A new procedure for integrating the point kinetic equations for fission reactors
| Autor: | S.E. Corno, I. Cravero, M.L. Buzano |
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| Rok vydání: | 1995 |
| Předmět: |
Differential equations
Differential equation Mathematical analysis Reactor kinetics Finite difference Order of accuracy Eigenfunction Finite element method Numerical integration Computational Mathematics Computational Theory and Mathematics Modelling and Simulation Modeling and Simulation Applied mathematics Successive parabolic interpolation Mathematics Numerical partial differential equations |
| Zdroj: | Computers & Mathematics with Applications. 29:5-19 |
| ISSN: | 0898-1221 |
| DOI: | 10.1016/0898-1221(94)00245-g |
| Popis: | This work deals with a new technique for the numerical integration of the system of differential equations that constitutes the so-called “point reactor kinetics model” in the physics of fission reactors. The technique is based on an exact analytic integration of the reactor power equation, associated to an iterative procedure, that allows the estimate of the best parabolic interpolation of the precursor concentrations, consistently with the requirement of making the whole set of differential equations simultaneously satisfied. This very unusual approach can allow time steps as large as several tens of seconds, provided that the reactivity curve, inside each one of them, can be best fitted linearly to an acceptable accuracy. This technique could be used not only in real time power reactor forecasting, in order to prevent reactivity accidents, but also for carrying out highly accurate calculations of the space dependent power transients, whenever a space eigenfunctions expansion of the neutron distribution can be easily performed. This could provide benchmark references to some finite difference or finite elements numerical codes to be adopted in reactor safety assessments. |
| Databáze: | OpenAIRE |
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