Large Eddy Simulation-Based Lattice Boltzmann Method with Different Collision Models

  • Mohamed HamdiEmail author
  • Souheil Elalimi
  • Sassi Ben Nasrallah
Part of the Green Energy and Technology book series (GREEN)


It is of interest to discuss the analogies between ELB and LBM with turbulence models. This paper addresses the issue of incorporation of the subgrid turbulence model in the lattice Boltzmann equation (LBE). A lattice Boltzmann solver is implemented using various techniques, and the performance will be discussed. The numerical validity of the codes is tested against known fluid flow solutions, and a visual representation of the fluid flow is created. The simulations include lattice Boltzmann method with subgrid model and single-relaxation-time (SRT), multiple-relaxation-time (MRT), and entropic collision models (ELBM). We explore the behavior and accuracy of the proposed models on lid-driven square cavity at Reynolds number up to 10.000. Our results clearly show that the LES-MRT model remains the most effective in terms of accuracy and stability. Also our results highlight the subgrid features of the ELBE.


LBE SRT MRT ELB Subgrid Accuracy Stability 


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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Mohamed Hamdi
    • 1
    Email author
  • Souheil Elalimi
    • 2
  • Sassi Ben Nasrallah
    • 2
  1. 1.Laboratory of Wind Power Control and Waste Energy Recovery, Research and Technology Center of EnergyBorj-Cedria, BP95 Hammam-LifTunisia
  2. 2.Energy and Thermal Systems Laboratory, National Engineering School of MonastirMonastirTunisia

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