差分进化算法在传热反问题求解中的应用

摘要

A new method, which is combined with the Differential Evolution and the numerical heat transfer technique, is developed to solve the inverse heat transfer problem. Using this method, a Two-Dimensional Inverse Convective Heat Transfer Problem is solved. The result demonstrates that the method is correct and has good robust performance. The inlfuence of the number of measurement point is studied and the method to determinate the minimum measurement point is also given. The effect of the measurement error on solutions is given. The result shows that the method has good performance to hold back the magnifying ability for measurement error. It demonstrates that the method has good stability and practicability.%介绍通过耦合差分进化算法和数值传热学求解方法，发展了一种新的传热学反问题求解方法。以二维对流换热反问题为例，高精度的反演了热流密度，证明了该算法的正确性和鲁棒性。考察了测量点数目对反问题求解的影响，计算表明存在一个最少测量点数，并给出了确定最少测量点数的方法。研究了测量误差对算法的影响。结果表明该算法具有很强的抗噪能力，证明该算法具有很强的稳定性和实用性。