NUMERICAL PASSAGE FROM RADIATIVE HEAT TRANSFER TO NONLINEAR DIFFUSION MODELS
NUMERICAL PASSAGE FROM RADIATIVE HEAT TRANSFER TO NONLINEAR DIFFUSION MODELS
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DOI：
10.1142/s0218202501001082
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发表时间：
2001-07
影响因子：
3.5
通讯作者：
A. Klar;C. Schmeiser
中科院分区：
文献类型：
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作者：
A. Klar;C. Schmeiser
在小平均自由程极限下考虑了包含热传导的辐射传热方程。严格的渐近程序导致的平衡扩散方程的温度的结果。此外，研究了描述边界层的非线性Milne问题，并证明了一个存在性结果。对具有扩散标度的辐射传输方程发展了一个渐近保持格式。该方案是基于渐近分析。它适用于所有范围内的平均自由程。不同的物理情况下的数值结果。
Radiative heat transfer equations including heat conduction are considered in the small mean free path limit. Rigorous results on the asymptotic procedure leading to the equilibrium diffusion equation for the temperature are given. Moreover, the nonlinear Milne problem describing the boundary layer is investigated and an existence result is proven. An asymptotic preserving scheme for the radiative transfer equations with the diffusion scaling is developed. The scheme is based on the asymptotic analysis. It works uniformly for all ranges of mean free paths. Numerical results for different physical situations are presented.