Finite element method for radiation heat transfer in multi-dimensional graded index medium
Finite element method for radiation heat transfer in multi-dimensional graded index medium
复制标题
DOI：
10.1016/j.jqsrt.2005.05.067
复制
发表时间：
2006-02-01
影响因子：
2.3
通讯作者：
Tan, HP
中科院分区：
文献类型：
--
作者：
Liu, LH;Zhang, L;Tan, HP
在梯度折射率介质中，光线沿着由费马原理确定的曲线路径传播，曲线射线追踪非常困难和复杂。为了避免复杂的曲线射线轨迹计算，提出了一种基于离散坐标方程的有限元方法来求解多维非透明梯度折射率介质中的辐射传输问题。以两个特殊的辐射传递试验问题为例，验证了该有限元方法的有效性。用该方法计算了无量纲净辐射通量，并与有限体积法计算结果进行了比较。计算结果表明，本文提出的有限元方法在求解非透明梯度折射率介质中的多维辐射传输问题时具有很好的精度。(C)2005爱思唯尔有限公司保留所有权利。
In graded index medium, ray goes along a curved path determined by Fermat principle, and curved ray-tracing is very difficult and complex. To avoid the complicated and time-consuming computation of curved ray trajectories, a finite element method based on discrete ordinate equation is developed to solve the radiative transfer problem in a multi-dimensional semitransparent graded index medium. Two particular test problems of radiative transfer are taken as examples to verify this finite element method. The predicted dimensionless net radiative heat fluxes are determined by the proposed method and compared with the results obtained by finite volume method. The results show that the finite element method presented in this paper has a good accuracy in solving the multi-dimensional radiative transfer problem in semitransparent graded index medium. (C) 2005 Elsevier Ltd. All rights reserved.