An Additive Angular-Dependent Rebalance Acceleration Method for Neutron Transport Equations

Conference · Sun Jun 17 04:00:00 EDT 2001

OSTI ID:786289

Cho, Nam Zin; Park, Chang Je

An additive angular-dependent rebalance (AADR) factor acceleration method is described to accelerate the source iteration of discrete ordinates transport calculation. The formulation of the AADR method follows that of the angular-dependent rebalance method in that the rebalance factor is defined only on the cell interface and in that the low-order equation is derived by integrating the transport equation (high-order equation) over angular subspaces. But the rebalance factor is applied additively. While the AADR method is similar to the boundary projection acceleration and the alpha-weighted linear acceleration, it is more general and does have distinct features. The method is easily extendable to DP{sub N} and low-order S{sub N} rebalancing, and it does not require consistent discretizations between the high- and low-order equations as in diffusion synthetic acceleration. It is found by Fourier analysis and numerical results (on an isotropic homogeneous slab) that the AADR method with a chosen form of weighting functions is unconditionally stable and very effective. There also exists an optimal weighting parameter that leads to the smallest spectral radius.

• Research Organization: Korea Advanced Institute of Science and Technology, Taejon (KR)
• Sponsoring Organization: None (US)
• OSTI ID: 786289
• Report Number(s): NONE; ISSN 0003-018X; CODEN TANSAO; ISSN 0003-018X; CODEN TANSAO
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
99 GENERAL AND MISCELLANEOUS
DISCRETE ORDINATE METHOD
DISCRETE ORDINATES METHOD
FOURIER ANALYSIS
ITERATIVE METHODS
NEUTRON TRANSPORT THEORY
SLABS
WEIGHTING FUNCTIONS