Methodology for global nonlinear analysis of nuclear systems [electronic resource].
- Oak Ridge, Tenn. : Oak Ridge National Laboratory, 1987.
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy.
- Physical Description:
- Pages: 8 : digital, PDF file
- Additional Creators:
- Oak Ridge National Laboratory and United States. Department of Energy. Office of Scientific and Technical Information
- Restrictions on Access:
- Free-to-read Unrestricted online access
- This paper outlines a general method for globally computing the crucial features of nonlinear problems: bifurcations, limit points, saddle points, extrema (maxima and minima); our method also yields the local sensitivities (i.e., first order derivatives) of the system's state variables (e.g., fluxes, power, temperatures, flows) at any point in the system's phase space. We also present an application of this method to the nonlinear BWR model discussed in Refs. 8 and 11. The most significant novel feature of our method is the recasting of a general mathematical problem comprising three aspects: (1) nonlinear constrained optimization, (2) sensitivity analysis, into a fixed point problem of the form F(u(s), lambda(s)) = 0 whose global zeros and singular points are related to the special features (i.e., extrema, bifurcations, etc.) of the original problem.
- Report Numbers:
- E 1.99:conf-871101-26
- Other Subject(s):
- Published through SciTech Connect.
California State Air Resources Board, Los Angeles, CA, USA, 15 Nov 1987.
Cacuci, D.G.; Cacuci, G.L.
- Funding Information:
View MARC record | catkey: 14358956