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Asymptotic derivation of the modified time-dependent SP{sub 2} equations and numerical calculations

Description: Converting the independent variables of the transport equation to dimensionless parameters, asymptotic analyses can be performed to show that, for an important class of problems, the diffusion equation is an asymptotic limit of the transport equation. A recent paper by Larsen, McGhee, and Morel provides a broadened view of the result discussed above. It deals with the steady-state transport equation and shows that the Simplified Spherical-Harmonics (SP{sub N}) equations are robust high-order as… more
Date: July 1, 1993
Creator: Shin, Uncheol; Miller, W. F. Jr. & Morel, J. E.
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Partner: UNT Libraries Government Documents Department
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Improved approximations applied to the S{sub N} even-parity equation

Description: We have developed various finite element differencing schemes by applying lumping techniques in neutron streaming and removal terms of the S{sub N} even-parity transport equation in two-dimensional x-y geometry. We have derived an analytical form of the even-parity reflective boundary condition, which along with the vacuum boundary condition can be applied directly to solve second-order even-parity boundary value problems. We have also developed a new simplified even-parity equation that is muc… more
Date: July 1, 1993
Creator: Noh, Taewan, Miller, W. F. Jr. & Morel, J. E.
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Partner: UNT Libraries Government Documents Department
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Self-Adjoint Angular Flux Equation for Coupled Electron-Photon Transport

Description: Recently, Morel and McGhee described an alternate second-order form of the transport equation called the self adjoint angular flux (SAAF) equation that has the angular flux as its unknown. The SAAF formulation has all the advantages of the traditional even- and odd-parity self-adjoint equations, with the added advantages that it yields the full angular flux when it is numerically solved, it is significantly easier to implement reflective and reflective-like boundary conditions, and in the appro… more
Date: July 8, 1999
Creator: Liscum-Powell, J. L.; Lorence, L. J., Jr.; Morel, J. E. & Prinja, A. K.
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Partner: UNT Libraries Government Documents Department
open access

Space applications of the MITS electron-photon Monte Carlo transport code system

Description: The MITS multigroup/continuous-energy electron-photon Monte Carlo transport code system has matured to the point that it is capable of addressing more realistic three-dimensional adjoint applications. It is first employed to efficiently predict point doses as a function of source energy for simple three-dimensional experimental geometries exposed to simulated uniform isotropic planar sources of monoenergetic electrons up to 4.0 MeV. Results are in very good agreement with experimental data. It … more
Date: July 1, 1996
Creator: Kensek, Ronald P.; Lorence, Leonard J.; Halbleib, John A. & Morel, J. E.
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Partner: UNT Libraries Government Documents Department
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