基于Kriging近似函数的变复杂度近似模型

Variable Complexity Approximation Model Using Kriging Approximation Function

为解决飞行器多学科不确定性设计与优化过程中多次调用计算复杂的高精度学科分析模型带来的计算复杂性问题，结合变复杂度建模思想和Kriging近似函数，建立了基于Kriging近似函数的变复杂度近似模型。该近似模型的构造基于较少的高精度模型取样点和较多的低精度模型取样点，在满足近似精度的要求下可大大减小高精度模型近似模型构造的计算成本。数学算例和某飞行器气动力变复杂度近似模型算例证明了该方法的有效性。

In the process of aircraft multidisciplinary uncertainty design optimization, there exits calculation complexity problem due to frequently calling high accuracy disciplinary analysis model, variable complexity approximation model using kriging approximation function were established for solving the calculation complexity problem by taking into account both variable complexity modeling idea and kriging approximation function. Because of constructing this variable complexity approximation model using less high accuracy and more low accuracy disciplinary analysis model sampling sites, the calculation cost for constructing required accuracy approximation model can been reduce greatly. Both mathematics example and aircraft aerodynamics variable complexity approximation model example testify the presented method of this paper has good efficiency.