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Article
Novel Adaptive Sampling Algorithm for POD-Based Non-Intrusive Reduced Order Model
AIAA Aviation and Aeronautics Forum and Exposition, AIAA AVIATION Forum 2021
  • Jiachen Wang
  • Xiaosong Du, Missouri University of Science and Technology
  • Joaquim R.R.A. Martins
Abstract

The proper orthogonal decomposition (POD) based reduced-order model (ROM) has been an effective tool for flow field prediction in the engineering industry. The sample selection in the design space for POD basis construction affects the ROM performance sensitively. Adaptive sampling can significantly reduce the number of samples to achieve the required model accuracy. In this work, we propose a novel adaptive sampling algorithm, called conjunction sampling strategy, which is based on proven strategies. The conjunction sampling strategy is demonstrated on airfoil flow field prediction within the transonic regime. We demonstrate the performance of the proposed strategy by running 10 trials for each strategy for the robustness tests. Results show that the conjunction sampling strategy consistently achieves higher predictive accuracy compared with Latin hypercube sampling (LHS) and existing strategies. Specifically, under the same computational budget (40 training samples in total), the conjunction strategy reduced the L2 error by 56.7% compared with LHS. In addition, the conjunction strategy reduced the standard deviation of L2 errors by 62.1% with a 2.6% increase on the mean error compared with the best existing strategy.

Department(s)
Mechanical and Aerospace Engineering
International Standard Book Number (ISBN)
978-162410610-1
Document Type
Article - Conference proceedings
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2023, All rights reserved.
Publication Date
1-1-2021
Publication Date
01 Jan 2021
Citation Information
Jiachen Wang, Xiaosong Du and Joaquim R.R.A. Martins. "Novel Adaptive Sampling Algorithm for POD-Based Non-Intrusive Reduced Order Model" AIAA Aviation and Aeronautics Forum and Exposition, AIAA AVIATION Forum 2021 (2021)
Available at: http://works.bepress.com/xiaosong-du/26/