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Lattice Boltzmann simulation of natural convection in porous media

Author

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  • Seta, Takeshi
  • Takegoshi, Eishun
  • Okui, Kenichi

Abstract

This paper confirms the reliability and the computational efficiency of the lattice Boltzmann method in simulating natural convection in porous media at the representative elementary volume scale. The influence of porous media is considered by introducing the porosity to the equilibrium distribution function and by adding a force term to the evolution equation. The temperature field is simulated by a simplified thermal energy distribution function which neglects the compression work done by the pressure and the viscous heat dissipation. A comprehensive parametric study of natural convective flows is carried out for various values of Rayleigh number, of Darcy number, and of porosity. The comparison of solutions between the present model and earlier studies shows good quantitative agreement for the whole range of Darcy and Rayleigh numbers.

Suggested Citation

  • Seta, Takeshi & Takegoshi, Eishun & Okui, Kenichi, 2006. "Lattice Boltzmann simulation of natural convection in porous media," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 72(2), pages 195-200.
    • Handle: RePEc:eee:matcom:v:72:y:2006:i:2:p:195-200
    DOI: 10.1016/j.matcom.2006.05.013
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    Cited by:

    1. Javadzadegan, Ashkan & Joshaghani, Mohammad & Moshfegh, Abouzar & Akbari, Omid Ali & Afrouzi, Hamid Hassanzadeh & Toghraie, Davood, 2020. "Accurate meso-scale simulation of mixed convective heat transfer in a porous media for a vented square with hot elliptic obstacle: An LBM approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).
    2. Mahmoudi, Ahmed, 2019. "A scale analysis to study melting process driven by natural convection," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 524(C), pages 430-447.
    3. Liu, Qing & He, Ya-Ling, 2017. "Lattice Boltzmann simulations of convection heat transfer in porous media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 742-753.

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