An exact formulation of k-distribution methods in non-uniform gaseous media and its approximate treatment within the Multi-Spectral framework

Eurotherm Conference 105: Computational Thermal Radiation in Participating Media V

物理学;计算机科学

Andre, Frédéric^1 ; Hou, Longfeng^1 ; Solovjov, Vladimir P.^2

Université de Lyon, CNRS, INSA-Lyon, CETHIL, UMR5008, Villeurbanne

F-69621, France^1

Brigham Young University, Department of Mechanical Engineering, CTB 435, Provo

UT

84602, United States^2

关键词: Approximate treatment;    Computational costs;    Engineering applications;    K distribution;    K-distribution method;    Radiative heat transfer;    Simplifying assumptions;    Spectral correlation;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/676/1/012001/pdf
DOI  :  10.1088/1742-6596/676/1/012001

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

The main restriction of k-distribution approaches for applications in radiative heat transfer in gaseous media arises from the use of a scaling or correlation assumption to treat non-uniform situations. It is shown that those cases can be handled exactly by using a multidimensional k-distribution that addresses the problem of spectral correlations without using any simplifying assumptions. Nevertheless, the approach cannot be suggested for engineering applications due to its computational cost. Accordingly, a more efficient method, based on the so-called Multi-Spectral Framework, is proposed to approximate the previous exact formulation. The model is assessed against reference LBL calculations and shown to outperform usual k-distribution approaches for radiative heat transfer in non-uniform media.