Adjacent-cell Preconditioners for solving optically thick neutron transport problems

Conference · Tue Mar 01 00:00:00 EST 1994

OSTI ID:10127632

Azmy, Y Y

We develop, analyze, and test a new acceleration scheme for neutron transport methods, the Adjacent-cell Preconditioner (AP) that is particularly suited for solving optically thick problems. Our method goes beyond Diffusion Synthetic Acceleration (DSA) methods in that it`s spectral radius vanishes with increasing cell thickness. In particular, for the ID case the AP method converges immediately, i.e. in one iteration, to 10{sup {minus}4} pointwise relative criterion in problems with dominant cell size of 10 mfp or thicker. Also the AP has a simple formalism and is cell-centered hence, multidimensional and high order extensions are easier to develop, and more efficient to implement.

• Research Organization: Oak Ridge National Lab., TN (United States)
• Sponsoring Organization: USDOE, Washington, DC (United States)
• DOE Contract Number: AC05-84OR21400
• OSTI ID: 10127632
• Report Number(s): CONF-940424-20; ON: DE94007219; TRN: 94:005607
• Resource Relation: Conference: 8. international conference on radiation shielding,Arlington, TX (United States),24-27 Apr 1994; Other Information: PBD: [1994]
• 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
ITERATIVE METHODS
CONVERGENCE
ALGORITHMS
663610
990200
NEUTRON PHYSICS
MATHEMATICS AND COMPUTERS