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

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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.

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Authors and Affiliations

  1. Department of Mechanical Engineeringand Materials Science, Duke University, Durham, NC, 27708, USA

    Justin Winokur, Ihab Sraj, Omar Knio & Mohamed Iskandarani

  2. Department of Aeronautics and Astronautics, Massachusetts Insitute of Technology, Cambridge, MA, 02139, USA

    Patrick Conrad & Youssef Marzouk

  3. Rosenstiel School of Marine and Atmospheric Science, University of Miami, 4600 Rickenbacker Causeway, Miami, FL, 33149, USA

    Ashwanth Srinivasan

  4. Cooperative Institute of Marine and Atmospheric Sciences, Miami, FL, 33149, USA

    W. Carlisle Thacker

  5. Atlantic Oceanographic and Meteorological Laboratory, Miami, FL, 33149, USA

    W. Carlisle Thacker

Authors
  1. Justin Winokur
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  2. Patrick Conrad
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  3. Ihab Sraj
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  4. Omar Knio
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  5. Ashwanth Srinivasan
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  6. W. Carlisle Thacker
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  7. Youssef Marzouk
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  8. Mohamed Iskandarani
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Corresponding author

Correspondence to Mohamed Iskandarani.

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Winokur, J., Conrad, P., Sraj, I. et al. A priori testing of sparse adaptive polynomial chaos expansions using an ocean general circulation model database. Comput Geosci 17, 899–911 (2013). https://doi.org/10.1007/s10596-013-9361-3

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  • DOI: https://doi.org/10.1007/s10596-013-9361-3

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