This paper aims to provide an aerodynamic optimization procedure to improve the aerodynamic performance of single-layer spherical domes, by coupling the kriging surrogate model with computational fluid dynamics (CFD) and finite element analysis (FEA). Firstly, a series of wind tunnel tests on the mean pressures and wind-induced behavior of a single-layer spherical latticed shell, were carried out to investigate the effect of dome geometric parameters. Then, the Reynolds-averaged Navier-Stokes equations and RSM turbulence model were utilized for simulating the wind loads on spherical domes, and the numerical results are validated with experimental data. On this basis, the single-objective aerodynamic optimization of spherical domes based on ordinary kriging surrogates has been carried out to find out the optimal geometric parameters (rise/span and wall-height/span ratios). The objectives were minimizing the highest mean suction and the maximum vertical displacement, respectively. The optimization results showed that the optimal design of spherical domes exhibits a reasonable aerodynamic performance improvement compared with the near optimal solutions. In addition, the highest mean suction and the maximum vertical displacement can be reduced by decreasing the wall-height of the dome, and a good trade-off between the two objectives can be achieved by selecting suitable dome geometric parameters.

本文旨在通过将克里格模型替代模型与计算流体动力学（CFD）和有限元分析（FEA）耦合，提供一种改善单层球形穹顶空气动力学性能的空气动力学优化程序。首先，对单层球形网格壳的平均压力和风致行为进行了一系列风洞试验，以研究圆顶几何参数的影响。然后，利用雷诺平均的Navier-Stokes方程和RSM湍流模型来模拟球形穹顶上的风荷载，并用实验数据验证了数值结果。在此基础上，进行了基于普通克里格替代品的球形穹顶的单目标空气动力学优化，以找出最佳的几何参数（升/跨度和壁高/跨度比）。目标分别是使最大平均吸力和最大垂直位移最小化。优化结果表明，与近乎最优的解决方案相比，球形穹顶的优化设计具有合理的气动性能改进。另外，可以通过减小圆顶的壁高来减小最高平均吸力和最大垂直位移，并且可以通过选择合适的圆顶几何参数来实现两个物镜之间的良好折衷。分别。优化结果表明，与近乎最优的解决方案相比，球形穹顶的优化设计具有合理的气动性能改进。另外，可以通过减小圆顶的壁高来减小最高平均吸力和最大垂直位移，并且可以通过选择合适的圆顶几何参数来实现两个物镜之间的良好折衷。分别。优化结果表明，与近乎最优的解决方案相比，球形穹顶的优化设计具有合理的气动性能改进。另外，可以通过减小圆顶的壁高来减小最高平均吸力和最大垂直位移，并且可以通过选择合适的圆顶几何参数来实现两个物镜之间的良好折衷。