NEW SOLUTIONS OF THE BOLTZMANN EQUATION FOR MONOENERGETIC NEUTRON TRANSPORT IN SPHERICAL GEOMETRY
Solutions of the Boltzmann equation for monoenergetic neutron transport in spherical geometry are derived which are respectively singular and regular at the center of the sphere. A few specific partial singular solutions are presented. The regular solutions in spherical geometry are constructed by superposition of solutions in plane geometry which belong to the same k. Finally, the solutions are compared with their representations by a series of spherical harmonics. (D. L.C.)
- Research Organization:
- Oak Ridge National Lab., Tenn.
- DOE Contract Number:
- W-7405-ENG-26
- NSA Number:
- NSA-16-002468
- OSTI ID:
- 4833518
- Report Number(s):
- ORNL-3216
- Country of Publication:
- United States
- Language:
- English
Similar Records
Parallel Shooting solution of the neutron transport equation in spherical geometry
COMPLETE SPHERICAL HARMONICS SOLUTION OF THE BOLTZMANN EQUATION FOR NEUTRON TRANSPORT IN HOMOGENEOUS MEDIA WITH CYLINDRICAL GEOMETRY
Time-dependent moments of the monoenergetic transport equation in spherical and cylindrical geometry
Journal Article
·
Wed Oct 31 23:00:00 EST 1973
· J. Comput. Phys., v. 13, no. 3, pp. 380-397
·
OSTI ID:4368129
COMPLETE SPHERICAL HARMONICS SOLUTION OF THE BOLTZMANN EQUATION FOR NEUTRON TRANSPORT IN HOMOGENEOUS MEDIA WITH CYLINDRICAL GEOMETRY
Journal Article
·
Mon Nov 30 23:00:00 EST 1959
· Nuclear Sci. and Eng.
·
OSTI ID:4204465
Time-dependent moments of the monoenergetic transport equation in spherical and cylindrical geometry
Journal Article
·
Sat May 01 00:00:00 EDT 1976
· Nucl. Sci. Eng.; (United States)
·
OSTI ID:7365666