Multidual Sensitivity Method in Ray-Tracing Transport Simulations

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dc.contributor.authorBalcer, Matthew R.
dc.contributor.authorMillwater, Harry
dc.contributor.authorFavorite, Jeffrey A.
dc.creator.orcidhttps://orcid.org/0000-0002-7864-9518en_US
dc.date.accessioned2023-05-23T18:56:54Z
dc.date.available2023-05-23T18:56:54Z
dc.date.issued2021-07-01
dc.description.abstractThe multidual differentiation method has been implemented in a ray-tracing transport simulation for the purpose of calculating arbitrary-order sensitivities of the uncollided particle leakage. This method extends dual number differentiation by perturbing variables along multiple nonreal axes to calculate arbitrary-order derivatives. Numerical results of first-through third-order multidual sensitivities of the uncollided particle leakage with respect to isotope densities, microscopic cross sections, source emission rates, and material interface locations (including the outer boundary) are shown for a two-region sphere. The relative error of first and second partial derivatives with respect to isotopic parameters and first partial derivatives of the leakage with respect to interface locations are within 9.8E−10% of existing adjoint-based sensitivities. Higher-order multidual-based derivatives that are not available with the adjoint method are in excellent agreement with central difference approximations.en_US
dc.description.departmentMechanical Engineeringen_US
dc.description.sponsorshipThis material was partially funded by the CONsortium on Nuclear sECurity Technologies (CONNECT), which is funded by the U.S. Department of Energy National Nuclear Security Administration under award number DE-NA0003948.en_US
dc.identifier.citationBalcer, M. R., Millwater, H., & Favorite, J. A. (2021). Multidual Sensitivity Method in Ray-Tracing Transport Simulations. Nuclear Science and Engineering, 195(9), 907-936. doi:10.1080/00295639.2021.1883949en_US
dc.identifier.issn1943-748X
dc.identifier.otherhttps://doi.org/10.1080/00295639.2021.1883949
dc.identifier.urihttps://hdl.handle.net/20.500.12588/1853
dc.language.isoen_USen_US
dc.publisherTaylor and Francisen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectmultidual sensitivityen_US
dc.subjecthigh-order derivativesen_US
dc.subjectray-tracing transport simulationen_US
dc.titleMultidual Sensitivity Method in Ray-Tracing Transport Simulationsen_US
dc.typeArticleen_US

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