Abstract
We investigate uncertainty propagation in the context of high-end complex simulation codes, whose runtime on one configuration is on the order of the total limit of computational resources. To this end, we study the use of lower-fidelity data generated by proper orthogonal decomposition-based model reduction. A Gaussian process approach is used to model the difference between the higher-fidelity and the lower-fidelity data. The approach circumvents the extensive sampling of model outputs - impossible in our context - by substituting abundant, lower-fidelity data in place of high-fidelity data. This enables uncertainty analysis while accounting for the reduction in information caused by the model reduction. We test the approach on Navier-Stokes flow models: first on a simplified code and then using the scalable high-fidelity fluid mechanics solver Nek5000. We demonstrate that the approach can give reasonably accurate while conservative error estimates of important statistics including high quantiles of the drag coefficient.
Original language | English (US) |
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Pages (from-to) | 748-769 |
Number of pages | 22 |
Journal | International Journal of Computer Mathematics |
Volume | 91 |
Issue number | 4 |
DOIs | |
State | Published - Apr 2014 |
Keywords
- Gaussian processes
- kriging
- model reduction
- proper orthogonal decomposition
- uncertainty quantification
ASJC Scopus subject areas
- Computer Science Applications
- Computational Theory and Mathematics
- Applied Mathematics