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 -