论文标题
用于频率依赖性辐射转移方程的完全渐近保存分解的多组方法
A fully asymptotic preserving decomposed multi-group method for the frequency-dependent radiative transfer equations
论文作者
论文摘要
FRTE的不透明度不仅取决于材料温度，还取决于频率的频率，其值可能会在不同的频率上改变几个数量级。灰色辐射扩散和频率依赖性扩散方程是两个简化的模型，可以在厚的不透明度状态下近似FRTE的解决方案。两个极限模型的频率离散化高度影响数值准确性。但是，FRTE的经典频率离散化仅考虑吸收系数。在本文中，我们提出了一种用于频率离散化的新分解的多组方法，它不仅在灰色辐射扩散和频率依赖性扩散限制中都是AP，而且还可以调整限制模型的频率离散化。根据分解的多组方法，提出了频率，时间和空间的完整AP方案。几个数值示例用于验证提出的方案的性能。
The opacity of FRTE depends on not only the material temperature but also the frequency, whose values may vary several orders of magnitude for different frequencies. The gray radiation diffusion and frequency-dependent diffusion equations are two simplified models that can approximate the solution to FRTE in the thick opacity regime. The frequency discretization for the two limit models highly affects the numerical accuracy. However, classical frequency discretization for FRTE considers only the absorbing coefficient. In this paper, we propose a new decomposed multi-group method for frequency discretization that is not only AP in both gray radiation diffusion and frequency-dependent diffusion limits, but also the frequency discretization of the limiting models can be tuned. Based on the decomposed multi-group method, a full AP scheme in frequency, time, and space is proposed. Several numerical examples are used to verify the performance of the proposed scheme.
