Evaluation of Method of Lines Solution of Discrete Ordinates Method and Finite Volume Method in a Planar Medium

2009-04-01
Selçuk, N
Külah, Görkem
Tarhan, T
Predictive accuracy of the method-of-lines (MOL) solution of discrete ordinates method (DOM) for transient problems was examined by applying it to a 1D test problem and comparing its steady state solution with the analytical solution of DOM reported previously. Results were found to be in good agreement. Predictions of the MOL solution of DOM were then compared with those obtained by applying the finite volume method (FVM) to the same test problem. The results of both methods were benchmarked against the exact solution of radiative transfer equation (RTE) on the same test problem. For the same number of spatial and angular subdivisions employed in both methods, the MOL solution of DOM was found to be superior to the FVM particularly in optically thin media.
Citation Formats
N. Selçuk, G. Külah, and T. Tarhan, “Evaluation of Method of Lines Solution of Discrete Ordinates Method and Finite Volume Method in a Planar Medium,” presented at the Int. Conf. Computational Heat and Mass Transfer, (26 - 29 Nisan 1999), Gazi Magusa, KKTC, 2009, Accessed: 00, 2021. [Online]. Available: 0.