An asymptotic study of the transport equation in the Fokker-Planck limit with Angular and spatial discretization
- Texas A&M Univ., College Station, TX (United States)
Recent analyses have shown that the Fokker-Planck (FP) equation is an asymptotic limit of the transport equation given a forward-peaked scattering kernel satisfying certain constraints. In this paper we study discretized one-dimensional transport equations in the same limit. We show that the discrete ordinates (S{sub n}) transport equation Emits to a simple discretization of the FP equation, provided the scattering term is handled in a certain way. We also show that the linear-discontinuous (LD) and linear-moments (LM) spatial discretizations of the S, equations limit to an LD discretization of the FP equation, given the same provision about the scattering term. This provides a theoretical foundation for the application of S{sub n} methods to certain problems with forward-peaked scattering.
- OSTI ID:
- 411641
- Report Number(s):
- CONF-951006--
- Journal Information:
- Transactions of the American Nuclear Society, Journal Name: Transactions of the American Nuclear Society Vol. 73; ISSN 0003-018X; ISSN TANSAO
- Country of Publication:
- United States
- Language:
- English
Similar Records
Discrete ordinates transport methods for problems with highly forward-peaked scattering
The Fokker-Planck limit of a family of transport differencing methods