Radiation-Transport Cross-Section Sensitivity Analysis— A General Approach Illustrated for a Thermonuclear Source in Air

Bartine, D.E.; Oblow, E.M.; Mynatt, F.R.

doi:10.13182/nse74-a28204

Cited by 22 publications

(9 citation statements)

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“…Following a similar line of inquiry, Carrera and Neuman [1986] and Towriley and Wilson [1983] used the adjoint technique as part of a parameter identification scheme for the inverse problem of aquifer hydrology. The sensitivity coefficients required to assess the confidence levels and uncertainties in the design parameters of nuclear reactors lOblow, 1978] and for a sensitivity analysis of radiation transport in air [Bartine et al, 1974]…”

Section: Adjoint Formulationmentioning

confidence: 99%

Sensitivity and uncertainty analysis of a short‐term sea ice motion model

Thomson¹,

Sykes²

1990

J. Geophys. Res.

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In the modelling of sea ice motion, a major concern focuses on how sensitive model simulation results are to changes in the model inputs or the system parameters. Parallel to this concern is the manner in which the uncertainty in the model inputs or system parameters manifests itself as uncertainty in model results. In this paper, the theory required for the sensitivity and uncertainty analysis of a short term ice motion model is presented. The governing equations for this ice motion model are composed of the standard equation of motion in conjunction with a two‐level thickness distribution model. To ascertain model sensitivities, a method based on the adjoint operator technique is utilized. Uncertainties in the model simulation results are determined by a first‐order, second‐moment method. Two formulations of the adjoint state equations are presented, one involving the governing partial differential equations (continuous formulation) and the other involving the discrete or numerical form of the governing equation (discrete formulation). The resulting sensitivity and uncertainty methodology is applied to a 4‐day ice motion episode in the southern Beaufort Sea. The sensitivity and uncertainty of the calculated ice velocity and the ice thickness at a particular location within the domain are discussed.

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Section: Adjoint Formulationmentioning

confidence: 99%

Sensitivity and uncertainty analysis of a short‐term sea ice motion model

Thomson¹,

Sykes²

1990

J. Geophys. Res.

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“…The sensitivity calculations were carried out with the code SWANLAKE [15] in the manner described·in Refs. [6] and [7]. The response functions discussed above were used as sources in the adjoint calculations needed in SWANLAKE.…”

Section: Geometry and Details Of The Calculationsmentioning

confidence: 99%

“…The calculations were carried out using perturbation theory to obtain sensitivity profiles for the various cross sections of interest [6,7], and these profiles were then combined with cross-section error estimates to determine the uncertainties in the quantities of interest, such as the energy deposition per unit volume in the TF coil. To carry out this procedure in complete generality, it is necessary that correlations in cross-section errors be taken into account, and this, in turn, requires that complete cross-section error data files be available [8,9].…”

Section: Introductionmentioning

confidence: 99%

Uncertainties in Calculated Heating and Radiation Damage in the Toroidal Field Coil of a Tokamak Experimental Power Reactor Due to Neutron Cross-Section Errors

1977

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“…It is convenient and useful to define a relative sensitivity coefficient (9) which is called a sensitivity profile 'for cross section Z i when i is the group index of a multigroup cross-section set (E.). F~ can be interpreted ac 1 …”

Section: Applications To the Tokamak Fusion Test Reactor (Tftr)mentioning

confidence: 99%

Application of sensitivity analysis to a quantitative assessment of neutron cross-section requirements for the TFTR: an interim report

Gerstl¹,

Dudziak²,

Muir³

1975

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A computational method to determine cross-section requirements quantitatively is described and applied to the Tokamak Fusion Test Reactor (TFTR). In order to provide a rational basis for the priorities assigned to new crosssection measurements or evaluations, this Method includes: quantitative estimates of the uncertainty of currently available data, the sensitivity of important nuclear design parameters to selected cross sections, and the accuracy desired in predicting nuclear design parameters. Perturbation theory is used to combine estimated cross-section uncertainties with calculated sensitivities to determine the variance of any nuclear design parameter of interest.

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Radiation-Transport Cross-Section Sensitivity Analysis— A General Approach Illustrated for a Thermonuclear Source in Air

Cited by 22 publications

References 0 publications

Sensitivity and uncertainty analysis of a short‐term sea ice motion model

Sensitivity and uncertainty analysis of a short‐term sea ice motion model

Uncertainties in Calculated Heating and Radiation Damage in the Toroidal Field Coil of a Tokamak Experimental Power Reactor Due to Neutron Cross-Section Errors

Application of sensitivity analysis to a quantitative assessment of neutron cross-section requirements for the TFTR: an interim report

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