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Author

Lee, Deokjung
Computational Reactor physics & Experiment lab (CORE Lab)
Research Interests
  • Reactor Analysis computer codes development

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Quadratic Depletion Method for Gadolinium Isotopes in CASMO-5

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Title
Quadratic Depletion Method for Gadolinium Isotopes in CASMO-5
Author
Lee, DeokjungRhodes, JoelSmith, Kord
Keywords
Absorption cross sections; Absorption reactions; Calculation time; Depletion calculation; Number density; Predictor corrector; Quadratic function; Shielding effect
Issue Date
201305
Publisher
AMER NUCLEAR SOC
Citation
NUCLEAR SCIENCE AND ENGINEERING, v.174, no.1, pp.79 - 86
Abstract
The huge absorption cross sections of'55Gd and 157Gd cause strong spatial shielding effects in Gd-bearing pins. A high-order depletion method has been developed for CASMO-5 to address the issue of the small depletion steps typically required for Gd-bearing fuel assemblies. In this method, the microscopic absorption reaction rates of gadolinium isotopes are assumed to be quadratic functions of the number density of'55Gd rather than the constant reaction rale assumption in the conventional predictor-corrector (PC) method. This quadratic function assumption models the variations of the spatial shielding effects over the depletion step and therefore improves the accuracy of depletion calculations with a negligible amount of calculation time increase. With this new method, a depletion step size four times larger than the step size used in a conventional PC method can be used for Gd-bearing assemblies without compromising accuracy.
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ISSN
0029-5639
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