New directional {Theta}-weighted S{sub N} differencing scheme

Journal Article · Sun Dec 31 04:00:00 EST 1995 · Transactions of the American Nuclear Society

OSTI ID:411642

Petrovic, B; Haghighat, A ^[1]

---

1. Pennsylvania State Univ., University Park, PA (United States)

Recent studies have demonstrated inherent numerical difficulties in some multidimensional S{sub N} algorithms when applied to shielding problems, i.e., spatial oscillations in calculated flux distribution, which remained in spite of mesh refinement. Further, it has been shown that these difficulties are caused by the differencing schemes. This paper describes a new directional {Theta}-weighted (DTW) differencing scheme that has been developed to alleviate these difficulties and presents corresponding improvements in S{sub N} solutions obtained for simple test problems using this scheme. A companion paper examines the application of this new scheme to a complex actual application, pressure vessel fluence calculation.

• OSTI ID: 411642
• Report Number(s): CONF-951006--
• Journal Information: Transactions of the American Nuclear Society, Journal Name: Transactions of the American Nuclear Society Vol. 73; ISSN 0003-018X; ISSN TANSAO
• Country of Publication: United States
• Language: English

Related Subjects

22 GENERAL STUDIES OF NUCLEAR REACTORS
66 PHYSICS
ALGORITHMS
DISCRETE ORDINATE METHOD
NEUTRON FLUENCE
NEUTRON TRANSPORT THEORY
OSCILLATIONS
PRESSURE VESSELS
REACTOR PHYSICS
SHIELDING