کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1728545 1521146 2013 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Projection-based second order perturbation theory
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه مهندسی انرژی مهندسی انرژی و فناوری های برق
پیش نمایش صفحه اول مقاله
Projection-based second order perturbation theory
چکیده انگلیسی

Reactor analysis represents a typical example of a complex engineering system that is described by multi-scale and multi-physics nonlinear models with many input parameters and output responses. Obtaining reference solutions to these models is computationally expensive which renders impractical their repeated executions for engineering-oriented studies such as design optimization, uncertainty quantification, and safety analysis. To overcome this challenge, sensitivity analysis based on first-order perturbation theory has been widely used in the reactor analysis community to estimate changes in responses of interest due to input parameter variations. Although perturbation theory has been rigorously developed over the past four decades in order to extend its applicability to estimate higher order variations, engineering applications have primarily focused on first-order perturbation theory only. This is because the computational overhead of higher order perturbation theory are often overwhelming and do not justify the development effort required for their implementation. This manuscript further develops a recently introduced higher order approach to estimate second order variations. The objective is to demonstrate that first-order perturbation theory can be employed in practical engineering calculations to estimate higher order variations. The applicability of the introduced approach is analyzed with TSUNAMI-2D for typical lattice physics calculations.


► A new approach to calculate second order variations using variational theory is presented.
► The approach employs only first order variations in tandem with matrix decomposition methods.
► Regularization of second order derivatives is employed to minimize effect of numerical errors.
► Representative numerical experiments are given.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annals of Nuclear Energy - Volume 52, February 2013, Pages 80–85
نویسندگان
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