Constraints upon Group-to-Group Scatter Coefficients Used with Transport Calculations.
Abstract
A set of constraints was formulated to test the higher order coefficients of a Legendre polynomial expansion for the angular dependence of the differential cross section which describes the scattering of X-ray energy photons with non-stationary electrons. Prior workers have developed numerical methods which generate these coefficients for both discrete and groupwise treatments of radiative energy transfer. Such coefficients were constrained to obey the principles of conservation of total cross section and detailed balance at equilibrium. This conservation principle provided a test only for the zero order coefficients to chance. By generalizing the conservation principle to apply to higher order coefficients, and providing the necessary values of averaged polynomials for given initial photon energies, the author developed a method for testing these higher order coefficients. (Modified author abstract)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1973
- Accession Number
- AD0774445
Entities
People
- Joseph B. Webster Iii
Organizations
- Air Force Institute of Technology