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Spatial differencing of the transport equation: Positivity vs. accuracy. (English) Zbl 0199.50703


Software:

DTF-IV; TWOTRAN
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Full Text: DOI

References:

[1] Engle, W. W., (“A Users Manual for ANISN,” USAEC Report K-1693 (March 1967), Union Carbide Corporation)
[2] Lathrop, K. D., DTF-IV, A FORTRAN-IV Program for Solving the Multigroup Transport Equation with Anisotropic Scattering, (USAEC Report LA-3373 (November 1965), Los Alamos Scientific Laboratory)
[3] Lathrop, K. D., Spatial Differencing of the Two-Dimensional Transport Equation, (Report GA-8746 (July 1968), Gulf General Atomic) · Zbl 0199.50703
[4] Lathrop, K. D., New Spatial Difference Equations for Two-Dimensional Transport, Trans. Am. NucL Soc., 11, 531 (1968)
[5] Wendroff, B., A Difference Scheme for Radiative Transfer, J. Comput. Physics., 2, 211 (1969) · Zbl 0216.23601
[6] Carlson, B. G.; Lathrop, K. D., Transport theory-The method of discrete ordinates, (Computing Methods in Reactor Physics (1968), Gordon and Breach: Gordon and Breach New York), Chap. 3
[7] Carlson, B. G., Transport Theory: Formulations and Solutions by Finite Difference Methods, (Report LA-4016 (September 1968), Los Alamos Scientific Laboratory)
[8] B. G. Carlson; B. G. Carlson
[9] Gelbard, E. M.; Davis, J. A.; Hageman, L. A., Solution of the Discrete Ordinate Equation in One and Two Dimensions, (USAEC Report WAPD-T-2028 (July 1967), Bettis Atomic Power Laboratory)
[10] Carlson, B. G., Numerical formulation and solution of neutron transport problems, (Proceedings IBM Scientific Computing Symposium Large-Scale Problems in Physics (1965), IBM: IBM New York)
[11] Carlson, B. G.; Lathrop, K. D., Numerical formulation and solution of neutron transport problems, (Proceedings IBM Scientific Computing Symposium Large-Scale Problems in Physics (1965), IBM: IBM New York)
[12] Lathrop, K. D.; Carlson, B. G., J. Comput. Phys., 2, 173 (1966) · Zbl 0171.13902
[13] Lathrop, K. D., TWOTRAN, A FORTRAN Program for Two Dimensional Transport, (Report GA-8747, Gulf General Atomic (July 1968)) · Zbl 0199.50703
[14] Lax, P. D., Commun. Pure Appl Math., 14, 497 (1961) · Zbl 0102.11701
[15] Kaplan, S., Nucl. Sci. Eng., 34, 76 (1968)
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