论文标题
在半空间中的三维辐射方程的分析离散列表
Analytical discrete ordinates for the three-dimensional radiative radiative equation in the half space
论文作者
论文摘要
在一维运输理论中，已知分析离散求和率（ADO）的方法是解决辐射传输方程的简洁而快速的数值方案。但是，将ADO扩展到三个维度已局限于各向同性散射的情况。在本文中，我们将ADO扩展到具有各向异性散射的三维辐射转运方程的情况下。通过旋转的参考帧技术使此扩展成为可能。在半空间中具有恒定吸收和散射系数的辐射转运方程在三个维度上求解。此外，我们表明，即使在半空间中的分析解决方案也可以通过使用旋转的参考帧扩展奇异函数方法来获得。
In one-dimensional transport theory, the method of analytical discrete ordinates (ADO) is known to be a concise and fast numerical scheme to solve the radiative transport equation. However, the extension of ADO to three dimensions has been restricted to the case of isotropic scattering. In this paper, we extend ADO to the case of the three-dimensional radiative transport equation with anisotropic scattering. This extension is made possible by the technique of rotated reference frames. The radiative transport equation with constant absorption and scattering coefficients in the half space is solved by the extended ADO in three dimensions. Moreover, we show that even an analytical solution in the half space is obtained by extending the singular eigenfunction approach with rotated reference frames.
