Propagating boundary uncertainties using polynomial expansions

W. C. Thacker, A. Srinivasan, Mohamed Iskandarani, O. M. Knio, M. Le Hénaff

Research output: Contribution to journalArticle

25 Citations (Scopus)

Abstract

The method of polynomial chaos expansions is illustrated by showing how uncertainties in boundary conditions specifying the flow from the Caribbean Sea into the Gulf of Mexico manifest as uncertainties in a model's simulation of the Gulf's surface elevation field. The method, which has been used for a variety of engineering applications, is explained within an oceanographic context and its advantages and disadvantages are discussed. The method's utility requires that the spatially and temporally varying uncertainties of the inflow be characterized by a small number of independent random variables, which here correspond to amplitudes of spatiotemporal modes inferred from an available boundary climatology.

Original languageEnglish (US)
Pages (from-to)52-63
Number of pages12
JournalOcean Modelling
Volume43-44
DOIs
StatePublished - 2012

Fingerprint

Polynomials
Climatology
chaotic dynamics
Random variables
Chaos theory
climatology
inflow
boundary condition
Boundary conditions
engineering
simulation
Uncertainty
method
gulf
sea

Keywords

  • Error propagation
  • Gulf of Mexico
  • HYCOM
  • Loop Current
  • Ocean modeling
  • Polynomial chaos
  • Spectral stochastic expansions
  • Uncertainty quantification

ASJC Scopus subject areas

  • Atmospheric Science
  • Oceanography
  • Geotechnical Engineering and Engineering Geology
  • Computer Science (miscellaneous)

Cite this

Propagating boundary uncertainties using polynomial expansions. / Thacker, W. C.; Srinivasan, A.; Iskandarani, Mohamed; Knio, O. M.; Hénaff, M. Le.

In: Ocean Modelling, Vol. 43-44, 2012, p. 52-63.

Research output: Contribution to journalArticle

Thacker, W. C. ; Srinivasan, A. ; Iskandarani, Mohamed ; Knio, O. M. ; Hénaff, M. Le. / Propagating boundary uncertainties using polynomial expansions. In: Ocean Modelling. 2012 ; Vol. 43-44. pp. 52-63.
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