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.通过对单峰型函数进行验证,分析了各种方法的特点,对3种方法在精度、程序实现性以及积分奇异点处理等方面进行了比较,指出它们在不同的实际温度场分析计算中各自的优势.
According to the Abel inversion in the analysis of arc plasma temperature field, three numerical solutions were put forward： cubic spline interpolation method, Radon inversion method and curve fitting method on dispersed data table. Properties of these methods were analyzed through validating the single apex function. Precision, realization of program and the solution of integral singularity of these three methods were discussed. It is proved that these methods have their own advantages on different cases in the analyzing and calculating of actual temperature field.
出处
《上海交通大学学报》
EI
CAS
CSCD
北大核心
2005年第8期1375-1378,1388,共5页
Journal of Shanghai Jiaotong University
