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Simulations of the rectangular wave-guide pattern in the complex Maxwell vorticity equations by lattice Boltzmann method

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  • Liu, Yanhong
  • Wang, Huimin

Abstract

In this paper, a lattice Boltzmann model for solving three-dimensional complex Maxwell vorticity equations is presented. Different from the classic lattice Boltzmann models, this lattice Boltzmann model is based on uniformly distributed lattice points in a three-dimensional spatiotemporal space, and we have also given the stability conditions of this complex model and the expression of the equilibrium distribution function. Numerical results reproduce the phenomena of the rectangular wave-guide pattern in complex Maxwell equations, and these numerical results do accord with classical ones.

Suggested Citation

  • Liu, Yanhong & Wang, Huimin, 2020. "Simulations of the rectangular wave-guide pattern in the complex Maxwell vorticity equations by lattice Boltzmann method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 173(C), pages 1-15.
    • Handle: RePEc:eee:matcom:v:173:y:2020:i:c:p:1-15
    DOI: 10.1016/j.matcom.2020.01.016
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    References listed on IDEAS

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    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. Baboolal, S. & Bharuthram, R., 2007. "Two-scale numerical solution of the electromagnetic two-fluid plasma-Maxwell equations: Shock and soliton simulation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 76(1), pages 3-7.
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