Angle-dependent rebalance factor method for nodal transport problems in x-y geometry

Journal Article · Thu Dec 31 04:00:00 EST 1998 · Transactions of the American Nuclear Society

OSTI ID:298301

Hong, S G; Cho, N Z ^[1]

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1. KAIST, Seoul (Korea, Republic of)

Acceleration of the convergence of nodal transport methods has received increased attention recently because of the difficulty in using standard diffusion synthetic acceleration (DSA) methods. The authors extend the angle-dependent rebalance (ADR) factor method for x-y geometry problems and apply it to three nodal transport methods: constant-linear (C-L), simplified linear-discontinuous (SLD), and bilinear discontinuous (BLD) methods. In ADR, the rebalance factor is defined as the ratio of the angular fluxes of the same phase point in two iterates, and it is angle-dependent. In x-y geometry, the S{sub 2} approximation for the angular dependency of the rebalance factor is tested. The S{sub 2}-like lower-order equation obtained by integrating the rebalance equation over each octant is solved by a biconjugate gradient stabilized method (Bi-CGSTAB). The numerical tests show that the ADR method can be used effectively for nodal transport methods.

• OSTI ID: 298301
• Report Number(s): CONF-981106--
• Journal Information: Transactions of the American Nuclear Society, Journal Name: Transactions of the American Nuclear Society Vol. 79; ISSN 0003-018X; ISSN TANSAO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CONVERGENCE
ITERATIVE METHODS
MESH GENERATION
NODAL EXPANSION METHOD
TRANSPORT THEORY