Analytical Radiation Transport Benchmarks for the Next Century

Technical Report · Wed Jan 26 04:00:00 EST 2005

DOI:https://doi.org/10.2172/836281· OSTI ID:836281

Ganapol, B. D. ^[1]

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1. Univ. of Arizona, Tucson, AZ (United States); University of Arizona/ Dept of Mechanical & Aerospace Engineering

Verification of large-scale computational algorithms used in nuclear engineering and radiological applications is an essential element of reliable code performance. For this reason, the development of a suite of multidimensional semi-analytical benchmarks has been undertaken to provide independent verification of proper operation of codes dealing with the transport of neutral particles. The benchmarks considered cover several one-dimensional, multidimensional, monoenergetic and multigroup, fixed source and critical transport scenarios. The first approach, called the Green's Function. In slab geometry, the Green's function is incorporated into a set of integral equations for the boundary fluxes. Through a numerical Fourier transform inversion and subsequent matrix inversion for the boundary fluxes, a semi-analytical benchmark emerges. Multidimensional solutions in a variety of infinite media are also based on the slab Green's function. In a second approach, a new converged SN method is developed. In this method, the SN solution is ''minded'' to bring out hidden high quality solutions. For this case multigroup fixed source and criticality transport problems are considered. Remarkably accurate solutions can be obtained with this new method called the Multigroup Converged SN (MGCSN) method as will be demonstrated.

• Research Organization: Univ. of Arizona, Tucson, AZ (United States)
• Sponsoring Organization: USDOE National Nuclear Security Administration (NNSA), Nuclear Criticality Safety Program (NCSP)
• DOE Contract Number: FG07-01ID14113
• OSTI ID: 836281
• Report Number(s): DOE/ID/14113
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALGORITHMS
BENCHMARKS
CRITICALITY
DISCRETE ORDINATE METHOD
GEOMETRY
Green’s Function Method (GFM)
INTEGRAL EQUATIONS
Multigroup Converged SN (MGCSN)
NEUTRAL PARTICLES
NUCLEAR ENGINEERING
Nuclear Criticality Safety Program (NCSP)
PERFORMANCE
RADIATION TRANSPORT
TRANSPORT
VERIFICATION