TY - GEN
T1 - Solution of the neutron diffusion equation with the peridynamic differential operator
AU - Behera, Deepak
AU - Ganapol, Barry
AU - Madenci, Erdogan
N1 - Publisher Copyright:
© 2018 International Conference on Physics of Reactors, PHYSOR 2018: Reactor Physics Paving the Way Towards More Efficient Systems. All rights reserved.
PY - 2018
Y1 - 2018
N2 - The peridynamic differential (PD) operator introduces an internal parameter that defines association among the points within a finite range enabling differentiation through integration. Thus, it is very robust for determining higher order derivatives of spatial and temporal functions and restoring the interactive nature of phenomenon lost during local differentiation. Furthermore, the PD operator enables the solution of partial differential equations (PDEs) and ordinary differential equations (ODEs) in a unified manner regardless of their intrinsic behavior and presence of a singularity. This study presents an application of this nonlocal operator to investigate both steady state and time dependent monoenergetic neutron diffusion with results compared to analytical steady state and time dependent benchmarks.
AB - The peridynamic differential (PD) operator introduces an internal parameter that defines association among the points within a finite range enabling differentiation through integration. Thus, it is very robust for determining higher order derivatives of spatial and temporal functions and restoring the interactive nature of phenomenon lost during local differentiation. Furthermore, the PD operator enables the solution of partial differential equations (PDEs) and ordinary differential equations (ODEs) in a unified manner regardless of their intrinsic behavior and presence of a singularity. This study presents an application of this nonlocal operator to investigate both steady state and time dependent monoenergetic neutron diffusion with results compared to analytical steady state and time dependent benchmarks.
KW - Neutron diffusion
KW - Nonlocal
KW - Numerical Laplace transform inversion
KW - Peridynamic differential operator
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M3 - Conference contribution
AN - SCOPUS:85106151624
T3 - International Conference on Physics of Reactors, PHYSOR 2018: Reactor Physics Paving the Way Towards More Efficient Systems
SP - 1585
EP - 1595
BT - International Conference on Physics of Reactors, PHYSOR 2018
PB - Sociedad Nuclear Mexicana, A.C.
T2 - 2018 International Conference on Physics of Reactors: Reactor Physics Paving the Way Towards More Efficient Systems, PHYSOR 2018
Y2 - 22 April 2018 through 26 April 2018
ER -