Abstract
In the present contribution the equation of radiative-conductive transfer in a plane parallel heterogeneous medium is solved without linearization or a reduction to a diffusion equation. The approach used in this study maintains the nonlinearity that represents the crucial ingredient in the problem. The solution of the discretized problem in the angular variable can be given in closed analytical form, which permits to calculate numerical results in principle to any desired accuracy. Moreover, the influence of the nonlinearity can be analyzed in an analytical fashion directly from the formal solution.
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de Camargo, D. Q., Bodmann, B. E. J., Vilhena, M. T., & Segatto, C. F. (2013). Analytical study of computational radiative fluxes in a heterogeneous medium. In Integral Methods in Science and Engineering: Progress in Numerical and Analytic Techniques (pp. 91–104). Springer New York. https://doi.org/10.1007/978-1-4614-7828-7_7
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