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An alternative stochastic formulation for the point reactor
Ayyoubzadeh, S. M ; Sharif University of Technology
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- Type of Document: Article
- DOI: 10.1016/j.anucene.2013.09.013
- Abstract:
- The stochastic behavior of a point reactor is modeled with a system of Ito stochastic differential equations. This new approach does not require computing the square root of a matrix which is a great computational advantage. Moreover, the derivation procedure clearly demonstrates the mathematical approximations involved in the final formulation. Three numerical benchmarks show the accuracy of this model in predicting the mean and variance of the neutron and precursor population in a point reactor
- Keywords:
- Neutron density variance ; Precursor concentration variance ; Stochastic differential equation ; Computational advantages ; Ito stochastic differential equations ; Neutron density ; Point kinetics ; Precursor concentration ; Stochastic behavior ; Stochastic formulation ; Differential equations ; Population statistics ; Stochastic systems
- Source: Annals of Nuclear Energy ; Vol. 63, issue , 2014 , pp. 691-695 ; ISSN: 03064549
- URL: http://www.sciencedirect.com/science/article/pii/S0306454913004830