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Numerical analysis of the averaged flow field in a turbulent lattice Boltzmann simulation

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  • Lätt, Jonas
  • Chopard, Bastien
  • Succi, Sauro
  • Toschi, Federico

Abstract

A direct numerical simulation of a turbulent flow field with a lattice BGK method is presented. A spatial coarse graining of the numerical results is compared with the expected LBGK dynamics for a flow field on a reduced lattice size. This comparison permits to exhibit subgrid properties of the fluid which are not resolved on the coarse lattice. As expected from existing subgrid models, an effective viscosity can be measured that increases when the lattice is coarse grained. Turbulence models based on an effective viscosity are particularly interesting in a lattice Boltzmann simulation, due to the linearity of the propagation operator.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:362:y:2006:i:1:p:6-10
    DOI: 10.1016/j.physa.2005.09.016
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    References listed on IDEAS

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    1. Bastien Chopard & Alexandre Dupuis & Alexandre Masselot & Pascal Luthi, 2002. "Cellular Automata And Lattice Boltzmann Techniques: An Approach To Model And Simulate Complex Systems," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 5(02n03), pages 103-246.
    2. 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.
    3. Ansumali, Santosh & Karlin, Iliya V. & Succi, Sauro, 2004. "Kinetic theory of turbulence modeling: smallness parameter, scaling and microscopic derivation of Smagorinsky model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 338(3), pages 379-394.
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    Cited by:

    1. Gorban, A.N. & Packwood, D.J., 2014. "Enhancement of the stability of lattice Boltzmann methods by dissipation control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 414(C), pages 285-299.

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