Meshless method for solving multidimensional radiative transfer in graded index medium

被引：24
|
作者：
Wang, Cheng-An [1 ]
Sadat, Hamou [1 ]
Le Dez, Vital [1 ]
机构：
[1] Univ Poitiers, CNRS, Inst PPRIME, ENSMA,Dept Fluides, F-86022 Poitiers, France
来源：
APPLIED MATHEMATICAL MODELLING | 2012年 / 36卷 / 11期
关键词：
Meshless method; Radiative transfer; Graded index medium; Discrete ordinates; FINITE-ELEMENT-METHOD; EMITTING SEMITRANSPARENT SLAB; SPATIAL REFRACTIVE-INDEX; DIFFUSE APPROXIMATION METHOD; HEAT-TRANSFER; NATURAL-CONVECTION; TRANSFER EQUATION; GEOMETRICAL-OPTICS; TEMPERATURE-FIELD; VOLUME METHOD;
D O I：
10.1016/j.apm.2011.12.027
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A diffuse approximation meshless (DAM) method is presented to solve the radiative transfer equation (RTE) in a graded index medium. The meshless method can solve the equation directly without using an upwind scheme. Absorbing, emitting and scattering media with different kinds of graded indices in 1D and 2D geometries are tested. Prediction results obtained by the proposed method are compared with different references in order to illustrate the performance of this solution method. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：5309 / 5319
页数：11
相关论文
共 50 条
  • [41] Transient radiative transfer in two-dimensional graded index medium by Monte Carlo method combined with the time shift and superposition principle
    Wang, Cun-Hai
    Zhang, Yong
    Yi, Hong-Liang
    Tan, He-Ping
    NUMERICAL HEAT TRANSFER PART A-APPLICATIONS, 2016, 69 (06) : 574 - 588
  • [42] Transient Radiative Transfer in a Graded Index Slab with Fresnel Surfaces
    Zhang, Yong
    Zhou, Pu-Cheng
    Ma, Yu
    Yi, Hong-Liang
    Tan, He-Ping
    JOURNAL OF THERMOPHYSICS AND HEAT TRANSFER, 2016, 30 (03) : 513 - 522
  • [43] Solution of multi-dimensional radiative heat transfer in graded index media using the discrete transfer method
    Sarvari, S. M. Hosseini
    INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2017, 112 : 1098 - 1112
  • [44] Variational method for solving radiative transfer problems
    El-Shahat, A
    JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 2004, 85 (01): : 99 - 103
  • [45] Hybrid finite volume/finite element method for radiative heat transfer in graded index media
    Zhang, L.
    Zhao, J. M.
    Liu, L. H.
    Wang, S. Y.
    JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 2012, 113 (14): : 1826 - 1835
  • [46] Chebyshev collocation spectral method for one-dimensional radiative heat transfer in graded index
    Sun, Ya-Song
    Li, Ben-Wen
    INTERNATIONAL JOURNAL OF THERMAL SCIENCES, 2009, 48 (04) : 691 - 698
  • [47] Solution of radiative heat transfer in graded index media by least square spectral element method
    Zhao, J. M.
    Liu, L. H.
    INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2007, 50 (13-14) : 2634 - 2642
  • [48] Prediction of radiative intensity on thermal radiation transfer with graded index media by element differential method
    Li, Yifan
    Sun, Yasong
    Zhou, Ruirui
    Li, Sida
    Zheng, Aozhou
    Ma, Jing
    INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, 2023, 143
  • [49] Finite element approach for radiative transfer in multi-layer graded index cylindrical medium with Fresnel surfaces
    School of Energy Science and Engineering, Harbin Institute of Technology, 92 West Dazhi Street, Harbin, 150001, China
    J. Quant. Spectrosc. Radiat. Transf., 3 (420-432):
  • [50] Finite element approach for radiative transfer in multi-layer graded index cylindrical medium with Fresnel surfaces
    Zhang, L.
    Zhao, J. M.
    Liu, L. H.
    JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 2010, 111 (03): : 420 - 432
12345