A Deterministic-Monte Carlo Hybrid Method for Time-Dependent Neutron Transport Problems

Conference · Mon Oct 01 04:00:00 EDT 2001

OSTI ID:1004245

Pounders, Justin; Rahnema, Farzad

A new deterministic-Monte Carlo hybrid solution technique is derived for the time-dependent transport equation. This new approach is based on dividing the time domain into a number of coarse intervals and expanding the transport solution in a series of polynomials within each interval. The solutions within each interval can be represented in terms of arbitrary source terms by using precomputed response functions. In the current work, the time-dependent response function computations are performed using the Monte Carlo method, while the global time-step march is performed deterministically. This work extends previous work by coupling the time-dependent expansions to space- and angle-dependent expansions to fully characterize the 1D transport response/solution. More generally, this approach represents and incremental extension of the steady-state coarse-mesh transport method that is based on global-local decompositions of large neutron transport problems. An example of a homogeneous slab is discussed as an example of the new developments.

• Research Organization: Idaho National Laboratory (INL)
• Sponsoring Organization: DOE - NE
• DOE Contract Number: AC07-05ID14517
• OSTI ID: 1004245
• Report Number(s): INL/CON-10-19783
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS
MONTE CARLO METHOD
NEUTRON TRANSPORT
POLYNOMIALS
RESPONSE FUNCTIONS
SOURCE TERMS
TRANSPORT
course mesh transport
hybrid
neutron transport
response method
time-convolution
time-dependent