Synthetically accelerated heterogeneous response-matrix method for linear transport calculations

Thesis/Dissertation · Wed Jan 01 04:00:00 EST 1986

OSTI ID:6211736

Adams, M L

A synthetically accelerated response-matrix method with heterogeneous coarse-mesh capability has been developed for the solution of neutral particle transport problems. Implementations of the method proceeds as follows. The transport problem domain is divided into subdomains called regions; the equation is then discretized on each region using a relatively fine mesh. The resulting matrix equation is solved by direct inversion, yielding fine-mesh (local) response matrices. At this point a fine-to-coarse-mesh projection can be performed to generate coarse-mesh (global) response matrices, resulting in fewer unknowns in the ensuing global calculation. The synthetically accelerated global calculation, which is performed by assembling the response matrices from all regions and using interface fluxes to link the regions, yields a converged interface flux distribution. This distribution can be used in conjunction with the previously stored fine-mesh response matrices to generate the detailed flux distribution within each region.

• Research Organization: Michigan Univ., Ann Arbor (USA)
• OSTI ID: 6211736
• Country of Publication: United States
• Language: English

Related Subjects

654001* -- Radiation & Shielding Physics-- Radiation Physics
Shielding Calculations & Experiments
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
EQUATIONS
FINITE ELEMENT METHOD
FLUX SYNTHESIS
MESH GENERATION
NEUTRAL PARTICLES
NUMERICAL SOLUTION
PARTICLES
REACTOR KINETICS EQUATIONS
RESPONSE MATRIX METHOD
TRANSPORT THEORY