The ℓ-distribution method for modeling non-gray absorption in uniform and non-uniform gaseous media. (August 2016) - André, Frédéric
Abstract: The ℓ -distribution modeling is proposed for radiative heat transfer in uniform and non-uniform non-gray gaseous media. The method is partly based on the application of results from the k -moment method. It combines this technique with several concepts from probability theory: the notion of rank transmutation maps allows extending the k -moment method to an infinite number of k -moments; copula models appear naturally to extend the method from uniform to non-uniform gas paths. The ℓ -distribution approach is shown to provide results: (1) more accurate – up to three orders of magnitude – than usual k -distribution approaches in uniform media, (2) as precise as correlated- k models in non-uniform situations. All these results are obtained at a computational cost lower than k -distribution models. Differences and similarities between k - and ℓ -distribution methods are discussed. Abstract : Highlights: The ℓ -distribution modeling is introduced. It achieves LBL accuracy in uniform media. It is as accurate as usual C- k models in non-uniform media. Its computational cost is lower than k -distributions.