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A multiscale algorithm for radiative heat transfer equation with rapidly oscillating coefficients

Author

Listed:
  • Huang, Jizu
  • Cao, Liqun
  • Yang, Chao

Abstract

This paper, as a continued work of Huang and Cao (2014), discusses the multiscale computation of the radiative heat transfer in composite materials or porous media. A novel multiscale asymptotic expansion is presented, and an explicit rate of convergence is derived. We develop a multiscale algorithm for solving this kind of problem. A fully implicit scheme is carefully studied and an iterative algorithm is given. The convergence of the iterative algorithm is proved by the fixed point method. Numerical results confirm the efficiency and accuracy of this approach and show that the novel multiscale asymptotic expansion is essential for the radiative-dominated cases.

Suggested Citation

  • Huang, Jizu & Cao, Liqun & Yang, Chao, 2015. "A multiscale algorithm for radiative heat transfer equation with rapidly oscillating coefficients," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 149-168.
    • Handle: RePEc:eee:apmaco:v:266:y:2015:i:c:p:149-168
    DOI: 10.1016/j.amc.2015.05.048
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    Cited by:

    1. Yang, Zhiqiang & Wang, Ziqiang & Yang, Zihao & Sun, Yi, 2018. "Multiscale analysis and computation for coupled conduction, convection and radiation heat transfer problem in porous materials," Applied Mathematics and Computation, Elsevier, vol. 326(C), pages 56-74.
    2. Dong, Hao & Nie, Yufeng & Cui, Junzhi & Wu, Yatao & Yang, Zihao, 2017. "Second-order two-scale analysis and numerical algorithm for the damped wave equations of composite materials with quasi-periodic structures," Applied Mathematics and Computation, Elsevier, vol. 298(C), pages 201-220.

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