Eigenvalue perturbation calculations for the variational nodal method
Perturbation theory is widely used for estimating the effects of changes in reactor systems for a range of reactor characteristics such as reaction ratios and fuel burnup. More recently, studies of data sensitivities and cross-section adjustments have also employed perturbation theory. As nodal methods become increasingly implemented for reactor core calculations, the need for the corresponding perturbation methods becomes evident. In reactor analysis, perturbation methods require the solution of the adjoint as well as the forward equations. Few nodal methods have matching adjoint solutions and usually only for diffusion theory. In previous work, we demonstrated the adjoint solution algorithm for the variational nodal method for both diffusion and transport approximations. Here, we present perturbation calculations of the critical eigenvalue using the variational nodal method in both exact and first-order approximations.
- OSTI ID:
- 75947
- Report Number(s):
- CONF-940602--
- Journal Information:
- Transactions of the American Nuclear Society, Journal Name: Transactions of the American Nuclear Society Vol. 70; ISSN 0003-018X; ISSN TANSAO
- Country of Publication:
- United States
- Language:
- English
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