Angular Fokker-Planck Decomposition and Representation Techniques
- 1 September 1989
- journal article
- research article
- Published by Taylor & Francis in Nuclear Science and Engineering
- Vol. 103 (1) , 1-11
- https://doi.org/10.13182/nse89-a23655
Abstract
Two new methods for decomposing scattering cross sections into the forward-peaked and smooth components required for Boltzmann-Fokker-Planck calculations are presented. The first is slightly simpler than existing methods and offers the same level of effectiveness. The second is more expensive than existing methods, but is much more effective. Legendre moments that give a positive representation for the angular Fokker-Planck operator and can be used in standard Sn codes are presented. Computational results are given that demonstrate the effectiveness of these new decomposition and representation techniques.Keywords
This publication has 9 references indexed in Scilit:
- A Hybrid Collocation-Galerkin-SnMethod for Solving the Boltzmann Transport EquationNuclear Science and Engineering, 1989
- Photon Transport Studies in Media with Strongly Anisotropic Scattering with the Boltzmann-Fokker-Planck EquationNuclear Science and Engineering, 1987
- An Improved Fokker-Planck Angular Differencing SchemeNuclear Science and Engineering, 1985
- Treatment of Scattering Anisotropy of Neutrons Through the Boltzmann-Fokker-Planck EquationNuclear Science and Engineering, 1983
- Algorithm 587: Two Algorithms for the Linearly Constrained Least Squares ProblemACM Transactions on Mathematical Software, 1982
- The SLATEC mathematical subroutine libraryACM SIGNUM Newsletter, 1982
- Numerical Analysis of the Boltzmann Equation Including Fokker-Planck TermsNuclear Science and Engineering, 1982
- Fokker-Planck Calculations Using Standard Discrete Ordinates Transport CodesNuclear Science and Engineering, 1981
- Theory of Electron PenetrationPhysical Review B, 1955