Uncertainty propagation from n+56Fe nuclear reaction model parameters to neutron multiplication factor

2021 ◽  
Vol 163 ◽  
pp. 108553
Author(s):  
Shengli Chen ◽  
Elias Vandermeersch ◽  
Pierre Tamagno ◽  
David Bernard ◽  
Gilles Noguere ◽  
...  
Keyword(s):  
Nuclear Reaction ◽  
Uncertainty Propagation ◽  
Reaction Model ◽  
Model Parameters ◽  
Multiplication Factor ◽  
Neutron Multiplication

scholarly journals Uncertainty evaluation of nuclear reaction model parameters using integral and microscopic measurements. Covariances evaluation with CONRAD code

2010 ◽  
Vol 8 ◽  
pp. 04002 ◽  
Author(s):  
C. De Saint Jean ◽  
B. Habert ◽  
P. Archier ◽  
G. Noguere ◽  
D. Bernard ◽  
...  
Keyword(s):  
Nuclear Reaction ◽  
Reaction Model ◽  
Uncertainty Evaluation ◽  
Model Parameters

Uncertainty Evaluation of Nuclear Reaction Model Parameters using Integral and Microscopic Measurements with the CONRAD Code

2011 ◽  
Vol 59 (2(3)) ◽  
pp. 1276-1279 ◽  
Author(s):  
C. De Saint Jean ◽  
B. Habert ◽  
P. Archier ◽  
G. Noguere ◽  
D. Bernard ◽  
...  
Keyword(s):  
Nuclear Reaction ◽  
Reaction Model ◽  
Uncertainty Evaluation ◽  
Model Parameters

Method for Decision of Nuclear Reaction Model Parameters

1983 ◽  
Vol 20 (9) ◽  
pp. 787-789 ◽  
Author(s):  
Yuji UENOHARA ◽  
Mitsuhaya TSUKAMOTO ◽  
Yukinori KANDA
Keyword(s):  
Nuclear Reaction ◽  
Reaction Model ◽  
Model Parameters

Sensitivity of the neutron multiplication factor to water ingress into a spent fuel cask

Kerntechnik ◽  
2020 ◽  
Vol 85 (1) ◽  
pp. 38-53
Author(s):  
M. J. Leotlela ◽  
I. Petr ◽  
A. Mathye
Keyword(s):  
Multiplication Factor ◽  
Spent Fuel ◽  
Water Ingress ◽  
Neutron Multiplication

Critical conditions in neutron multiplication

1939 ◽  
Vol 35 (4) ◽  
pp. 610-615 ◽  
Author(s):  
R. Peierls
Keyword(s):  
Nuclear Reaction ◽  
Critical Conditions ◽  
Single Neutron ◽  
Neutron Multiplication ◽  
Secondary Neutrons ◽  
Reaction Chain

It is well known that a single neutron may cause a nuclear reaction chain of considerable magnitude, if it moves in a medium in which the number of secondary neutrons which are produced by neutron impact is, on the average, greater than the number of absorbed neutrons. From recent experiments it would appear that this condition might be satisfied in the case of uranium.

System Uncertainty Propagation Using Automatic Differentiation

2015 ◽  
Author(s):  
Ahmad Bani Younes ◽  
James Turner
Keyword(s):  
Distribution Function ◽  
Probability Distribution ◽  
Probability Distribution Function ◽  
Automatic Differentiation ◽  
Uncertainty Propagation ◽  
Planck Equation ◽  
System Response ◽  
Model Parameters ◽  
Inverse Mapping ◽  
Uncertainty Models

In general, the behavior of science and engineering is predicted based on nonlinear math models. Imprecise knowledge of the model parameters alters the system response from the assumed nominal model data. We propose an algorithm for generating insights into the range of variability that can be the expected due to model uncertainty. An Automatic differentiation tool builds exact partial derivative models to develop State Transition Tensor Series-based (STTS) solution for mapping initial uncertainty models into instantaneous uncertainty models. Development of nonlinear transformations for mapping an initial probability distribution function into a current probability distribution function for computing fully nonlinear statistical system properties. This also demands the inverse mapping of the series. The resulting nonlinear probability distribution function (pdf) represents a Liouiville approximation for the stochastic Fokker Planck equation. Numerical examples are presented that demonstrate the effectiveness of the proposed methodology.

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