First-Order Comprehensive Adjoint Sensitivity Analysis Methodology for Critical Points in Coupled Nonlinear Systems. I: Mathematical Framework

This work presents the novel first-order comprehensive adjoint sensitivity analysis methodology for critical points (1st-CASAM-CP), which enables exact and efficient computation of sensitivities responses defined at (maxima, minima, saddle points) coupled nonlinear models physical systems characterized by imprecisely known parameters underlying models, boundaries, interfaces between systems. Responses are important in many applications, including system optimization, safety analyses licensing. For design licensing nuclear reactors, such essentially include maximum temperatures fuel cladding hot channels. The 1st-CASAM-CP presented this makes it possible to determine, using a single large-scale “adjoint” computation, magnitude response point function phase-space systems’ independent variables. In addition, location respective is located: one required each component By enabling their locations model parameters, interfaces, significantly extends practicality analyzing crucially involving uncertain boundaries.