Adjoint-Weighted Tallies fork-Eigenvalue Calculations with Continuous-Energy Monte Carlo

2011 ◽  
Vol 168 (3) ◽  
pp. 226-241 ◽  
Author(s):  
Brian C. Kiedrowski ◽  
Forrest B. Brown ◽  
Paul P. H. Wilson
Keyword(s):  
Monte Carlo ◽  
Continuous Energy

scholarly journals Comparison of Direct and Adjoint k and α-Eigenfunctions

2021 ◽  
Vol 2 (2) ◽  
pp. 132-151
Author(s):  
Vito Vitali ◽  
Florent Chevallier ◽  
Alexis Jinaphanh ◽  
Andrea Zoia ◽  
Patrick Blaise
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Methods ◽  
Energy Transport ◽  
Distinct Point ◽  
Point Of View ◽  
Critical Systems ◽  
Small Deviations ◽  
Power Iteration ◽  
Continuous Energy ◽  
Fission Probability

Modal expansions based on k-eigenvalues and α-eigenvalues are commonly used in order to investigate the reactor behaviour, each with a distinct point of view: the former is related to fission generations, whereas the latter is related to time. Well-known Monte Carlo methods exist to compute the direct k or α fundamental eigenmodes, based on variants of the power iteration. The possibility of computing adjoint eigenfunctions in continuous-energy transport has been recently implemented and tested in the development version of TRIPOLI-4®, using a modified version of the Iterated Fission Probability (IFP) method for the adjoint α calculation. In this work we present a preliminary comparison of direct and adjoint k and α eigenmodes by Monte Carlo methods, for small deviations from criticality. When the reactor is exactly critical, i.e., for k0 = 1 or equivalently α0 = 0, the fundamental modes of both eigenfunction bases coincide, as expected on physical grounds. However, for non-critical systems the fundamental k and α eigenmodes show significant discrepancies.

Continuous-energy Monte Carlo neutron transport on GPUs in the Shift code

2019 ◽  
Vol 128 ◽  
pp. 236-247 ◽  
Author(s):  
Steven P. Hamilton ◽  
Thomas M. Evans
Keyword(s):  
Monte Carlo ◽  
Neutron Transport ◽  
Continuous Energy

scholarly journals Performance and accuracy of criticality calculations performed using WARP – A framework for continuous energy Monte Carlo neutron transport in general 3D geometries on GPUs

2017 ◽  
Vol 103 ◽  
pp. 334-349 ◽  
Author(s):  
Ryan M. Bergmann ◽  
Kelly L. Rowland ◽  
Nikola Radnović ◽  
Rachel N. Slaybaugh ◽  
Jasmina L. Vujić
Keyword(s):  
Monte Carlo ◽  
Neutron Transport ◽  
Continuous Energy

scholarly journals A hybrid continuous energy and multi-group Monte Carlo method

2020 ◽  
Vol 140 ◽  
pp. 107277
Author(s):  
Mikolaj Adam Kowalski ◽  
Eugene Shwageraus
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Continuous Energy

A collision history-based approach to sensitivity/perturbation calculations in the continuous energy Monte Carlo code SERPENT

2015 ◽  
Vol 85 ◽  
pp. 245-258 ◽  
Author(s):  
Manuele Aufiero ◽  
Adrien Bidaud ◽  
Mathieu Hursin ◽  
Jaakko Leppänen ◽  
Giuseppe Palmiotti ◽  
...  
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Code ◽  
Continuous Energy
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