Subcell balance methods for radiative transfer on arbitrary grids

Transport Theory and Statistical Physics

Volumn 26, Issue 4-5, 1997, Pages 385-431

  Adams, Marvin L ^a  

^a TEXAS A AND M UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031316714     PISSN: 00411450     EISSN: None     Source Type: Journal    
DOI: 10.1080/00411459708017924     Document Type: Article

References (20)

1. E.W. Larsen, G.C. Pomraning, V.C. Badham, "Asymptotic Analysis of Radiative Transfer Problems," JQSRT 29, p. 285 (1983).
2. E.W. Larsen, J.E. Morel, and W.F. Miller, Jr., "Asymptotic Solutions of Numerical Transport Problems in Optically Thick, Diffusive Regimes," J. Comput. Physics 69, p. 283 (1987).
3. E.W. Larsen and J.E. Morel, "Asymptotic Solutions of Numerical Transport Problems in Optically Thick, Diffusive Regimes II," J. Comput. Physics 83, p. 212 (1989). See also "Corrigendum," J. Comput. Physics 91, p. 246 (1990).
4. E.W. Larsen and J.E. Morel, "Asymptotic Solutions of Numerical Transport Problems in Optically Thick, Diffusive Regimes II," J. Comput. Physics 83, p. 212 (1989). See also "Corrigendum," J. Comput. Physics 91, p. 246 (1990).
5. M.L. Adams, "Even-Parity Finite-Element Transport Methods in the Diffusion Limit," Progress in Nuclear Energy 25, No. 2-3, 159-198 (1991).
6. M.L. Adams, "Discontinuous Finite-Element Transport Solutions in the Thick Diffusion Limit in Cartesian Geometry," Proc. International Topical Mtg. on Advances in Mathematics, Computations, and Reactor Physics, vol. 5, p. 21.1 3-1 (1991).
7. E.W. Larsen, "The Asymptotic Diffusion Limit of Discretized Transport Problems," Nucl. Sci. Eng. 112, 336 (1992).
8. N Radiative Transfer Calculations," J. Comput. Physics 128, No. 2, pp. 445-462 (1996).
9. M.L. Adams and P.F. Nowak, "Asymptotic Analysis of Continuous and Discrete Radiative Transfer Problems," in preparation. See also M.L. Adams, E.W. Larsen, and P.F. Nowak, "The Asymptotic Diffusion Limit of Continuous and Discrete Steady-State Multigroup Radiative Transfer Problems," Proc. Int. Conf. Advances in Mathematics and Computation, Reactor Physics, and Environmental Analysis, Portland, OR, April 30-May 4, Vol. 1, p. 360 (1995).
10. M.L. Adams and P.F. Nowak, "Asymptotic Analysis of Continuous and Discrete Radiative Transfer Problems," in preparation. See also M.L. Adams, E.W. Larsen, and P.F. Nowak, "The Asymptotic Diffusion Limit of Continuous and Discrete Steady-State Multigroup Radiative Transfer Problems," Proc. Int. Conf. Advances in Mathematics and Computation, Reactor Physics, and Environmental Analysis, Portland, OR, April 30-May 4, Vol. 1, p. 360 (1995).
11. M.L. Adams, T.A. Wareing, and W.F. Walters, "Characteristic Methods in Thick Diffusive Problems," Nucl. Sci. Eng., submitted (1997).
12. G.C. Pomraning, The Equations of Radiation Hydrodynamics, Pergamon Press, Oxford (1973).
13. F. Malgavi and G.C. Pomraning, "Initial and Boundary Conditions for Diffusive Linear Transport Problems," J. Math. Physics 32, 805 (1990).
14. S. Chandrasekhar, Radiative Transfer, Dover, New York (1960).
15. N Equations," Nucl. Sci. Eng 105, p. 1 (1990).
16. C. Börgers, E.W. Larsen, and M.L. Adams, "The Asymptotic Diffusion Limit of a Linear Discontinuous Discretization of a Two-Dimensional Linear Transport Equation," J. Comput. Physics 98, p. 285 (1992).
17. N Equations in Slab and XY geometries," Proc. International Topical Mtg. on Advances in Mathematics, Computations, and Reactor Physics, Vol 3, section 11.1, p. 2-1 (1991).
18. T.L. Eaton and M.L. Adams, "A New Corner-Balance/Linear-Discontinuous Method for Transport in Slab Geometry," Trans. Am. Nucl. Soc. 70, p. 158-159 (1994).
19. K. Thompson, private communication (1995).
20. G.L. Ramoné, M.L. Adams, and P.F. Nowak, "A Transport-Synthetic Acceleration Method for Transport Iterations," Nucl. Sci. Eng., 125 pp. 257-283 (1997).