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Discrete unified gas kinetic scheme simulation of conjugate heat transfer problems in complex geometries by a ghost-cell interface method

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  • Tao, Shi
  • He, Qing
  • Wang, Liang
  • Chen, Baiman
  • Chen, Jiechao
  • Lin, Yousheng

Abstract

In this paper, we extend the discrete unified gas kinetic scheme (DUGKS) to simulate conjugate heat transfer flows. The conjugate interface that separates two media with different thermophysical properties is handled by a ghost-cell (GC) immersed boundary method. Specifically, fictitious cells are set in both domains to implement the continuity conditions of both temperature and heat flux at the conjugate interface. Information at the ghost cells is unavailable and should be reconstructed from the interface and neighboring field. With interface constraints involved in the reconstruction, the conjugate condition can be incorporated smoothly into the process of solving the full flow field. Those features make the present GC-DUGKS capture the conjugate interface, without introducing an additional term or modifying the equilibrium distribution function as in previous studies. Furthermore, the Strang-splitting scheme is applied for convenient handling of the thermal force term in the governing equation. Simulations of several well-established natural convection flows containing complex conjugate interfaces are performed to validate the GC-DUGKS. The results demonstrate the accuracy and feasibility of the present method for conjugate heat transfer problems.

Suggested Citation

  • Tao, Shi & He, Qing & Wang, Liang & Chen, Baiman & Chen, Jiechao & Lin, Yousheng, 2021. "Discrete unified gas kinetic scheme simulation of conjugate heat transfer problems in complex geometries by a ghost-cell interface method," Applied Mathematics and Computation, Elsevier, vol. 404(C).
    • Handle: RePEc:eee:apmaco:v:404:y:2021:i:c:s0096300321003180
    DOI: 10.1016/j.amc.2021.126228
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    References listed on IDEAS

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    1. Boraey, Mohammed A., 2019. "An Asymptotically Adaptive Successive Equilibrium Relaxation approach for the accelerated convergence of the Lattice Boltzmann Method," Applied Mathematics and Computation, Elsevier, vol. 353(C), pages 29-41.
    2. Li, Qiang & Zhang, Tong & Yuan, Jinyun, 2020. "Numerical simulation of polymer crystal growth under flow field using a coupled phase-field and lattice Boltzmann method," Applied Mathematics and Computation, Elsevier, vol. 387(C).
    3. Krivovichev, Gerasim V., 2019. "Stability analysis of body force action models used in the single-relaxation-time single-phase lattice Boltzmann method," Applied Mathematics and Computation, Elsevier, vol. 348(C), pages 25-41.
    4. Gros, E. & Anjos, G. & Thome, J., 2018. "Moving mesh method for direct numerical simulation of two-phase flow with phase change," Applied Mathematics and Computation, Elsevier, vol. 339(C), pages 636-650.
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