On the use of polynomial chaos expansions and generalized moments within the frame of gas radiation in non-uniform media

Frédéric André (1) , Mathieu Galtier (1)

1 CETHIL - Centre d'Energétique et de Thermique de Lyon

In many applications involving gaseous media at high temperature, accurate but computationally efficient models are required for the radiative properties of gases. The aim of the present work is to show how, by combining results from Polynomial Chaos framework and Devyatov's Method of Moments, one can provide simple estimates of the transmission functions of gases both in uniform and non-uniform media. The proposed model only involves polynomials. It is probably one of the simplest in terms of mathematical formulation but also one of the most sophisticated, considering the concepts that it involves. It can be applied in uniform and non-uniform media, where it is shown to be equivalent, in terms of accuracy, to usual C-k models.

Mots clés: gas radiation; polynomial chaos; generalized moments; carbon dioxide; Cutteridge-Devyatov polynomials

Domaines: Sciences de l'ingénieur [physics]; Milieux fluides et réactifs; Thermique [physics.class-ph]

Frédéric André, Mathieu Galtier. On the use of polynomial chaos expansions and generalized moments within the frame of gas radiation in non-uniform media. Journal of Quantitative Spectroscopy and Radiative Transfer, 2015, 164, pp.184-192. ⟨10.1016/j.jqsrt.2015.06.005⟩. ⟨hal-02064943⟩