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A lattice Boltzmann model for the generalized Boussinesq equation

Author

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  • Liu, Fang
  • Shi, Weiping
  • Wu, Fangfang

Abstract

A lattice Boltzmann model is developed for the simulation of the generalized nonlinear Boussinesq equation. Through adding a differential operator of the diffusion term as a source term to the evolution equation the macroscopic equation is recovered with higher-order truncation error. Detailed numerical simulations for the motion of the soliton solutions of the Boussinesq equation are performed and the numerical results agree well with the exact solutions. The results show that the lattice Boltzmann method is an efficient algorithm with excellent long-time numerical behaviors for the motion of the soliton solutions.

Suggested Citation

  • Liu, Fang & Shi, Weiping & Wu, Fangfang, 2016. "A lattice Boltzmann model for the generalized Boussinesq equation," Applied Mathematics and Computation, Elsevier, vol. 274(C), pages 331-342.
    • Handle: RePEc:eee:apmaco:v:274:y:2016:i:c:p:331-342
    DOI: 10.1016/j.amc.2015.11.025
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    References listed on IDEAS

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    1. Zhang, Jianying & Yan, Guangwu, 2008. "Lattice Boltzmann method for one and two-dimensional Burgers equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(19), pages 4771-4786.
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    Cited by:

    1. Karimipour, Arash & D’Orazio, Annunziata & Goodarzi, Marjan, 2018. "Develop the lattice Boltzmann method to simulate the slip velocity and temperature domain of buoyancy forces of FMWCNT nanoparticles in water through a micro flow imposed to the specified heat flux," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 729-745.

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