Geodesic
Nodal scheme to the radiation transport equation on unstructured thetrahedral mesh
Matematičeskoe modelirovanie, Tome 27 (2015) no. 5, pp. 80-96.

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The nodal scheme of the discrete ordinate method to the radiation transport equation on unstructured thetrahedral mesh is presented. The scheme is based upon discontinuous linear approximations to the solution. The features of the scheme are discussed. The test results are given.
Keywords: nodal scheme, thetrahedral mesh
Mots-clés : radiation transport equation. 
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O. V. Nikolaeva. Nodal scheme to the radiation transport equation on unstructured thetrahedral mesh. Matematičeskoe modelirovanie, Tome 27 (2015) no. 5, pp. 80-96. http://geodesic.mathdoc.fr/item/MM_2015_27_5_a5/

[1] T. A. Wareing, J. M. McGhee, J. E. Morel, S. D. Pautz, “Discontinuous Finite Element Sn Methods on Three-Dimensional Unstructured Grids”, J. Nucl. Sci. Eng., 138 (2001), 256–2681

[2] R. M. Ferrer, Y. Y. Azmy, “A robust arbitrarily high order transport method of the characteristic type for unstructured tetrahedral grids”, International Conference in Mathematics, Computational Methods Reactor Physics, M 2009 (Saratoga Springs, New York, May 3–7, 2009), American Nuclear Society, LaGrange Park, IL, 2009, on CD-ROM

[3] W. Han, J. Huang, J. Eichholz, “Discrete-ordinate discontinuous Galerkin methods for solving the radiative transfer equation”, Siam J. Sci. Comput., 32 (2010), 477–497 | MR | Zbl

[4] L. P. Bass, O. V. Nikolaeva, “Raduga-6 — programma rascheta statsionarnykh i nestatsionarnykh neitronnykh i gamma polei v 1D, 2D, 3D oblastiakh”, Trudy 7-oi MNTK «Obespechenie bezopasnosti AES s VVER» (OKB «GIDROPRESS», Podolsk, Rossiia, 17–20 maia 2011), CD

[5] K. Kobayashi, N. Sugimura, Y. Nagaya, 3-D Radiation Transport Benchmark Problems and Results for Simple Geometries with Void, Nuclear Energy Agency, 2002

[6] L. P. Bass, A. M. Voloshchenko, T. A. Germogenova, “Metody diskretnykh ordinat v zadachakh o pe-renose izlucheniia”, Preprinty IPM im. M. V. Keldysha, 1985, 231 pp.