A novel two-dimensional coupled lattice Boltzmann model for thermal incompressible flows

Yikun Wei, Hui Yang, Hua-Shu Dou, Zhe Lin, Zhengdao Wang and Yuehong Qian

Applied Mathematics and Computation, 2018, vol. 339, issue C, 556-567

Abstract: A novel two-dimensional coupled lattice Boltzmann model is developed for thermal incompressible fluid flows. A modified equilibrium distribution function is proposed in the present model. A mesoscopic discrete force is coupled into the modified equilibrium distribution function based on the Boussinesq approximation. The outstanding advantages of the standard lattice Boltzmann method are retained in present model besides better numerical stability. The present model is validated by the numerical simulation of the natural and Rayleigh–Benard convection at a wide range of Rayleigh numbers. Excellent agreement between the present results and previous lattice Boltzmann method or theoretical prediction demonstrates that present model is an efficient numerical method for natural and Rayleigh–Bénard convection. Further, present model is also successfully assessed considering Rayleigh–Taylor instability. It is also easier and convenient to be implemented as compared with the previous thermal models.

Keywords: Lattice Boltzmann method; Convection; Incompressible flows; Numerical simulation (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:339:y:2018:i:c:p:556-567

DOI: 10.1016/j.amc.2018.07.047

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