New aspects of the diffusion approximation for radiative transfer

被引：4

作者：

Tschudi, Hans Rudolf ^{[1
]}

机构：

[1] Paul Scherrer Inst, CH-5232 Villigen, Switzerland

来源：

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER | 2008年 / 51卷 / 19-20期

关键词：

radiative transport; participating media; diffusion approximation; heat conduction;

D O I：

10.1016/j.ijheatmasstransfer.2008.01.029

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

The diffusion approximation is generalized to arbitrary locally isotropic participating media. It proves to be an approximate special solution of the full equation of radiative transfer accounting for absorption, scattering, and emission. This special Solution must be completed with a Solution of the radiative transfer equation without emission term in order to match the boundary conditions for the radiative field. Applied to combined heat and radiative transfer this scheme offers distinct computational advantages and broad applicability. Following these ideas a simple and robust method for one-dimensional radiation-conduction computations is constructed and verified. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：5008 / 5017

页数：10

共 50 条

[1] Diffusion approximation of radiative transfer equations in a channel
Bal, G
[J]. TRANSPORT THEORY AND STATISTICAL PHYSICS, 2001, 30 (2-3): : 269 - 293
[2] Diffusion approximation of radiative transfer problems with interfaces
Bal, G
Ryzhik, L
[J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 2000, 60 (06) : 1887 - 1912
[3] DIFFUSION-APPROXIMATION IN THE THEORY OF RADIATIVE-TRANSFER
CHEN, JF
YOU, JH
[J]. ASTROPHYSICS AND SPACE SCIENCE, 1993, 199 (01) : 19 - 22
[4] DIFFUSION APPROXIMATION FOR LARGE ABSORPTION IN RADIATIVE-TRANSFER
MEADOR, WE
WEAVER, WR
[J]. APPLIED OPTICS, 1979, 18 (08): : 1204 - 1208
[5] IMPROVED DIFFUSION APPROXIMATION TO RADIATIVE-TRANSFER IN ATMOSPHERES AND CLOUDS
MEADOR, WE
WEAVER, WR
[J]. JOURNAL OF THE OPTICAL SOCIETY OF AMERICA, 1977, 67 (02) : 261 - 261
[6] A new diffusion approximation to the radiative transfer equation for scattering media with spatially varying refractive indices
Khan, T
Jiang, HB
[J]. JOURNAL OF OPTICS A-PURE AND APPLIED OPTICS, 2003, 5 (02): : 137 - 141
[7] Radiative transfer: New aspects of the old theory
Kravtsov, YA
Apresyan, LA
[J]. PROGRESS IN OPTICS, VOL XXXVI, 1996, 36 : 179 - 244
[8] The radiative transfer equations: Diffusion approximation under accretiveness and compactness assumptions
Dogbe, C
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2001, 42 (6-7) : 783 - 791
[9] An implicit method for radiative transfer with the diffusion approximation in smooth particle hydrodynamics
Viau, S
Bastien, P
Cha, SH
[J]. ASTROPHYSICAL JOURNAL, 2006, 639 (01): : 559 - 570
[10] Finite element model for the coupled radiative transfer equation and diffusion approximation
Tarvainen, T
Vauhkonen, M
Kolehmainen, V
Kaipio, JP
[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2006, 65 (03) : 383 - 405

← 1 2 3 4 5 →