A priori testing of sparse adaptive polynomial chaos expansions using an ocean general circulation model database

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 th...

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Bibliographic Details
Published in:Computational geosciences 2013-12, Vol.17 (6), p.899-911
Main Authors: Winokur, Justin, Conrad, Patrick, Sraj, Ihab, Knio, Omar, Srinivasan, Ashwanth, Thacker, W. Carlisle, Marzouk, Youssef, Iskandarani, Mohamed
Format: Article
Language:English
Subjects:
Algorithms
Design engineering
Earth and Environmental Science
Earth Sciences
General circulation models
Geotechnical Engineering & Applied Earth Sciences
Hurricanes
Hydrogeology
Mathematical Modeling and Industrial Mathematics
Ocean circulation
Original Paper
Polynomials
Soil Science & Conservation
Studies
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Summary: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.
ISSN:1420-0597
1573-1499
DOI:10.1007/s10596-013-9361-3