High-Precision Direct Method for the Radiative Transfer Problems

It is the main aim of this paper to investigate the numerical methods of the radiative transfer equation. Using the five-point formula to approximate the differential part and the Simpson formula to substitute for integral part respectively, a new high-precision numerical scheme, which has 4-order l...

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Bibliographic Details
Published inCommunications in theoretical physics Vol. 59; no. 6; pp. 782 - 788
Main Authors Zhang, Yan, Hou, Su-Qing, Yang, Ping, Wu, Kai-Su
Format Journal Article
LanguageEnglish
Published 01.06.2013
Subjects
Approximation
Integrals
Mathematical analysis
Mathematical models
Numerical analysis
Radiative transfer
Theoretical physics
Truncation errors
局部截断误差
微分环
数值方法
组成部分
计算结果
辐射传输方程
辛普森
高精度
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Summary:It is the main aim of this paper to investigate the numerical methods of the radiative transfer equation. Using the five-point formula to approximate the differential part and the Simpson formula to substitute for integral part respectively, a new high-precision numerical scheme, which has 4-order local truncation error, is obtained. Subsequently, a numerical example for radiative transfer equation is carried out, and the calculation results show that the new numerical scheme is more accurate.
Bibliography:radiative transfer equation, direct method, five-point numerical formula, truncation error
It is the main aim of this paper to investigate the numerical methods of the radiative transfer equation. Using the five-point formula to approximate the differential part and the Simpson formula to substitute for integral part respectively, a new high-precision numerical scheme, which has 4-order local truncation error, is obtained. Subsequently, a numerical example for radiative transfer equation is carried out, and the calculation results show that the new numerical scheme is more accurate.
11-2592/O3
ZHANG Yan , HOU Su-Qing ,YANG Ping and WU Kai-Su（ 1Beijing University of Chemical Technology, Beijing 100029, China 2Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China 3University of Chinese Academy of Sciences, Beijing 100049, China）
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0253-6102
DOI:10.1088/0253-6102/59/6/22