Generalized Energy Condensation Theory
Douglass, Steven James
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A generalization of multigroup energy condensation theory has been developed. The new method generates a solution within the few-group framework which exhibits the energy spectrum characteristic of a many-group transport solution, without the computational time usually associated with such solutions. This is accomplished by expanding the energy dependence of the angular flux in a set of general orthogonal functions. The expansion leads to a set of equations for the angular flux moments in the few-group framework. The 0th moment generates the standard few-group equation while the higher moment equations generate the detailed spectral resolution within the few-group structure. It is shown that by carefully choosing the orthogonal function set (e.g., Legendre polynomials), the higher moment equations are only coupled to the 0th-order equation and not to each other. The decoupling makes the new method highly competitive with the standard few-group method since the computation time associated with determining the higher moments become negligible as a result of the decoupling. The method is verified in several 1-D benchmark problems typical of BWR configurations with mild to high heterogeneity.