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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/5499

Title: Spatial discretization errors in the heat flux integral of the discrete transfer method
Authors: Versteeg, Henk K.
Henson, Jonathan C.
Malalasekera, W.
Issue Date: 2000
Publisher: © Taylor & Francis
Citation: VERSTEEG, H.K., HENSON, J.C. and MALALASEKERA, W., 2000. Spatial discretization errors in the heat flux integral of the discrete transfer method. Numerical Heat Transfer, Part B: Fundamentals, 38 (4), pp. 333 - 352
Abstract: The discrete transfer method ( DTM) is a widely used algorithm for the computation of radiative heat transfer in enclosures. The truncation error in the heat flux integral associated with the method is the difference between the actual heat flux and its DTM approximation. Estimates were presented by Versteeg et al. [ 1, 2] of the error associated with the discretization of the hemisphere around irradiated points in enclosures filled with transparent and nonscattering participating media. In this article we quantify the errors due to the spatial discretisation of the enclosure surface and medium conditions. We have studied radiation problems in enclosures with nonhomogeneous absorbing/emitting media with nonuniform surface intensity based on Hsu and Farmer’s benchmark case E1 [ 3] . Our error estimates are found to be in excellent agreement with the actual DTM errors and have been used successfully to predict the convergence rates of the DTM as the control-volume mesh is refined.
Description: This article is closed access, it is an article from the journal, Numerical Heat Transfer, Part B [© Taylor & Francis]. The definitive version is available at: http://dx.doi.org/10.1080/104077900459176
Version: Closed access
DOI: 10.1080/104077900459176
URI: https://dspace.lboro.ac.uk/2134/5499
ISSN: 1040-7790
Appears in Collections:Closed Access (Mechanical and Manufacturing Engineering)

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