Numerical evaluation of the three-dimensional searchlight problem in a half-space

Nuclear Science and Engineering

Volumn 127, Issue 3, 1997, Pages 317-337

  Kornreich, D E ^a   Ganapol, B D ^b  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

^b University of Arizona   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001466608     PISSN: 00295639     EISSN: None     Source Type: Journal    
DOI: 10.13182/NSE97-A1938     Document Type: Review

References (18)

1. S. CHANDRASEKHAR, "On the Diffuse Reflection of a Pencil of Radiation by a Plane-Parallel Atmosphere," Proc. Natl. Acad. Sci. U.S.A., 44, 933 (1958).
2. M. M. R. WILLIAMS, "The Three-Dimensional Transport Equation with Applications to Energy Deposition and Reflection," J. Phys. A. Math. Gen., 15, 965 (1982).
3. G. B. RYBICKI, "The Searchlight Problem with Isotropic Scattering," J. Quant. Spectrosc. Radiat. Transfer, 11, 827 (1971).
4. C. E. SIEWERT and W. L. DUNN, "Radiation Transport in Plane-Parallel Media with Non-Uniform Surface Illumination," J. Appl. Math. Phys., 34, 627 (1983).
5. C. E. SIEWERT, "On the Singular Components of the Solution to the Searchlight Problem in Radiative Transfer," J. Quant. Spectrosc. Radiat. Transfer, 33, 551 (1985).
6. C. E. SIEWERT and W. L. DUNN, "The Searchlight Problem in Radiative Transfer," J. Quant. Spectrosc. Radiat. Transfer, 41, 467 (1989).
7. J. P. ELLIOTT, "Milne's Problem with a Point-Source," Proc. R. Soc., Ser. A, 228, 424 (1955).
8. B. D. GANAPOL and D. W. NIGG, "Analytical Two-Dimensional Neutron Transport Benchmark: The Searchlight Problem," Trans. Am. Nucl. Soc., 64, 276 (1991).
9. B. D. GANAPOL, D. E. KORNREICH, J. A. DAHL, D. W. NIGG, S. N. JAHSHAN, and C. A. WEMPLE, "The Searchlight Problem for Neutrons in a Semi-Infinite Medium," Nucl. Sci. Eng., 118, 38 (1994).
10. J. F. BRIESMEISTER, "MCNP - A General Monte Carlo N-Particle Transport Code," LA-12625-M, Los Alamos National Laboratory (1993).
11. R. E. ALCOUFFE, R. S. BAKER, F. W. BRINKLEY, D. R. MARR, R. D. O'DELL, and W. F. WALTERS, "DANTSYS: A Diffusion Accelerated Neutral Particle Transport Code System," LA-12969-M, Los Alamos National Laboratory (1995).
12. B. D. GANAPOL, The Analytical Benchmark Library for Nuclear Engineering: PC Version (in press).
13. I. W. BUSBRIDGE, The Mathematics of Radiative Transfer, Cambridge University Press, Cambridge, United Kingdom (1960).
14. S. CHANDRASEKHAR, Radiative Transfer, Dover Publications, New York (1960).
15. B. D. GANAPOL, Proceedings: Transport Theory, Invariant Imbedding, and Integral Equations, Marcel Dekker, New York (1989).
16. D. E. KORNREICH, "Multi-Dimensional Analytical Benchmarks for Neutral Particle Transport," PhD Dissertation, University of Arizona (1995).
17. W. H. PRESS et al., Numerical Recipes in FORTRAN, 2nd ed., Cambridge University Press, Cambridge, United Kingdom (1992).
18. D. E. KORNREICH and B. D. GANAPOL, "Two-Dimensional One-Group Neutron Transport in Transverse Cylindrical Coordinates," Proc. Int. Conf. Mathematics and Computations, Reactor Physics, and Environmental Analysis, Portland, Oregon, April 30-May 4, 1995, Vol. 2, p. 1223, American Nuclear Society (1995).