提高热平衡积分法精确度的一种新方法

A New Method for Improving the Accuracy of the Heat Balance Integral Method

提出了一种新的误差测量函数,通过确定误差测量函数的最小值,寻求形式为多项式的温度近似函数的最高次数n的取值.该方法避免了Langford所提出的"当t趋于0时,误差测量函数的误差趋于无穷"的不足之处.算例表明新方法比2012年Myers与Mitchell提出的改进的误差测量法精度更高.

This paper proposes a new error measurement function, through the minimum value of the measurement error to find out the optimal value of the exponent of the approximated function chosen as a polynomial. This method can avoid the case that the error tends to infinity when t tends to 0. An example shows that the new method can obtain a higher precision, compared to Myers and Mitchell＇s method proposed in 2012.