High-Order Boundary Condition Perturbation Theory for the Neutron Transport Equation

McKinley, M S ; Rahnema, F

Lawrence Livermore National Laboratory

关键词: Numerical Solution;    Neutron Transport;    99 General And Miscellaneous//Mathematics, Computing, And Information Science;    Boundary Conditions;    Perturbation Theory;   

DOI  :  10.2172/15005373
RP-ID  :  UCRL-ID-155132
RP-ID  :  W-7405-ENG-48
RP-ID  :  15005373

美国|英语

来源: UNT Digital Library

【 摘 要 】

First-order boundary condition perturbation theory is extended to nth-order in transport theory for eigenvalue problems. In particular, using an unperturbed (known) solution, formalisms are developed to determine the solution to the neutron transport equation when the boundary condition of the system is perturbed. The new method requires the computation of an adjoint Green's function. The numerical solution of this function is discussed. Finally, four numerical examples are provided to verify the validity of the formalisms presented.