Comparison of analytical transport and stochastic solutions for neutron slowing down in an infinite medium

Conference · Fri Jan 01 00:00:00 EST 1993

OSTI ID:6605276

Jahshan, S N; Wemple, C A ^[1]; Ganapol, B D ^[2]

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1. EG and G Idaho, Inc., Idaho Falls, ID (United States)
2. Arizona Univ., Tucson, AZ (United States)

A comparison of the numerical solutions of the transport equation describing the steady neutron slowing down in an infinite medium with constant cross sections is made with stochastic solutions obtained from tracking successive neutron histories in the same medium. The transport equation solution is obtained using a numerical Laplace transform inversion algorithm. The basis for the algorithm is an evaluation of the Bromwich integral without analytical continuation. Neither the transport nor the stochastic solution is limited in the number of scattering species allowed. The medium may contain an absorption component as well.

• Research Organization: EG and G Idaho, Inc., Idaho Falls, ID (United States)
• Sponsoring Organization: USDOE; USDOE, Washington, DC (United States)
• DOE Contract Number: AC07-76ID01570
• OSTI ID: 6605276
• Report Number(s): EGG-M-92468; CONF-930404-8; ON: DE93010799
• Resource Relation: Conference: International topical meeting on mathematical methods and supercomputing in nuclear applications (M C+SNA '93), Karlsruhe (Germany), 19-23 Apr 1993
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
NEUTRON TRANSPORT
NUMERICAL SOLUTION
ALGORITHMS
COMPARATIVE EVALUATIONS
MONTE CARLO METHOD
SCATTERING
STOCHASTIC PROCESSES
CALCULATION METHODS
EVALUATION
MATHEMATICAL LOGIC
NEUTRAL-PARTICLE TRANSPORT
RADIATION TRANSPORT
663610* - Neutron Physics- (1992-)
990200 - Mathematics & Computers