Use of Adaptive Metamodeling for Design Optimization

* Research Assistant, Applied Research Laboratory. Phone: (814) 865-5930. Email: [email protected]. † Assistant Professor, Departments of Mechanical & Nuclear Engineering and Industrial & Manufacturing Engineering. Member AIAA. Corresponding Author. Phone/fax: (814) 863-7136/4745. Email: [email protected]. ABSTRACT This paper describes a method to implement an adaptive metamodeling procedure during simulationbased design. Metamodels can be used for design space visualization and design optimization applications when model evaluation performance is critical. The proposed method uses a sequential technique to update a kriging metamodel. This sequential technique will determine the point of the metamodel’s design space with the maximum mean square error and select this as the next point to use to update the metamodel. At each iteration the quality of the metamodel is assessed using a leavek-out cross-validation technique with three different values for k. The method is intended to permit continuous updating of the metamodel to investigate the entire design space without concern of finding an optimal value in the metamodel or model.