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

Journal Article

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. © 2013 Springer Science+Business Media Dordrecht.

Full Text

Cited Authors

  • Winokur, J; Conrad, P; Sraj, I; Knio, O; Srinivasan, A; Thacker, WC; Marzouk, Y; Iskandarani, M

Published Date

  • 2013

Published In

Volume / Issue

  • 17 / 6

Start / End Page

  • 899 - 911

International Standard Serial Number (ISSN)

  • 1420-0597

Digital Object Identifier (DOI)

  • 10.1007/s10596-013-9361-3