年間 6 号発行
ISSN 印刷: 2152-5080
ISSN オンライン: 2152-5099
Indexed in
A MATHEMATICAL AND COMPUTATIONAL FRAMEWORK FOR MULTIFIDELITY DESIGN AND ANALYSIS WITH COMPUTER MODELS
要約
A multifidelity approach to design and analysis for complex systems seeks to exploit optimally all available models and data. Existing multifidelity approaches generally attempt to calibrate low-fidelity models or replace low-fidelity analysis results using data from higher fidelity analyses. This paper proposes a fundamentally different approach that uses the tools of estimation theory to fuse together information from multifidelity analyses, resulting in a Bayesian-based approach to mitigating risk in complex system design and analysis. This approach is combined with maximum entropy characterizations of model discrepancy to represent epistemic uncertainties due to modeling limitations and model assumptions. Mathematical interrogation of the uncertainty in system output quantities of interest is achieved via a variance-based global sensitivity analysis, which identifies the primary contributors to output uncertainty and thus provides guidance for adaptation of model fidelity. The methodology is applied to multidisciplinary design optimization and demonstrated on a wing-sizing problem for a high altitude, long endurance vehicle.
-
Zhang Zheng, Yang Xiu, Oseledets Ivan V., Karniadakis George E., Daniel Luca, Enabling High-Dimensional Hierarchical Uncertainty Quantification by ANOVA and Tensor-Train Decomposition, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 34, 1, 2015. Crossref
-
Ulker Fatma, Allaire Douglas, Willcox Karen, Sensitivity-guided decision-making for wind farm micro-siting, International Journal for Numerical Methods in Fluids, 83, 1, 2017. Crossref
-
Peherstorfer Benjamin, Willcox Karen, Gunzburger Max, Optimal Model Management for Multifidelity Monte Carlo Estimation, SIAM Journal on Scientific Computing, 38, 5, 2016. Crossref
-
Thanos Aristotelis E., Bastani Mehrad, Celik Nurcin, Chen Chun-Hung, Dynamic Data Driven Adaptive Simulation Framework for Automated Control in Microgrids, IEEE Transactions on Smart Grid, 8, 1, 2017. Crossref
-
Koziel Slawomir, Leifsson Leifur, Introduction, in Simulation-Driven Design by Knowledge-Based Response Correction Techniques, 2016. Crossref
-
Bryson Dean E., Rumpfkeil Markus P., Variable-Fidelity Surrogate Modeling of Lambda Wing Transonic Aerodynamic Performance, 54th AIAA Aerospace Sciences Meeting, 2016. Crossref
-
Imai Shigeru, Blasch Erik, Galli Alessandro, Zhu Wennan, Lee Frederick, Varela Carlos A., Airplane flight safety using error-tolerant data stream processing, IEEE Aerospace and Electronic Systems Magazine, 32, 4, 2017. Crossref
-
Bryson Dean, Rumpfkeil Markus P., Comparison of Unifed and Sequential-Approximate Approaches to Multifdelity Optimization, 58th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, 2017. Crossref
-
Bryson Dean E., Rumpfkeil Markus P., All-at-once approach to multifidelity polynomial chaos expansion surrogate modeling, Aerospace Science and Technology, 70, 2017. Crossref
-
Yondo Raul, Andrés Esther, Valero Eusebio, A review on design of experiments and surrogate models in aircraft real-time and many-query aerodynamic analyses, Progress in Aerospace Sciences, 96, 2018. Crossref
-
Peherstorfer Benjamin, Willcox Karen, Gunzburger Max, Survey of Multifidelity Methods in Uncertainty Propagation, Inference, and Optimization, SIAM Review, 60, 3, 2018. Crossref
-
Razi Mani, Kirby Robert M., Narayan Akil, Fast predictive multi-fidelity prediction with models of quantized fidelity levels, Journal of Computational Physics, 376, 2019. Crossref
-
Cook Laurence W., Jarrett Jerome P., Willcox Karen E., Generalized information reuse for optimization under uncertainty with non‐sample average estimators, International Journal for Numerical Methods in Engineering, 115, 12, 2018. Crossref
-
Feldstein Alex, Lazzara David, Princen Norman, Willcox Karen, Multifidelity Data Fusion: Application to Blended-Wing-Body Multidisciplinary Analysis Under Uncertainty, AIAA Journal, 58, 2, 2020. Crossref
-
Giselle Fernández-Godino M., Park Chanyoung, Kim Nam H., Haftka Raphael T., Issues in Deciding Whether to Use Multifidelity Surrogates, AIAA Journal, 57, 5, 2019. Crossref
-
Ghoreishi Seyede Fatemeh, Molkeri Abhilash, Srivastava Ankit, Arroyave Raymundo, Allaire Douglas, Multi-Information Source Fusion and Optimization to Realize ICME: Application to Dual-Phase Materials, Journal of Mechanical Design, 140, 11, 2018. Crossref
-
Sanghvi Meet, Honarmandi Pejman, Attari Vahid, Duong Thien, Arroyave Raymundo, Allaire Douglas L., Uncertainty Propagation via Probability Measure Optimized Importance Weights with Application to Parametric Materials Models, AIAA Scitech 2019 Forum, 2019. Crossref
-
Yang Qiang, Meng Songhe, Jin Hua, Xie Weihua, Zhang Xinghong, Multi-fidelity uncertainty quantification method with application to nonlinear structural response analysis, Applied Mathematical Modelling, 75, 2019. Crossref
-
Peherstorfer Benjamin, Marzouk Youssef, A transport-based multifidelity preconditioner for Markov chain Monte Carlo, Advances in Computational Mathematics, 45, 5-6, 2019. Crossref
-
Bayoumy Ahmed H., Kokkolaras Michael, A Relative Adequacy Framework for Multi-Model Management in Design Optimization, Journal of Mechanical Design, 142, 2, 2020. Crossref
-
Abdallah Imad, Tatsis Konstantinos, Chatzi Eleni, Unsupervised local cluster-weighted bootstrap aggregating the output from multiple stochastic simulators, Reliability Engineering & System Safety, 199, 2020. Crossref
-
Koziel Slawomir, Pietrenko-Dabrowska Anna, Introduction, in Performance-Driven Surrogate Modeling of High-Frequency Structures, 2020. Crossref
-
Khatamsaz Danial, Peddareddygari Lalith, Friedman Samuel, Allaire Douglas, Bayesian Optimization of Multiobjective Functions Using Multiple Information Sources, AIAA Journal, 59, 6, 2021. Crossref
-
Pinti Orazio, Oberai Assad A., Healy Richard, Niemiec Robert J., Gandhi Farhan, Multi-Fidelity Approach to Predicting Multi-Rotor Aerodynamic Interactions, AIAA Journal, 60, 6, 2022. Crossref
-
Ghoreishi Seyede Fatemeh, Molkeri Abhilash, Arróyave Raymundo, Allaire Douglas, Srivastava Ankit, Efficient use of multiple information sources in material design, Acta Materialia, 180, 2019. Crossref
-
Parsonage Ben, Maddock Christie Alisa, Multi-stage Multi-fidelity Information Correction for Artificial Neural Network Based Meta-modelling, 2020 IEEE Symposium Series on Computational Intelligence (SSCI), 2020. Crossref
-
Wu Neil, Mader Charles A., Martins Joaquim R. R. A., A Gradient-based Sequential Multifidelity Approach to Multidisciplinary Design Optimization, Structural and Multidisciplinary Optimization, 65, 4, 2022. Crossref
-
Cataldo Giuseppe, Qian Elizabeth, Auclair Jeremy, Multifidelity uncertainty quantification and model validation of large-scale multidisciplinary systems, Journal of Astronomical Telescopes, Instruments, and Systems, 8, 03, 2022. Crossref
-
James Jaylen R., Sanghvi Meet, Gerlt Austin R. C., Allaire Douglas, Arroyave Raymundo, Gonzales Manny, Optimized uncertainty propagation across high fidelity taylor anvil simulation, Frontiers in Materials, 9, 2022. Crossref