Adjoint sensitivity analysis for transient two-phase flow

Journal Article · Wed Dec 01 04:00:00 EST 1982 · Nucl. Sci. Eng.; (United States)

OSTI ID:5916633

Cacuci, D G; Wacholder, E

A rigorous formalism is presented for sensitivity analysis of functional-type responses associated with the well-posed system of quasi-linear partial differential equations (PDEs) of hyperbolic type that describe one-dimensional, two-phase flows. The rigor and generality of this formalism stem from the use of G differentials. In particular, it is possible to treat discontinuities and parameters that are functions rather than scalars. This formalism uses adjoint functions to determine efficiently sensitivities to many parameter variations. The adjoint system satisfied by these adjoint functions is explicitly determined and shown to be solvable as a well-posed system of linear first-order PDEs possessing the same characteristics as the original quasi-linear PDEs. For completeness, a general solution of this adjoint system is obtained by using the method of characteristics. The physical meaning of this sensitivity analysis formalism is illustrated by an application to the homogeneous equilibrium model for two-phase flow. Although this formalism does not address transition phenomena between single- and two-phase flow regimes and ignores higher order effects of parameter variations, it provides a complete theoretical framework for implementing an efficient sensitivity analysis capability into one-dimensional, two-phase flow models.

• Research Organization: Oak Ridge National Laboratory, Engineering Physics Division, P.O. Box X, Oak Ridge, Tennessee 37830
• OSTI ID: 5916633
• Journal Information: Nucl. Sci. Eng.; (United States), Journal Name: Nucl. Sci. Eng.; (United States) Vol. 82:4; ISSN NSENA
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
DIFFERENTIAL EQUATIONS
ENGINEERING
EQUATIONS
FLOW MODELS
FLUID FLOW
FUNCTIONS
KINETICS
MATHEMATICAL MODELS
NUCLEAR ENGINEERING
PARAMETRIC ANALYSIS
PARTIAL DIFFERENTIAL EQUATIONS
REACTOR KINETICS
RESPONSE FUNCTIONS
SENSITIVITY ANALYSIS
TRANSIENTS
TURBULENT FLOW
TWO-PHASE FLOW