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The aim of this study is to present a reduced spectral line-based weighted sum of gray gases (SLW) model to simulate the radiation heat transfer in nongray media at high temperatures. Inverse approach is used to divide the absorption cross section band into a clear gas with one gray gas and two gray gases, which are called the S-1 and S-2 approaches, respectively. The unknown absorption cross sections are determined from the knowledge of measured total incident intensities received by wall surfaces. In order to simulate the exact solution of radiation heat transfer in nongray gaseous media, the discrete transfer method (DTM) in combination with S-20 model is used, where the nongray medium is replaced with a set of a clear gas and 20 gray gases. The inverse problem is formulated as an optimization problem to minimize a least square objective function, which is solved by the conjugate gradient method (CGM). The accuracy of the present method is verified by comparing with previous researches and the S-20 approach with a large number of gray gases. The effects of noisy data on the inverse solution are investigated by considering an extreme case with large measurement error. The results show that the unknown absorption cross sections are retrieved well, even for noisy data.

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This paper presents the optical tomography based on the reconstruction of optical properties in one- and two-dimensional variable index media. A transient discrete transfer method is used to solve the forward problem of transient radiative transfer. A multistart conjugate gradient method is applied to solve the inverse problem, and a straightforward approach is used to obtain the sensitivity coefficients. Different numerical examples are presented to show the efficiency of this method. The results show that the proposed algorithm can effectively estimate the distribution of absorption and scattering coefficients, even with noisy measured data.