scholarly journals Fractional-order modeling of neutron transport in a nuclear reactor

2013 ◽  
Vol 37 (23) ◽  
pp. 9747-9767 ◽  
Author(s):  
Vishwesh A. Vyawahare ◽  
P.S.V. Nataraj
Keyword(s):  
Fractional Order ◽  
Nuclear Reactor ◽  
Neutron Transport

Nuclear reactor with subdiffusive neutron transport: development of linear fractional-order models

2016 ◽  
Vol 5 (4) ◽  
pp. 1182-1200 ◽  
Author(s):  
Vishwesh A. Vyawahare ◽  
P. S. V. Nataraj ◽  
G. Espinosa-Paredes ◽  
R.-I. Cázares-Ramírez
Keyword(s):  
Fractional Order ◽  
Nuclear Reactor ◽  
Neutron Transport

scholarly journals Numerical Approximation for Fractional Neutron Transport Equation

2021 ◽  
Vol 2021 ◽  
pp. 1-14
Author(s):  
Zhengang Zhao ◽  
Yunying Zheng
Keyword(s):  
Transport Equation ◽  
Nuclear Reactor ◽  
Neutron Transport ◽  
Transport Processes ◽  
Neutron Transport Equation ◽  
Spatial Direction ◽  
Fully Discrete ◽  
Discrete Methods ◽  
Fifth Order ◽  
Different Order

Fractional neutron transport equation reflects the anomalous transport processes in nuclear reactor. In this paper, we will construct the fully discrete methods for this type of fractional equation with Riesz derivative, where the generalized WENO5 scheme is used in spatial direction and Runge–Kutta schemes are adopted in temporal direction. The linear stabilities of the generalized WENO5 schemes with different stages and different order ERK are discussed detailed. Numerical examples show the combinations of forward Euler/two-stage, second-order ERK and WENO5 are unstable and the three-stage, third-order ERK method with generalized WENO5 is stable and can maintain sharp transitions for discontinuous problem, and its convergence reaches fifth order for smooth boundary condition.

A POD reduced-order model for resolving the neutron transport problems of nuclear reactor

2020 ◽  
Vol 149 ◽  
pp. 107799
Author(s):  
Yue Sun ◽  
Junhe Yang ◽  
Yahui Wang ◽  
Zhuo Li ◽  
Yu Ma
Keyword(s):  
Nuclear Reactor ◽  
Neutron Transport ◽  
Reduced Order Model ◽  
Order Model ◽  
Reduced Order ◽  
Transport Problems

scholarly journals ARRC: A random ray neutron transport code for nuclear reactor simulation

2018 ◽  
Vol 112 ◽  
pp. 693-714 ◽  
Author(s):  
John R. Tramm ◽  
Kord S. Smith ◽  
Benoit Forget ◽  
Andrew R. Siegel
Keyword(s):  
Nuclear Reactor ◽  
Neutron Transport ◽  
Transport Code
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