Application of Jacobi Polynomial Methods to the One-Speed Transport Equation,
Abstract
The transport equations associated with radiation damage studies are often solved using expansions in Legendre polynomials. The radiation damage distribution functions may be sharply peaked in the forward direction, while the Legendre polynomials, as a set, are isotropic. This requires the use of many terms in the Legendre expansion. The Jacobi polynomials, on the other hand, can have strong peaking built into their associated weight function. To test the usefulness of these polynomials the author uses them to solve the simple, one-speed, neutron transport equation. The results are then compared to the exact theory and to the results of applying Legendre methods to the same problem. This sample calculation demonstrates the clear advantage of the Jacobi polynomials in strongly non-isotropic situations. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 06, 1973
- Accession Number
- AD0757305
Entities
People
- G. P. Mueller
Organizations
- United States Naval Research Laboratory