Two-dimensional one-group transport benchmark in infinite cylindrical geometry

Journal Article · Sat Dec 31 04:00:00 EST 1994 · Transactions of the American Nuclear Society

OSTI ID:89107

Kornreich, D E; Ganapol, B D

Great efforts have been made to obtain analytical benchmark solutions to the transport equation. Such solutions are useful for confirmation of proper operation of discrete ordinates and Monte Carlo codes. They are also very useful for educational purposes and for investigation of new numerical methods. Such benchmark solutions usually involve Fourier or Laplace transforms, Wiener-Hopf factorization, or use Case`s method. Benchmarks have been provided for one- and two-dimensional geometries, but have yet to be seen for a true three-dimensional case. This paper investigates a specific and unusual two-dimensional problem in cylindrical geometry. The purpose is to investigate integrals that are similar to those encountered in a three-dimensional problem. Standard numerical techniques for the evaluation of the inverse Fourier transforms are employed.

• OSTI ID: 89107
• Report Number(s): CONF-941102--
• Journal Information: Transactions of the American Nuclear Society, Journal Name: Transactions of the American Nuclear Society Vol. 71; ISSN 0003-018X; ISSN TANSAO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
BENCHMARKS
FOURIER TRANSFORMATION
INTEGRAL TRANSFORMATIONS
MATHEMATICAL SPACE
ONE-GROUP THEORY
TWO-DIMENSIONAL CALCULATIONS