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Solving steady and transient radiative transfer problems with strong inhomogeneity via a lattice Boltzmann method

机译：通过Lattice Boltzmann方法解决具有强不均匀性的稳态和瞬态辐射转移问题

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摘要

A complete lattice Boltzmann method (LBM) is developed to solve the steady and transient radiative transfer problems with strong inhomogeneity. The transient radiative transfer equation (RTE) is regarded as a hyperbolic conservation law equation and then solved by the LBM. A forward difference scheme is applied to the time derivative of the source term in the evolution equation, which makes the LBM accurate and stable for radiative transfer problems with strong inhomogeneity. The correctness and accuracy of the proposed LBM is verified first. Afterward, the LBM is applied to solve the one-dimensional radiative transfer problems involving strong inhomogeneous radiative intensity and discontinuous medium system, including a planar slab subjected to Gaussian-shaped source, an infinite slab with an inclusion layer, and a vacuum gapped medium system. The time-resolved radiation is presented and analyzed as well as the steady results. Finally, the present LBM is extended to multidimensional radiative transfer problems.
机译：开发了一种完整的格子Boltzmann方法（LBM）以解决强烈的不均匀性的稳定和瞬态辐射转移问题。瞬态辐射转移方程（RTE）被认为是双曲守恒法方程，然后由LBM解决。向前差方案应用于演化方程中源术语的时间衍生，这使得LBM精确且稳定，用于辐射转移问题具有强不均匀性。提出的LBM的正确性和准确性首先验证。之后，应用LBM以解决涉及强不均匀辐射强度和不连续介质系统的一维辐射转移问题，包括对高斯形源进行的平面板，具有包含层的无限平板，以及真空堵塞介质系统。提出和分析了时间分辨辐射以及恒定的结果。最后，本LBM扩展到多维辐射转移问题。

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  • 来源
    《International Journal of Heat and Mass Transfer》 |2020年第7期|119714.1-119714.13|共13页
  • 作者

    Xiaochuan Liu; Yong Huang; Cun-Hai Wang; Keyong Zhu;

  • 作者单位

    School of Aeronautic Science and Engineering Beihang University Beijing 100191 China;

    School of Aeronautic Science and Engineering Beihang University Beijing 100191 China;

    School of Energy and Environmental Engineering University of Science and Technology Beijing Beijing 100083 China;

    School of Aeronautic Science and Engineering Beihang University Beijing 100191 China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Radiative transfer; Inhomogeneous media; Lattice Boltzmann method;

    机译：辐射转移;不均匀的媒体;格子Boltzmann方法;

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