent flows in a straight pipe at three Re numbers and over a backwards facing step of expansion ratio 1.5 andReH=44 000. All models produce good agreement with experiment for the straight pipes but the RNGk-εmodel is best able to capture both the recirculation length, within 2% of experiment, and the detailed structure of the mean fluid flow for the backwards facing step.

Suggested Citation

  • Christopher M. Teixeira, 1998. "Incorporating Turbulence Models into the Lattice-Boltzmann Method," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 9(08), pages 1159-1175.
    • Handle: RePEc:wsi:ijmpcx:v:09:y:1998:i:08:n:s0129183198001060
    DOI: 10.1142/S0129183198001060
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    Cited by:

    1. Sciacca, Michele & Jou, David & Mongiovì, Maria Stella, 2020. "K-ϵ-L model in turbulent superfluid helium," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 548(C).
    2. Lätt, Jonas & Chopard, Bastien & Succi, Sauro & Toschi, Federico, 2006. "Numerical analysis of the averaged flow field in a turbulent lattice Boltzmann simulation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 362(1), pages 6-10.
    3. Avallone, Francesco & Ragni, Daniele & Casalino, Damiano, 2020. "On the effect of the tip-clearance ratio on the aeroacoustics of a diffuser-augmented wind turbine," Renewable Energy, Elsevier, vol. 152(C), pages 1317-1327.

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