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Radiative transfer in the atmosphere-ocean system: the finite-element method

机译:大气-海洋系统中的辐射传递:有限元法

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The finite-element method has been applied to solving the radiative-transfer equation in a layered medium with a change in the refractive index, such as the atmosphere-ocean system. The physical processes that are included in the algorithm are multiple scattering, bottom-boundary bidirectional reflectivity, and refraction and reflection at the interface between the media with different refractive properties. The incident radiation is a parallel flux on the top boundary that is characteristic of illumination of the atmosphere by the San in the UV, visible, and near-IR regions of the electromagnetic spectrum. The necessary changes, compared with the case of a uniformly refracting layered medium, are described. An energy-conservation test has been performed on the model. The algorithm has also been validated through comparison with an equivalent backward Monte Carlo code and with data taken from the literature, and optimal agreement was shown. The results show that the model allows energy conservation independently of the adopted phase function, the number of grid points, and the relative refractive index. The radiative-transfer model can be applied to any other layered system with a change in the refractive index. The FORTRAN code for this algorithm is documented and is available for applications.
机译:有限元方法已经应用于求解折射率变化的层状介质(例如大气-海洋系统)中的辐射传递方程。该算法中包括的物理过程是多重散射,底部边界双向反射率以及具有不同折射特性的介质之间的界面处的折射和反射。入射辐射是在顶部边界上的平行通量,它是San在电磁光谱的UV,可见光和近IR区域中照亮大气的特征。与均匀折射的层状介质相比,描述了必要的变化。对模型进行了节能测试。该算法还通过与等效的反向蒙特卡洛代码和来自文献的数据进行比较进行了验证,并显示了最佳一致性。结果表明,该模型可以实现节能,而与采用的相位函数,网格点数和相对折射率无关。可以将辐射传递模型应用于折射率发生变化的任何其他分层系统。该算法的FORTRAN代码已记录在案,可用于应用程序。

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