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.