An improved scheme for calculation of the radiation transport in greatly heterogeneous media and voids
Matematičeskoe modelirovanie, Tome 9 (1997) no. 10, pp. 63-72.

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A new method of weights choice in the known weighted WDD scheme of the discrete ordinate method for the radiation transport equation in cylindrical $(r,z)$ geometry is proposed. In each cell of spatial grid for each node of angular quadrature weights are chosen so that angular distribution, obtained by balance WDD scheme, would be in a good quantitative and qualitative agreement with solution, obtained by nonconservative characteristics scheme. The method may be extended to other geometries.
@article{MM_1997_9_10_a34,
     author = {L. P. Bass and O. V. Nikolaeva},
     title = {An improved scheme for calculation of the radiation transport in greatly heterogeneous media and voids},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {63--72},
     publisher = {mathdoc},
     volume = {9},
     number = {10},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1997_9_10_a34/}
}
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L. P. Bass; O. V. Nikolaeva. An improved scheme for calculation of the radiation transport in greatly heterogeneous media and voids. Matematičeskoe modelirovanie, Tome 9 (1997) no. 10, pp. 63-72. http://geodesic.mathdoc.fr/item/MM_1997_9_10_a34/