Results 21 to 30 of about 3,646 (230)

Third Order Adjoint Sensitivity and Uncertainty Analysis of an OECD/NEA Reactor Physics Benchmark: II. Computed Sensitivities

American Journal of Computational Mathematics, 2020
This work presents the results of the exact computation of (180)3 = 5,832,000 third-order mixed sensitivities of the leakage response of a polyethylene-reflected plutonium (PERP) experimental benchmark with respect to the benchmark’s 180 microscopic ...
Ruixian Fang, Dan Gabriel Cacuci
exaly   +2 more sources

Comprehensive Second-Order Adjoint Sensitivity Analysis Methodology (2nd-ASAM) Applied to a Subcritical Experimental Reactor Physics Benchmark: V. Computation of Mixed 2nd-Order Sensitivities Involving Isotopic Number Densities

Energies, 2020
This work applies the Second-Order Adjoint Sensitivity Analysis Methodology (2nd-ASAM) to compute the mixed 2nd-order sensitivities of a polyethylene-reflected plutonium (PERP) benchmark’s leakage response with respect to the benchmark’s imprecisely ...
Ruixian Fang, Dan G. Cacuci
doaj   +3 more sources

Second-order adjoint sensitivity analysis of a general ratio of functionals of the forward and adjoint fluxes in a multiplying nuclear system with source

Annals of Nuclear Energy, 2020
In the present work, the Second-Order Adjoint Sensitivity Analysis Methodology (2nd-ASAM) is applied to a generic multiplying subcritical nuclear system comprising a non-fission neutron source in order to compute efficiently and exactly all of the 1st ...
Dan Gabriel Cacuci
exaly   +2 more sources

Third Order Adjoint Sensitivity and Uncertainty Analysis of an OECD/NEA Reactor Physics Benchmark: III. Response Moments

American Journal of Computational Mathematics, 2020
The (180)3 third-order mixed sensitivities of the leakage response of a polyethylene-reflected plutonium (PERP) experimental benchmark with respect to the benchmark’s 180 microscopic total cross sections have been computed in accompanying works [1] [2 ...
Ruixian Fang, Dan Gabriel Cacuci
exaly   +2 more sources

The nth-Order Comprehensive Adjoint Sensitivity Analysis Methodology for Response-Coupled Forward/Adjoint Linear Systems (nth-CASAM-L): I. Mathematical Framework [PDF]

Energies, 2021
This work presents the mathematical framework of the nth-Order Comprehensive Adjoint Sensitivity Analysis Methodology for Response-Coupled Forward/Adjoint Linear Systems (abbreviated as “nth-CASAM-L”), which is conceived for obtaining the exact ...
D. Cacuci
semanticscholar   +2 more sources

Second-order adjoint sensitivity analysis methodology (2nd-ASAM) for computing exactly and efficiently first- and second-order sensitivities in large-scale linear systems: II. Illustrative application to a paradigm particle diffusion problem [PDF]

Journal of Computational Physics, 2014
This work presents an illustrative application of the second-order adjoint sensitivity analysis methodology (2nd-ASAM) to a paradigm neutron diffusion problem, which is sufficiently simple to admit an exact solution, thereby making transparent the ...
D. Cacuci
semanticscholar   +1 more source

Illustrative Application of the 2nd-Order Adjoint Sensitivity Analysis Methodology to a Paradigm Linear Evolution/Transmission Model: Point-Detector Response

American Journal of Computational Mathematics, 2020
This work illustrates the application of the “Second Order Comprehensive Adjoint Sensitivity Analysis Methodology” (2nd-CASAM) to a mathematical model that can simulate the evolution and/or transmission of particles in a heterogeneous medium.
D. Cacuci
semanticscholar   +1 more source

Second-order sensitivities of a general functional of the forward and adjoint fluxes in a multiplying nuclear system with source

Nuclear Engineering and Design, 2019
This work presents an application of the Second-Order Adjoint Sensitivity Analysis Methodology (2nd-ASAM) to compute efficiently and exactly all of the 1st- and 2nd-order functional derivatives (“sensitivities”) of a generic scalar-valued response to ...
D. Cacuci
semanticscholar   +1 more source

Data for: SECOND-ORDER SENSITIVITIES OF A GENERAL FUNCTIONAL OF THE FORWARD AND ADJOINT FLUXES IN A MULTIPLYING NUCLEAR SYSTEM WITH SOURCE

, 2019
•This work presents an application of the Second-Order Adjoint Sensitivity Analysis Methodology (2nd-ASAM)•The number of computations within the 2nd-ASAM to obtain the 1st- and 2nd-order response sensitivities to model parameters increases linearly in ...
Cacuci, D (via Mendeley Data)
core   +2 more sources

Third-Order Adjoint Sensitivity Analysis of an OECD/NEA Reactor Physics Benchmark: I. Mathematical Framework

American Journal of Computational Mathematics, 2020
This work extends to third-order previously published work on developing the adjoint sensitivity and uncertainty analysis of the numerical model of a polyethylene-reflected plutonium (acronym: PERP) OECD/NEA reactor physics benchmark.
D. Cacuci, R. Fang
semanticscholar   +1 more source