Generalized source term multiflux method coupled with Runge-Kutta ray tracing technique for arbitrary radiative intensity of graded-index media

2021 ◽  
Vol 103 (6) ◽  
Author(s):  
Linyang Wei ◽  
Hong Qi ◽  
Guojun Li ◽  
Weijun Zhang
2018 ◽  
Vol 22 (Suppl. 2) ◽  
pp. 777-784 ◽  
Author(s):  
Huaqiang Chu ◽  
Fei Ren ◽  
Yan Wei

Non-gray gas radiation analysis and comparison are conducted by combining a ray tracing method and two statistical narrow band (SNB) spectral models, namely the Goody SNB model and the Malkmus SNB model. In this paper, gas radiation in real gas containing H2O, H2O / N2, or H2O / CO2 / N2 mixtures at 1 atm in planar plates was studied. Comparisons between these models are performed using the latest narrow-band database. The present computations are validated by reproduc- ing the published results in the literature. The radiative source term, the wall fluxes, the narrow-band radiation intensities along a line-of-sight and the computing time are all compared. From the comparisons, it is found that the Malkmus SNB model is somewhat superior to the Goody SNB model and the former is preferred in engineering application.


2015 ◽  
Vol 54 (29) ◽  
pp. 8795 ◽  
Author(s):  
Kenji Tsukada ◽  
Eisuke Nihei

1985 ◽  
Vol 63 (2) ◽  
pp. 234-239 ◽  
Author(s):  
Daniel W. Hewak ◽  
John W. Y. Lit

The accuracies of several numerical ray-tracing methods for graded-index optical media are investigated. Tracing is done by numerically solving the ray equation for the classical Luneburg lens. For such an index distribution, an analytic solution exists, with which the numerical methods are compared. Five previously published, numerical ray-tracing algorithms, along with two new methods, based on the multistep predictor and predictor–corrector formulas, are studied, and their relative accuracies are compared by using three criteria. Additional comparison is made by tracing rays through different sections of the lens, giving an indication of their dependence on the position of the ray. We conclude that the point-by-point numerical methods that use physical-path, rather than optical-path, increments are more accurate. It is shown that when the focussing properties of the lens are of chief concern, Sharma's Runge–Kutta method and our new, more efficient, multistep methods have comparable accuracies. When the optical-path length of the ray is important, Montagnino's Taylor-series method and our new predictor method are best.


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