Methodology for global nonlinear analysis of nuclear systems

Conference · Thu Jan 01 00:00:00 EST 1987

OSTI ID:5992791

Cacuci, D G; Cacuci, G L

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.

• Research Organization: Oak Ridge National Lab., TN (USA); Tennessee Univ., Knoxville (USA). Dept. of Nuclear Engineering
• DOE Contract Number: AC05-84OR21400
• OSTI ID: 5992791
• Report Number(s): CONF-871101-26; ON: DE87011666; TRN: 87-035106
• Resource Relation: Conference: California State Air Resources Board, Los Angeles, CA, USA, 15 Nov 1987; Other Information: Portions of this document are illegible in microfiche products
• Country of Publication: United States
• Language: English

Related Subjects

22 GENERAL STUDIES OF NUCLEAR REACTORS
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
NONLINEAR PROBLEMS
ANALYTICAL SOLUTION
REACTORS
HEAT TRANSFER
HYDRAULICS
MATHEMATICAL MODELS
TESTING
ENERGY TRANSFER
FLUID MECHANICS
MECHANICS
220100* - Nuclear Reactor Technology- Theory & Calculation
990230 - Mathematics & Mathematical Models- (1987-1989)