基于代理模型的二元收扩喷管流道型面优化设计

在二元收扩（2D-CD）喷管设计参数对喷管气动性能影响研究的基础上，以获得尽可能高的喷管推力系数为目标，以喉道宽高比、喉道型面半径比、收敛半角和扩张半角为设计变量，对二元收扩喷管的流道型面进行了优化设计。设计过程中，利用正交试验设计方法确定初始样本点，建立喷管推力系数与设计参数间的Kriging代理模型，采用自适应模拟退火算法（ASA）对代理模型进行分析求解。结果表明，二元收扩喷管的优化型面参数为:喉道宽高比为6，喉道型面半径比为0.3，收敛半角为15°，扩张半角为5.64°，此时最大推力系数为0.97847，流量系数为0.98778. 

Optimization design of two dimensional convergent and divergent nozzles' profile based on surrogate models

Based on the influence research of design parameters on the aerodynamic performance of two dimensional convergent and divergent (2D-CD) nozzle, the optimization design of 2D-CD nozzles'' profile was conducted. The goal of optimization design was to get thrust coefficient as high as possible. The design variables of optimization design were throat aspect ratio, throat radius ratio, convergent half angle, divergent half angle. In the design process, the initial sample points were selected using the orthogonal experiment design method, then the Kriging surrogate model of thrust coefficient for design parameters was established. The analysis and optimization was conducted with the Adaptive Simulated Annealing Algorithm (ASA). The results show that when the throat aspect ratio is 6, throat radius ratio is 0.3, convergent half angle is 15°, divergent half angle is 5.64°, the maximum thrust coefficient of the 2D-CD nozzle is 0.97847, and the flow coefficient is 0.98778.