A priori testing of sparse adaptive polynomial chaos expansions using an ocean general circulation model database
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10596_2013_Article_9361.pdf
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Author(s)
Winokur, Justin
Sraj, Ihab
Knio, Omar
Srinivasan, Ashwanth
Iskandarani, Mohamed
Thacker, W. Carlisle
Conrad, Patrick Raymond
Marzouk, Youssef M
Date Issued
July 2013
Journal
Computational Geosciences
Publisher
Springer Netherlands
Citation
Winokur, Justin, Patrick Conrad, Ihab Sraj, Omar Knio, Ashwanth Srinivasan, W. Carlisle Thacker, Youssef Marzouk, and Mohamed Iskandarani. “A Priori Testing of Sparse Adaptive Polynomial Chaos Expansions Using an Ocean General Circulation Model Database.” Computational Geosciences 17, no. 6 (July 4, 2013): 899–911.
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Author's final manuscript
Abstract
This work explores the implementation of an adaptive strategy to design sparse ensembles of oceanic simulations suitable for constructing polynomial chaos surrogates. We use a recently developed pseudo-spectral algorithm that is based on a direct application of the Smolyak sparse grid formula and that allows the use of arbitrary admissible sparse grids. The adaptive algorithm is tested using an existing simulation database of the oceanic response to Hurricane Ivan in the Gulf of Mexico. The a priori tests demonstrate that sparse and adaptive pseudo-spectral constructions lead to substantial savings over isotropic sparse sampling in the present setting.
MIT Department
Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1007/s10596-013-9361-3
