Energy models for computing fast reactor parameters Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/5138jh528

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  • Because of the complicated form of the diffusion equation, approximations are necessary to treat the energy dependence for practical problems. The standard model is the few group approximation. A second approximate form, the overlapping group or modal method, is examined and more fully developed in this work to provide an alternative to this approach. The formalism developed is direct and straightforward. A computer code is presented to generate input that will enable the user to run a modal problem on any standard diffusion theory code that allows upscattering. Two fast reactor designs are studied. The results of one and two dimensional calculations using both energy models are presented. A comparison of the accuracy and the computer time requirements of each method is made. Numerical problems associated with the modal method are thoroughly studied. Results indicate that the two models are comparable. Improvements in the modal method are suggested and indications are that with further development, it may offer an attractive alternative to the few group approach.
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