Sensitivity Analysis and Design Optimization Methods for Problems of Heat Transfer with Phase Change
相变传热问题的灵敏度分析与优化设计方法

The design optimization and sensitivity analysis methods for the problems of transient heat transfer with phase change have been researched in the paper. On the basis of phase-change temperature field solution with the finite element, time difference, and equivalent heat capacity methods, the numerical method to compute the first-order derivatives of temperature with respect to design variables is proposed. Two computational schemes of the direct method and the adjoint method have been given, and their characteristics have been discussed. The optimization model and algorithm are built for the transient temperature filed with phase change. These methods have been implemented within the software JIFEX for finite element analysis and design optimization. The numerical results of example problems are given to illustrate the accuracy of sensitivity analysis and the effectiveness of design optimization.