Diffusion-accelerated solution of the two-dimensional x-y S[sub n] equations with linear-bilinear nodal differencing

Journal Article · Sat Oct 01 04:00:00 EDT 1994 · Nuclear Science and Engineering; (United States)

OSTI ID:6847744

Wareing, T A; Walters, W F; Morel, J E ^[1]

---

1. Los Alamos National Lab., NM (United States)

Recently, a new diffusion synthetic acceleration scheme was developed for solving the two-dimensional S[sub n] equations in x-y geometry with bilinear-discontinuous finite element spatial discretization, by using a bilinear-discontinuous diffusion differencing scheme for the diffusion acceleration equations. This method differed from previous methods in that it is unconditionally efficient for problems with isotropic or nearly isotropic scattering. Here, the same bilinear-discontinuous diffusion differencing scheme, and associated multilevel solution technique, is used to accelerate the x-y geometry S[sub n] equations with linear-bilinear nodal spatial differencing. It is found that for problems with isotropic or nearly isotropic scattering, this leads to an unconditionally efficient solution method. Computational results are given that demonstrate this property.

• OSTI ID: 6847744
• Journal Information: Nuclear Science and Engineering; (United States), Journal Name: Nuclear Science and Engineering; (United States) Vol. 118:2; ISSN NSENAO; ISSN 0029-5639
• Country of Publication: United States
• Language: English

Related Subjects

663600* -- Radiation Physics-- (1992-)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALGORITHMS
CALCULATION METHODS
DISCRETE ORDINATE METHOD
FINITE ELEMENT METHOD
MATHEMATICAL LOGIC
NUMERICAL SOLUTION
SHIELDING
TRANSPORT THEORY