An analytical nodal method for time-dependent one-dimensional discrete ordinates problems

Conference · Wed Jan 01 04:00:00 EST 1992 · Transactions of the American Nuclear Society; (United States)

OSTI ID:6702861

Barros, R.C. de ^[1]

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1. Instituto de Engenharia Nuclear, Rio de Janeiro (Brazil)

In recent years, relatively little work has been done in developing time-dependent discrete ordinates (S[sub N]) computer codes. Therefore, the topic of time integration methods certainly deserves further attention. In this paper, we describe a new coarse-mesh method for time-dependent monoenergetic S[sub N] transport problesm in slab geometry. This numerical method preserves the analytic solution of the transverse-integrated S[sub N] nodal equations by constants, so we call our method the analytical constant nodal (ACN) method. For time-independent S[sub N] problems in finite slab geometry and for time-dependent infinite-medium S[sub N] problems, the ACN method generates numerical solutions that are completely free of truncation errors. Bsed on this positive feature, we expect the ACN method to be more accurate than conventional numerical methods for S[sub N] transport calculations on coarse space-time grids.

• OSTI ID: 6702861
• Report Number(s): CONF-921102--
• Conference Information: Journal Name: Transactions of the American Nuclear Society; (United States) Journal Volume: 66
• Country of Publication: United States
• Language: English

Related Subjects

663620* -- Physics of Radiations Other Than Neutrons-- (1992-)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
CALCULATION METHODS
COMPUTER CODES
DIFFERENTIAL EQUATIONS
DISCRETE ORDINATE METHOD
EQUATIONS
NEUTRAL-PARTICLE TRANSPORT
NEUTRON TRANSPORT
NUMERICAL SOLUTION
ONE-DIMENSIONAL CALCULATIONS
RADIATION TRANSPORT