Kriging models for global approximation in simulation-based multidisciplinary design optimization
Kriging models for global approximation in simulation-based multidisciplinary design optimization
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DOI：
10.2514/2.1234
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发表时间：
2001-12-01
期刊：
影响因子：
2.5
通讯作者：
Mistree, F
中科院分区：
文献类型：
--
作者：
Simpson, TW;Mistree, F
响应面法在航空航天工程中有着广泛的应用，特别是在多学科设计优化中。我们调查使用克里格模型作为替代传统的二阶多项式响应面用于构建全球近似使用在一个真实的航空航天工程应用，即，设计的塞式喷管。我们的目标是研究的困难，建立和使用克里格模型，以创建准确的全球近似，以促进多学科的设计优化。响应面和克里金模型的误差分析进行，沿着与图形比较的近似。四个优化问题也制定和解决使用这两套近似模型，以深入了解其用于多学科设计优化。我们发现，克里金模型，它只使用一个恒定的“全球”模型和高斯相关函数，产生全球近似比响应面模型更准确。
Response surface methods have been used for a variety of applications in aerospace engineering, particularly in multidisciplinary design optimization. We investigate the use of kriging models as alternatives to traditional second-order polynomial response surfaces for constructing global approximations for use in a real aerospace engineering application, namely, the design of an aerospike nozzle. Our objective is to examine the difficulties in building and using kriging models to create accurate global approximations to facilitate multidisciplinary design optimization. Error analysis of the response surface and kriging models is performed, along with a graphical comparison of the approximations. Four optimization problems are also formulated and solved using both sets of approximation models to gain insight into their use for multidisciplinary design optimization. We find that the kriging models, which use only a constant "global" model and a Gaussian correlation function, yield global approximations that are slightly more accurate than the response surface models.