Gappy data: To Krig or not to Krig?

  • Authors:
  • Hasan Gunes;Sirod Sirisup;George Em Karniadakis

  • Affiliations:
  • Department of Mechanical Engineering, Istanbul Technical University, Gumussuyu, 80191 Istanbul, Turkey;Division of Applied Mathematics, Brown University, 182 George St., Box F, Providence, RI 02912, USA;Division of Applied Mathematics, Brown University, 182 George St., Box F, Providence, RI 02912, USA

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2006

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Abstract

Data recovery and reconstruction methods for unsteady flow fields with spatio-temporal missing data are studied based on proper orthogonal decomposition (POD) and on Kriging interpolation. It is found that for sufficient temporal resolution, POD-based methods outperform Kriging interpolation. However, for insufficient temporal resolution, large spatial gappiness or for flow fields with black zones, Kriging interpolation is more effective. The comparison is performed based on randomly generated laminar and turbulent flow fields obtained from simulations of uniform flow past a circular cylinder.