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Division members promote the advancement of mathematical and computational methods for solving problems arising in all disciplines encompassed by the Society. They place particular emphasis on numerical techniques for efficient computer applications to aid in the dissemination, integration, and proper use of computer codes, including preparation of computational benchmark and development of standards for computing practices, and to encourage the development on new computer codes and broaden their use.
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ANS Student Conference 2025
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Albuquerque, NM|The University of New Mexico
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General Kenneth Nichols and the Manhattan Project
Nichols
The Oak Ridger has published the latest in a series of articles about General Kenneth D. Nichols, the Manhattan Project, and the 1954 Atomic Energy Act. The series has been produced by Nichols’ grandniece Barbara Rogers Scollin and Oak Ridge (Tenn.) city historian David Ray Smith. Gen. Nichols (1907–2000) was the district engineer for the Manhattan Engineer District during the Manhattan Project.
As Smith and Scollin explain, Nichols “had supervision of the research and development connected with, and the design, construction, and operation of, all plants required to produce plutonium-239 and uranium-235, including the construction of the towns of Oak Ridge, Tennessee, and Richland, Washington. The responsibility of his position was massive as he oversaw a workforce of both military and civilian personnel of approximately 125,000; his Oak Ridge office became the center of the wartime atomic energy’s activities.”
Rodolfo M. Ferrer, HyeongKae Park
Nuclear Science and Engineering | Volume 196 | Number 6 | June 2022 | Pages 637-650
Technical Paper | doi.org/10.1080/00295639.2021.2011668
Articles are hosted by Taylor and Francis Online.
The recently developed High-Order, Low-Order scheme for the solution of thermal radiative transfer problems is applied as an acceleration method to the neutral particle transport equation. The resulting Corner Balance Nonlinear Diffusion Acceleration (CB-NDA) is derived, and a stability analysis is performed in conjunction with moment-based, spatially linear discretizations. These spatial discretizations correspond to the lumped Linear Discontinuous (LD) and Linear Characteristic (LC) schemes, which possess the thick diffusion limit. The lumped LD and LC schemes satisfy corner balance equations, which in turn are used to derive the CB-NDA. Two variants of the CB-NDA include the net current and partial current formulations. Numerical results are presented that verify the theoretical predictions and implementation. Theoretical spectral radius from the analysis is verified by comparison to values from the numerical solution of a one-dimensional transport problem. Results indicate similar stability between the CB-NDA–accelerated lumped LD and LC schemes. The net current–based CB-NDA is found to be unstable whereas the partial current formulation remains stable over the range of scattering ratios and optical thicknesses.