Analytical Tests for Ray Effect Errors in Discrete Ordinate Methods for Solving the Neutron Transport Equation

Chang, B

Lawrence Livermore National Laboratory

关键词: Numerical Solution;    Lawrence Livermore National Laboratory;    99 General And Miscellaneous//Mathematics, Computing, And Information Science;    Boltzmann Equation;    Discrete Ordinate Method;   

DOI  :  10.2172/15014046
RP-ID  :  UCRL-TR-203127
RP-ID  :  W-7405-ENG-48
RP-ID  :  15014046

美国|英语

来源: UNT Digital Library

【 摘 要 】

This paper contains three analytical solutions of transport problems which can be used to test ray-effect errors in the numerical solutions of the Boltzmann Transport Equation (BTE). We derived the first two solutions and the third was shown to us by M. Prasad. Since this paper is intended to be an internal LLNL report, no attempt was made to find the original derivations of the solutions in the literature in order to cite the authors for their work.