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| 电弧等离子体温度场中Abel逆变换的数值算法分析 | |
| 引用本文： | 邵华,朱丹平,吴毅雄. 电弧等离子体温度场中Abel逆变换的数值算法分析[J]. 计算物理, 2005, 22(5): 431-436 |
| 作者姓名： | 邵华 朱丹平 吴毅雄 |
| 作者单位： | 1. 上海交通大学焊接工程研究所, 上海 200030;2. 金属基复合材料国家重点实验室, 上海 20030 |
| 摘 要： | 针对电弧等离子体温度场分析中Abel逆变换的计算,提出了3种数值解法:三次样条插值法、Radon逆变换法以及离散数据曲线拟合法.通过对单峰、双峰型函数的验证,分析了3种方法各自的特点,得到这3种方法在精度、程序实现性以及积分奇异点处理等方面的比较,指出了在不同实际温度场分析计算中3种方法各自的优势. |
| 关 键 词： | 电弧等离子体 Abel逆变换 三次样条插值 Radon逆变换 曲线拟合 |
| 文章编号： | 1001-246X（2005）05-0431-06 |
| 收稿时间： | 2004-05-25 |
| 修稿时间： | 2004-11-29 |
Numerical Methods for the Abel Inversion of Temperature Field in an Arc Plasma |
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| SHAO Hua,ZHU Dan-ping,WU Yi-xiong. Numerical Methods for the Abel Inversion of Temperature Field in an Arc Plasma[J]. Chinese Journal of Computational Physics, 2005, 22(5): 431-436 | |
| Authors: | SHAO Hua ZHU Dan-ping WU Yi-xiong |
| Affiliation: | 1. Welding & Engineering Institute, Shanghai Jiaotong University, Shanghai 200030, China;2. The State Key Laboratory of MMC, Shanghai 200030, China |
| Abstract: | Concerning the Abel inversion in the analysis of arc plasma temperature field,three numerical methods are put forward.They are the cubic spline interpolation method,the Radon inversion method and the curve fitting method on dispersed data table.In validating the single apex and double apex functions,characteristics of these methods are analyzed.Precision,realization of program and the solution of integral singularity of these methods are discussed.It is shown that these methods have their own advantages in different cases in the calculating of actual temperature fields. |
| Keywords: | arc plasma Abel inversion cubic spline interpolation Radon inversion curve fitting |
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