An analysis of the symmetry issue in the ℓ-distribution method of gas radiation in non-uniform gaseous media. (March 2017)

• Record Type: Journal Article
• Authors: André, Frédéric
• Is Part Of: Journal of quantitative spectroscopy & radiative transfer. Volume 190(2017)
• Page Start: 78
• Page End: 87
• Publication Date: 2017-03
• Subjects: COG Curve-Of-Growth -- EGA Emissivity Growth Approximation -- GWN Godson-Weinreb-Neuendorffer's method -- ICE Iterative Copula Evaluation -- LBL Line-By-Line -- LS-ICE Iterative Copula Evaluation with Levy Subordinators -- SNB Statistical Narrow Band model; ℓ-distribution -- Godson-Weinreb-Neuendorffer's method -- Levy subordinated Archimedean copulas -- Symmetry; Spectrum analysis -- Periodicals; Radiation -- Periodicals; Analyse spectrale -- Périodiques; Rayonnement -- Périodiques; Radiation; Spectrum analysis; Periodicals; 543.0858
• DOI: 10.1016/j.jqsrt.2017.01.002
• Languages: English
• ISSNs: 0022-4073

Abstract

Abstract: The recently proposed ℓ-distribution/ICE (Iterative Copula Evaluation) method of gas radiation suffers from symmetry issues when applied in highly non-isothermal and non-homogeneous gaseous media. This problem is studied in a detailed theoretical way. The objective of the present paper is: 1/to provide a mathematical analysis of this problem of symmetry and, 2/to suggest a decisive factor, defined in terms of the ratio between the narrow band Planck and Rosseland mean absorption coefficients, to handle this issue. Comparisons of model predictions with reference LBL calculations show that the proposed criterion improves the accuracy of the intuitive ICE method for applications in highly non-uniform gases at high temperatures. Highlights: ℓ-distribution/ICE scheme model is considered. It suffers from symmetry issues when applied in highly non-isothermal media. A criterion is proposed to handle the symmetry issue. The criterion is general and theoretically justified. It can be simplified within the ℓ-distribution framework. Its application improves the ℓ-distribution method. It can be applied together with a large number of gas radiation models.