Variational Iteration Method for Infrared Radiative Transfer in a Scattering Medium
Variational Iteration Method for Infrared Radiative Transfer in a Scattering Medium
复制标题
散射介质中红外辐射传输的变分迭代法
DOI：
10.1175/jas-d-16-0172.1
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发表时间：
2017
影响因子：
3.1
通讯作者：
JIANGNAN LI
中科院分区：
文献类型：
--
作者：
FENG ZHANG;YI-NING SHI;JIANGNAN LI
本文提出了一种用变分迭代法（Vim）求解散射介质中红外辐射传输问题的新方案。该方案允许将零阶解确定为吸收近似，并将散射效应包括在一阶迭代中。在Vim中分别计算向上和向下的强度，这简化了计算过程。通过将Vim应用于两个单层散射介质和考虑气体透射的全辐射算法，发现Vim通常比离散坐标法（DOM）更精确，特别是对于卷层云。在计算上，Vim在两个流的情况下比DOM稍快，但在四个流的情况下快两倍多。鉴于其较高的整体精度和计算效率，Vim非常适合解决气候模式中的红外辐射传输。
AbstractA new scheme is proposed for using the variational iteration method (VIM) to solve the problem of infrared radiative transfer in a scattering medium. This scheme allows the zeroth-order solution to be identified as the absorption approximation and the scattering effect is included in the first-order iteration. The upward and downward intensities are calculated separately in VIM, which simplifies the calculation process. By applying VIM to two single-layer scattering media and a full radiation algorithm with gaseous transmission, it is found that VIM is generally more accurate than the discrete-ordinates method (DOM), especially for cirrostratus. Computationally, VIM is slightly faster than DOM in the two-stream case but more than twice as fast in the four-stream case. In view of its high overall accuracy and computational efficiency, VIM is well suited to solving infrared radiative transfer in climate models.