Adding method of delta-four-stream spherical harmonic expansion approximation for infrared radiative transfer parameterization
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The adding method for 126d5e826fd81c17a4f26" title="Click to view the MathML source">δ-four-stream spherical harmonic expansion approximation (126d5e826fd81c17a4f26" title="Click to view the MathML source">δ-4SDA) is obtained.

The accuracy of 126d5e826fd81c17a4f26" title="Click to view the MathML source">δ-4SDA is superior than that of 126d5e826fd81c17a4f26" title="Click to view the MathML source">δ-two-stream discrete-ordinates method (126d5e826fd81c17a4f26" title="Click to view the MathML source">δ-2DDA), especially for the cloudy sky.

126d5e826fd81c17a4f26" title="Click to view the MathML source">δ-4SDA is more accurate than 126d5e826fd81c17a4f26" title="Click to view the MathML source">δ-four-stream discrete-ordinates method (126d5e826fd81c17a4f26" title="Click to view the MathML source">δ-4DDA) in ice cloud cases.

126d5e826fd81c17a4f26" title="Click to view the MathML source">δ-4SDA is slightly less accurate than 126d5e826fd81c17a4f26" title="Click to view the MathML source">δ-4DDA under water cloud conditions.

The computational efficiency of 126d5e826fd81c17a4f26" title="Click to view the MathML source">δ-4SDA is higher than that of 126d5e826fd81c17a4f26" title="Click to view the MathML source">δ-4DDA.

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