辐射动力学理论是描述辐射传输是重要手段,基于此,本文建立了辐射能和辐射动量守恒方程,并基于Chapman-Enskog多尺度展开方法实现了从辐射传输Boltzmann方程到宏观方程的推导,进而建立了适于一维辐射传输的2分量格子Boltzmann模型。数值结果与精确解吻合较好,表明本文提出的LBM方法具有很好的准确性和稳定性,为LBM方法在辐射传热问题的应用奠定了理论基础。
Radiation hydrodynamics is an important mean describing radiative transfer, based on which, the macroscopic conservation equations of radiation energy and radiation momentum are derived. Based on the Chapman-Enskog method, the 2-bit lattice Boltzmann model for one dimension radiative transfer is proposed. The numerical simulation results agree well with exact solution, showing that the lattice Boltzmann method developed in this article has good accuracy and stability, and laying the foundation for using of LBM on radiation heat transfer.
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