Development of the point kinetics solver, Pointkinetics in the next generation reactor analysis code system, MARBLE

Fukaya, Yuji   

The next generation reactor analysis code system, MARBLE version 1.0 had been developed to solve the static neutronic characteristics of reactors including burnup calculation. To solve transient problem in the MARBLE, neutronic kinetics module should be implemented. The neutronic kinetics composes space kinetics and point kinetics. Therefore, the objective of this development is to implement the point kinetics. First, theoretical categorization of the methods to solve kinetic problem was performed. Second, implementation and evaluation of the error for these methods was performed. As a result, it is found that the method using matrix exponential is preferable to apply for the point kinetics calculation due to the high reliability. Furthermore, the calculation time is not significant now. However, the knowledge obtained by the theoretical categorization or the error evaluation profits for the future development of space kinetics in the MARBLE.