Abstract
Lecture 2 contained a brief introduction to the differential form of the Boltzman transport equation which is solved by the discrete ordinates codes. A rather complete description of the derivation of the finite difference form of the transport equation can be found in Reference 1; therefore that derivation will not be discussed here. Attention will be focused on the additional equations required to solve the transport equation which are often referred to as flux models and on the iteration process and efforts to accelerate the convergence of the iteration process. All equations discussed here will be limited to the one-dimensional, time-independent case, but they may be extended in a straightforward manner to multidimensional, time-dependent geometries.
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References
F. R. Mynatt, F. J. Muckenthaler, and P. N. Stevens, “Development of Two-Dimensional Discrete Ordinates Transport Theory for Radiation Shielding,” CTC-INF-952 (1969).
W. H. Reed, “The Effectiveness of Acceleration Techniques for Iterative Methods in Transport Theory,” Nucl. Sci. Eng., 45:245–254 (1971).
W. W. Engle, Jr., “Users Manual for ANISN,” K-1693 (1967).
W. A. Rhoades, D. B. Simpson, R. L. Childs, and W. W. Engle, Jr., ”The DOT IV Two-Dimensional Discrete Ordinates Transport Code with Space-Dependent Mesh and Quadrature,” ORNL/TM-6529 (August 1978).
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© 1980 Plenum Press, New York
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Engle, W.W. (1980). The Methods and Applications of Discrete Ordinates in Low Energy Neutron-Photon Transport (ANISN, DOT). Part I: Methods. In: Nelson, W.R., Jenkins, T.M. (eds) Computer Techniques in Radiation Transport and Dosimetry. Ettore Majorana International Science Series, vol 3. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-3608-2_3
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DOI: https://doi.org/10.1007/978-1-4684-3608-2_3
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4684-3610-5
Online ISBN: 978-1-4684-3608-2
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