| 离散坐标法积分方案的选取 |
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| 引用本文： | 刘玉英,张欣欣.离散坐标法积分方案的选取[J].北京科技大学学报,2004,26(3):315-318. |
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| 作者姓名： | 刘玉英 张欣欣 |
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| 作者单位： | 北京科技大学机械工程学院热能工程系,北京,100083 |
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| 摘 要： | 以辐射平衡条件下一维平行平板介质层的辐射换热问题为例,介绍了求解辐射传递方程的离散坐标法,对影响离散坐标法计算精度与速度的角度积分方案的选取进行了研究.分析了离散坐标法常用的SN积分方案、Fiveland等权值积分方案FN及高斯积分方案GN对计算结果准确性的影响.研究表明:积分方案近似阶数越高,计算结果的精度越高,但随着积分方案阶数的增加,所需的计算量也增大;同一近似阶数的各种积分方案的准确性各不相同,其中FN积分方案在相同阶数下的精度最高,SN积分方案次之,GN积分方案的精度最差.在近似阶数足够高时上述三种积分方案均可达到较高的计算精度.
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| 关 键 词： | 辐射换热 离散坐标法 积分方案 离散坐标法 积分方案 选取 Discrete Ordinate Method Schemes Quadrature 计算量 计算精度 阶数 近似 结果 高斯 权值 分析 研究 速度 影响 辐射传递方程 求解 热问题 |
| 修稿时间： | 2003年7月2日 |
Selection of Angular Quadrature Schemes for Discrete Ordinate Method |
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| LIU Yuying,ZHANG Xinxin Thermal Engineering.Selection of Angular Quadrature Schemes for Discrete Ordinate Method[J].Journal of University of Science and Technology Beijing,2004,26(3):315-318. |
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| Authors: | LIU Yuying ZHANG Xinxin Thermal Engineering |
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| Institution: | LIU Yuying,ZHANG Xinxin Thermal Engineering Department,University of Science and Technology Beijing,Beijing 100083,China |
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| Abstract: | The radiative heat transfer of one-dimensional plane-parallel slabs under radiative equilibrium was
investigated by Discrete Ordinate Method (DOM). The selection of angular qudrature schemes, which is very im-
portant to the accuracy and calculation time of DOM, was studied. The accuracy of the S_N approximation quadrature
scheme, Fiveland's angular quadrature scheme with equal weights F_N and Gauss angular quadrature scheme G_N was
analyzed. It shows that the accuracy and computation time of DOM increases with the increasing of the order of
each quadrature scheme. The accuracy of DOM is different from each other for the three quadrature schemes with
the same order and F_N is the best one among them. As a conclusion, F_N is recommended in DOM calculations. |
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| Keywords: | radiative transfer discrete ordinate method angular quadrature scheme |
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