A fast and accurate synthetic iteration-based algorithm for numerical simulation of radiative transfer in a turbid medium

被引：6

作者：

Budak V.P. ^{[1
]}

Zheltov V.S. ^{[1
]}

Lubenchenko A.V. ^{[1
]}

Freidlin K.S. ^{[1
]}

Shagalov O.V. ^{[1
]}

机构：

[1] Moscow Power Engineering Institute, Moscow

来源：

Atmospheric and Oceanic Optics | 2017年 / 30卷 / 1期

关键词：

discrete radiative transfer equation; quasi-diffusion approximation; synthetic iterations;

D O I：

10.1134/S1024856017010031

中图分类号：

学科分类号：

摘要：

It has been shown that the regular part of the solution (RPS) which remains after separating the anisotropic part of the solution (APS) in the small-angle modification of the spherical harmonics method (SHM) is a smooth quasi-isotropic function with individual peaks in the angular distribution. The smooth part of the RPS without peaks can be determined in the two-streaming or diffuse approximation. The first iteration of the angular distribution of the radiance significantly refines the solution and allows one to restore the abovementioned angular peaks. The quasi-diffusion approximation—separation of the APS on the basis of the SHM, the determination of the RPS in the diffusion approximation, and the refinement of the solution on the basis of the first iteration—does not depend on the symmetry of the problem and, therefore, can be generalized to the case of an arbitrary geometry of the medium. © 2017, Pleiades Publishing, Ltd.

引用

页码：70 / 78

页数：8

共 20 条

[1] Yokota T., Oguma H., Morino I., Inoue G., A nadir looking SWIR FTS to monitor CO2 column density for Japanese GOSAT Project, Proc. XXIV Int. Sym. Space Technol. Sci. Miyazaki, Japan, May–June, (2004)
[2] Budak V.P., Klyuykov D.A., Korkin S.V., Convergence acceleration of radiative transfer equation solution at strongly anisotropic scattering, Light Scattering Reviews 5. Single Light Scattering and Radiative Transfer, Ed. by A. A.^Kokhanovsky, pp. 147-204, (2010)
[3] Budak V.P., Shagalov O.V., Zheltov V.S., Numerical radiative transfer modeling in turbid medium slab, Proc. SPIE, (2014)
[4] Krylov V.I., Approximate Integration, (1967)
[5] Apresyan L.A., Kravtsov Y.A., The Radiation Transfer Theory: Statistical and Wave Aspects, (1983)
[6] Budak V.P., Veklenko B.A., Boson peak, flickering noise, backscattering processes and radiative transfer in random media, J. Quant. Spectrosc. Radiat. Transfer, 112, 5, pp. 864-875, (2011)
[7] Budak V.P., Kozelsky A.V., Savitsky E.N., Improvement of the spherical harmonics method convergence at strongly anisotropic scattering, Atmos. Ocean. Opt, 17, 1, pp. 28-33, (2004)
[8] Budak V.P., Korkin S.V., On the solution of a vectorial radiative transfer equation in an arbitrary three-dimensional turbid medium with anisotropic scattering, J. Quant. Spectrosc. Radiat. Transfer, 109, 2, pp. 220-234, (2008)
[9] Budak V.P., Klyuykov D.A., Korkin S.V., Complete matrix solution of radiative transfer equation for pile of horizontally homogeneous slabs, J. Quant. Spectrosc. Radiat. Transfer, 112, 7, pp. 1141-1148, (2011)
[10] Kokhanovsky A.A., Budak V.P., Cornet C., Duan M., Emde C., Katsev I.L., Klyukov D.A., Korkin S.V., Mayer L.-L.B., Min Q., Nakajima T., Ota Y., Prikhach A.S., Rozanov V.V., Yokota T., Zege E.P., Benchmark results in vector atmospheric radiative transfer, J. Quant. Spectrosc. Radiat. Transfer, 111, 12-13, pp. 1931-1946, (2010)

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