Homogenization methodology for the low-order equations of the quasidiffusion method

Proceedings of the PHYSOR 2002 - International Conference on the New Frontiers of Nuclear Technology : Reactor Physics, Safety and High-Performance Computing - The ANS 2002 RPD Topical Meeting

Volumn , Issue , 2002, Pages

  Anistratov, Dmitriy Y ^a  

^a North Carolina State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATION THEORY; EIGENVALUES AND EIGENFUNCTIONS; MESH GENERATION; NUMERICAL METHODS; REACTION RATES; SURFACE REACTIONS;

COARSE-MESH DISCRETIZATION; DISCONTINUITY FACTOR; FINE MESH DISCRETIZATION; HOMOGENIZATION PROCEDURE; NUMERICAL SOLUTION; QUASI-DIFFUSION METHODS; QUASIDIFFUSION EQUATIONS; TRANSPORT SOLUTION;

HOMOGENIZATION METHOD;

EID: 85104048455     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (10)

1. V.Ya. Gol'din, “A Quasidiffusion Method for Solving the Kinetic Equation,” USSR Comp. Math. and Math. Phys. 4, 136-149 (1964).
2. N. N. Aksenov and V. Ya. Gol'din, “Computation of the Two-Dimensional Stationary Equation of Neutron Transfer by the Quasi-Diffusion Method,” USSR Comp. Math. and Math. Phys., 19, No. 5, 263-266 (1979).
3. V. Ya. Gol'din, “On Mathematical Modeling of Problems of Non-Equilibrium Transfer in Physical Systems,” in Modern Problems of Mathematical Physics and Computational Mathematics, Nauka, Moscow, 113-127 (1982) (in Russian).
4. D. Y. Anistratov and V. Ya. Gol'din, “Solving the Multigroup Transport Equation by the Quasidiffusion Method,” Preprint of the Keldysh Institute for Applied Mathematics, the USSR Academy of Sciences, No. 128 (1986) (in Russian).
5. E.N.Aristova, V.Ya. Gol'din, and A.V.Kolpakov, “Multidimensional Calculations of Radiation Transport by Nonlinear Quasi-Diffusion Method,” Proceeding of ANS International Conference on Mathematics and Computation, Reactor Physics and Environmental Analysis in Nuclear Applications, Sept. 27-30, 1999, Madrid, Spain, 667-676 (1999).
6. D.Y. Anistratov and M.L. Adams, “Consistent Coarse-Mesh Discretization of the Low-Order Equations of the Quasidiffusion Method,” Trans. Am. Nucl. Soc., 83, 250-251 (2000).
7. K. S. Smith, “Assembly Homogenization Techniques for Light Water Reactor Analysis,” Progress in Nuclear Energy, 17, 303-335 (1986).
8. D.Y. Anistratov and V.Ya. Gol'din, “Nonlinear Methods for Solving Particle Transport Problems,” Transport Theory Statist. Phys. 22 42-77 (1993).
9. K. S. Smith, private communication.
10. K.T. Clarno and M.L. Adams, “Improved Boundary Conditions for Assembly-Level Transport Calculations,” this proceedings (2002).