顺序函数法求解二维非稳态热传导逆问题

基于有限控制体积法对二维非稳态热传导问题的数值模拟，导出了处理二维非稳态热传导逆问题的顺序函数法，并用该方法来对一典型的圆环域边界条件反演问题进行了反演计算，结果表明，顺序函数法是求解二维非稳态热传导逆问题的有效方法，当测量噪声比较小时，顺序函数法能得出较高精度的反演结果；当测量噪声增大时，反演结果仍能较好地再现出精确解在空间和时间方向上的变化趋势，具有一定精度。

Solving two-dimensional transient inverse heat conduction problem with sequential function method

Based on the numerical simulation of two-dimensional transient heat conduction problem with the Finite Control Volume method(FCV), the Sequential Function Meth od(SFM) is developed to solve the two-dimensional transient Inverse Heat Conduct ion Problem(IHCP). After applying the SFM to a typical problem, inversion of the transient boundary heat flux of a circular domain, it is shown that the SFM is a feasible and effective method to deal with the two-dimensional transient IHCP . Especially, when the measurement noise level is low, the inversion results are of high accuracy. And when the measurement noise level rises, the inversion res ults can also reproduce the trend of the exact solution in time- and space-dom ain with certain accuracy.