Split-cell discrete ordinates transport on an unstructured grid of triangular cells

Transport Theory and Statistical Physics

Volumn 25, Issue 7, 1996, Pages 833-867

  Miller, D J ^a   Mathews, K A ^a   Brennan, C R ^a  

^a Air Force Institute of Technology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030355325     PISSN: 00411450     EISSN: None     Source Type: Journal    
DOI: 10.1080/00411459608203551     Document Type: Article

References (18)

1. G. Carlson and K. D. Lathrop, "Transport Theory - The Method of Discrete Ordinates", in Computing Methods in Reactor Physics, H. Greenspan, C. N. Kelber, and D. Okrent (eds.), Gordon and Breach, New York, 1968.
2. K. D. Lathrop, "Spatial Differencing of the Transport Equation: Positivity vs Accuracy", J. Comp. Phys. 4, 475 (1969).
3. E. W. Larsen and R. E. Alcouffe, "The Linear Characteristic Method for Spatially Discretizing the Discrete-Ordinates Equations in x,y Geometry", Proc. Topl. Mtg. Advances in Mathematical Methods for the Solution of Engineering Problems, Munich, FRG, April 27-29, 1981, American Nuclear Society, 1, 99, (1981).
4. E. E. Lewis and W. F. Miller, Jr., Computational Methods of Neutron Transport, John Wiley & Sons, New York, 1984.
5. W. H. Reed and T. R. Hill, "Triangular Mesh Methods for the Neutron Transport Equation", Proc. Conf. Mathematical Models and Computational Techniques for the Analysis of Nuclear Systems, Ann Arbor, MI, April 9-11, 1973, CONF-730414, U. S. Atomic Energy Commission (1974).
6. T. J. Seed, W. F. Miller, Jr., and D. J. Dudziak, "TRIDENT: A Two-Dimensional Multigroup Triangular Mesh Discrete Ordinates Explicit Neutron Transport Code", LA-6735-M, Los Alamos Scientific Laboratory (1977).
7. M. Mordant, "Some Efficient Lagrangian Mesh Finite Elements Encoded in ZEPHYR for Two-Dimensional Transport Calculations", Ann. Nucl. Energy 8, 657 (1981).
8. N - Method for Solving the Transport Equation," Transport Theory and Stat. Phys., 22, 221 (1993).
9. K. D. Lathrop, "Spatial Differencing of the Transport Equation: Positivity vs. Accuracy", J. Comput. Phys., 4, 475-498 (1969).
10. I. K. Abu-Shumays, "Compatible Product Angular Quadrature for Neutron Transport in X-Y Geometry", Nucl. Sci. Eng. 64, 299 (1977).
11. K. D. Lathrop, "Remedies for Ray Effects", Nucl. Sci. Eng. 45, 255 (1971).
12. K. A. Mathews and C. R. Brennan, "Exponential Characteristic Spatial Quadrature for Discrete Ordinates Radiation Transport on an Unstructured Grid of Triangular Cells", Proc. Topl. Mtg. International Conference on Mathematics and Computations, Reactor Physics, and Environmental Analyses, Portland, OR, April 30-May 4, 1995, American Nuclear Society.
13. W. F. Walters, "The Relation Between Finite Element Methods and Nodal Methods in Transport Theory", Progress in Nuclear Energy 18, 21 (1986).
14. B. M. Minor, "Exponential Characteristic Spatial Quadrature for Discrete Ordinates Neutral Particle Transport in Two-Dimensional Cartesian Coordinates", Ph.D. Dissertation, Air Force Institute of Technology, AFIT/DS/ENP/93-7 (1993).
15. K. A. Mathews, B. M. Minor and C. R. Brennan, "Exponential Moments Functions - Applications and Numerical Evaluation", accepted for American Nuclear Society 1995 Annual Meeting, June 25-29, 1995, Philadelphia, PA.
16. D. J. Miller, "Linear Characteristic Spatial Quadrature for Discrete Ordinates Neutral Particle Transport on Arbitrary Triangles", Ph.D. Dissertation, Air Force Institute of Technology, AFIT/DS/ENP/93-2 (1993)
17. R. E. Grove and R. E. Pevey, "A Characteristic Based Multiple Balance Approach for SN on Arbitrary Polygonal Meshes," Proc. Topl. Mtg. International Conference on Mathematics and Computations, Reactor Physics, and Environmental Analyses, Portland, OR, April 30-May 4, 1995, American Nuclear Society, 2, 928 (1995).
18. M. D. DeHart, R. E. Pevey, and T. A Parish, "An Extended Step Characteristic Method for Solving the Transport Equation in General Geometries," Nucl. Sci. Eng., 118, 79 (1994).