Spherical quadratures for the discrete ordinates method

Transactions of the American Nuclear Society

Volumn 96, Issue , 2007, Pages 475-476

  Rabiti, C ^a   Wolters, E ^b   Smith, M A ^a   Palmiotti, G ^a  

^a ARGONNE NATIONAL LABORATORY   (United States)

^b UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 55849123335     PISSN: 0003018X     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (7)

1. Bengt G. Carlson, "Transport Theory: Discrete Ordinates Quadrature Over the Unit Sphere," LA-4554, Los Alamos Scientific Laboratory (April, 1971).
2. n Over the Unit Sphere," LA-4734, Los Alamos Scientific Laboratory (April, 1971).
3. V. I. Lebedev, and D.N. Laikov, "A Quadrature Formula for the Sphere of the 131st Algebraic Order of Accuracy," Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481.
4. Max Tegmark, "An Icosahedron-Based Method for Pixelizing the Celestial Sphere," ApJ Letters, 470, L81-L84(1996).
5. Y. Y. Azmy, "The Weighted Diamond-Difference Form of Nodal Transport Methods," Nucl. Sci. Eng., 98, 29 (1988).
6. K. Kobayashi, "A Proposal for 3D Radiation Transport Benchmarks for Simple Geometries with Void Region. 3-D Deterministic Radiation Transport Computer Programs," OECD/NEA Proceedings, pp. 403-410,1997.
7. G. Palmiotti, M. Smith, C. Rabiti, D. Kaushik, A. Siegel, B. Smith, and E. E. Lewis, "UNÌC: Ultimate Neutronic Investigation Code" to be presented at the Joint International Topical Meeting on Mathematics & Computation and Supercomputing in Nuclear Applications (M&C + SNA 2007) Monterey, California, April 15-19,2007,