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Spatial Resolution Enhancement and Reconstruction of Mixed Convection Data Using Kriging Method

[+] Author Affiliations
H. E. Cekli, H. Gunes

Istanbul Technical University

Paper No. IMECE2006-14019, pp. 447-456; 10 pages
doi:10.1115/IMECE2006-14019
From:
  • ASME 2006 International Mechanical Engineering Congress and Exposition
  • Heat Transfer, Volume 3
  • Chicago, Illinois, USA, November 5 – 10, 2006
  • Conference Sponsors: Heat Transfer Division
  • ISBN: 0-7918-4786-1 | eISBN: 0-7918-3790-4
  • Copyright © 2006 by ASME

abstract

In this paper we investigate the use of Kriging method in order to reconstruct and enhance the resolution of mixed convection data. Direct numerical solutions are performed for mixed convection in a two-dimensional partially open rectangular cavity with a flush-mounted discrete heat source on a heat conducting vertical board. An external airflow enters the cavity through an opening in the left vertical wall and exits from the opposite opening in the right vertical wall. Kriging is a statistical tool useful in many disciplines such as geology, thermo-fluid systems, process engineering, environment and medicine. Kriging is used to estimate unknown values from data observed at known locations. A variogram is usually constructed to account for the spatial variation of known data. Kriging gives an unbias estimate for the unknown value using a weighted linear combination of the available data. In this paper, we investigate the capabilities of Kriging procedure for transitional mixed convection flows. Particularly, the effect of various types of variograms (e.g. polynomial, exponential and spherical functions, etc.) on the effectiveness of the Kriging procedure has been studied in detail. The use of Kriging for the resolution enhancement and for the reconstruction of large missing zone (black zone) is investigated. It is found that the gappy data for both periodic and non-periodic (quasi-periodic) flows can be remarkably recovered by the method. While we apply the method for DNS data in order to assess its effectiveness, the method should be particularly very useful for experimental data, where some enhancement/smoothing is generally required.

Copyright © 2006 by ASME

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