中文摘要：

基于无网格再生核粒子法（RKMP）,采用等效热容法处理相变潜热的吸收和释放,通过求解梯度折射率辐射传输方程处理变折射率问题,建立半透明材料相变过程的辐射导热耦合统一的计算方法。计算了一维晶体和非晶体半透明材料凝固过程温度响应特性,考虑了折射率变化对相变过程的影响,通过和文献值对比,验证了RKPM能够模拟含有相变过程的辐射传输问题,且具有良好的精度。

英文摘要：

A calculation method is established for phase change process of coupling radiation and conduction of one-dimensional semitransparent materials based on the meshless reproducing kernel particle method（RKPM）,to dealing with graded index problem by solving the gradient refractive index radiative transfer equation,and the equivalent heat capacity method is used for latent heat absorption and release.The temperature response characteristics of one dimensional solidification process of crystalline and amorphous semitransparent material has been calculated,considering the influence of refractive index change to the phase change process.The results show that the RKPM method can well simulate radiative transfer problem containing phase change process comparing the results with those in the literatures,and has good precision.