Geodesic
A new version of the discrete ordinate method for the calculation of the intrinsic radiation in horizontally homogeneous atmospheres
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 10, pp. 1741-1755 
N. I. Ignat'ev; I. V. Mingalev; A. V. Rodin; E. A. Fedotova. A new version of the discrete ordinate method for the calculation of the intrinsic radiation in horizontally homogeneous atmospheres. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 10, pp. 1741-1755. http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_10_a11/
@article{ZVMMF_2015_55_10_a11,
     author = {N. I. Ignat'ev and I. V. Mingalev and A. V. Rodin and E. A. Fedotova},
     title = {A new version of the discrete ordinate method for the calculation of the intrinsic radiation in horizontally homogeneous atmospheres},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1741--1755},
     year = {2015},
     volume = {55},
     number = {10},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_10_a11/}
}
TY  - JOUR
AU  - N. I. Ignat'ev
AU  - I. V. Mingalev
AU  - A. V. Rodin
AU  - E. A. Fedotova
TI  - A new version of the discrete ordinate method for the calculation of the intrinsic radiation in horizontally homogeneous atmospheres
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2015
SP  - 1741
EP  - 1755
VL  - 55
IS  - 10
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_10_a11/
LA  - ru
ID  - ZVMMF_2015_55_10_a11
ER  - 
%0 Journal Article
%A N. I. Ignat'ev
%A I. V. Mingalev
%A A. V. Rodin
%A E. A. Fedotova
%T A new version of the discrete ordinate method for the calculation of the intrinsic radiation in horizontally homogeneous atmospheres
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2015
%P 1741-1755
%V 55
%N 10
%U http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_10_a11/
%G ru
%F ZVMMF_2015_55_10_a11

Voir la notice de l'article provenant de la source Math-Net.Ru

A new version of the discrete ordinate method for the calculation of the transfer of monochromatic radiation in a scattering, absorbing, and emitting plane-parallel atmosphere of Earth and other planets is proposed. A feature of this version is that the system of linear equations obtained by the discrete ordinate method is solved using the block elimination method. This is an exact and computationally efficient method; moreover it is easy to implement. The computer program developed based on this method is about two times faster than the program used in the free DISORT package.

[1] Lenobl Zh., Perenos radiatsii v rasseivayuschikh i pogloschayuschikh atmosferakh, Gidrometeoizdat, Leningrad, 1990

[2] Timofeev Yu. M., Vasilev A. V., Teoreticheskie osnovy atmosfernoi optiki, Nauka, SPb., 2003

[3] Nagirner D. I., Lektsii po teorii perenosa izlucheniya, Ucheb. posobie, Izd-vo S.-Peterb. un-ta, SPb., 2001

[4] Marchuk G. I., i dr., Metod Monte-Karlo v atmosfernoi optike, Nauka, Novosibirsk, 1976

[5] Fomin V. A., “Effective interpolation technique for line-by-line calculations of radiation absorption in gases”, J. Quant. Spectrosc. Rad. Transfer, 53 (1995), 663–669 | DOI

[6] Fomin B. A., “Monte-Carlo algorithm for line-by-line calculations of thermal radiation in multiple scattering layered atmospheres”, J. Quant. Spectrosc. Radiat. Transfer, 98 (2006), 107–115 | DOI

[7] K. Franklin Evans, “The spherical harmonics discrete ordinate method for three-dimensional atmospheric radiative transfer”, J. Atmospheric Sci., 55 (1998), 429–446 | 2.0.CO;2 class='badge bg-secondary rounded-pill ref-badge extid-badge'>DOI

[8] Stamnes K., Tsay S.-C., Wiscombe W., Jayaweera K., “Numerically stable algorithm for discrete-ordinate-method radiative transfer in multiple scattering and emitting layered media”, Applied Optics, 27:12 (1988), 2502–2509 | DOI

[9] Samarskii A. A., Nikolaev E. S., Metody resheniya setochnykh uravnenii, Fizmatlit, M., 1978 | MR

[10] Zasova L. V., Moroz V. I., Linkin V. M. i dr., “Stroenie atmosfery Venery ot poverkhnosti do 100 km”, Kosmich. issled., 44:4 (2006), 381–400