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Radiative transfer for variable three-dimensional atmospheres
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DOI：10.1016/j.jcp.2022.111864.png)
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摘要
En 中文
To study the temperature in a gas subjected to electromagnetic radiations, one may use the Radiative Transfer equations coupled with the Navier-Stokes equations. The problem has 7 dimensions; however with minimal simplifications it is equivalent to a small number of integro-differential equations in 3 dimensions. We present the method and a numerical implementation using an H-matrix compression scheme. The result is very fast: 240K physical points, all directions of radiation and 683 frequencies require less than 35 minutes on an Apple M1 Laptop. The method is capable of handling variable absorption and scattering functions of spatial positions and frequencies. The implementation is done using htool,1 a matrix compression library interfaced with the PDE solver freefem++. Applications to the temperature in the French Chamonix valley are presented at different hours of the day with and without snow or cloud and with a variable absorption coefficient taken from the Gemini measurements. The software is precise enough to assert temperature differences due to increased absorption in the vibrational frequency subrange of greenhouse gases.(c) 2022 Elsevier Inc. All rights reserved.
Keyword:
radiative transfer
Climatology
Integral equation
Navier-Stokes equation
H-matrix
Finite element methods
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IF:
3.8
论文数:
1.6W
被引数:
7.4W
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A sparse matrix arithmetic based on H-matrices.: Part I :: Introduction to H-matrices.png)
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3D radiation transport benchmark problems and results for simple geometries with void region具有空隙区域的简单几何形状的3D辐射传输基准问题和结果
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