Application of the P/sub n/-method to the calculation of the angular flux of gamma rays

Journal Article · Sun Jul 01 00:00:00 EDT 1984 · J. Comput. Phys.; (United States)

DOI:https://doi.org/10.1016/0021-9991(84)90016-0· OSTI ID:6619608

Storchi, P R.M.

An application of the P/sub n/-method to the transport of gamma rays is presented in the case where Compton-scattering is predominant. The geometry considered is a slab of medium bounded by vacuum. In this application the P/sub n/-method is related to the Lagrange interpolation and the Gauss-quadrature rule. This is of practical importance for the choice of the boundary conditions and for the approximation of the angular flux, especially at the edges of the medium. In addition, the set of spatial differential equations becomes uncoupled, allowing explicit numerical solution. The solution of each differential equation is approximated by means of Hermite interpolation.

• Research Organization: Computer Department, Rotterdamsch Radio-Therapeutisch Instituut, Groene Hilledijk 301, 3075 EA Rotterdam, Holland
• OSTI ID: 6619608
• Journal Information: J. Comput. Phys.; (United States), Vol. 55:1
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
PHOTON TRANSPORT
INTERPOLATION
BOUNDARY CONDITIONS
COMPTON EFFECT
GAMMA RADIATION
LEGENDRE POLYNOMIALS
BASIC INTERACTIONS
ELASTIC SCATTERING
ELECTROMAGNETIC INTERACTIONS
ELECTROMAGNETIC RADIATION
FUNCTIONS
INTERACTIONS
IONIZING RADIATIONS
NEUTRAL-PARTICLE TRANSPORT
NUMERICAL SOLUTION
POLYNOMIALS
RADIATION TRANSPORT
RADIATIONS
SCATTERING
654001* - Radiation & Shielding Physics- Radiation Physics
Shielding Calculations & Experiments