Interface-current approach to synthetic acceleration of three-dimensional discrete-ordinates transport methods

Conference · Wed Jan 01 00:00:00 EST 1986 · Trans. Am. Nucl. Soc.; (United States)

OSTI ID:7057067

Lawrence, R D

The unconditionally stable diffusion-synthetic acceleration (DSA) methods of Alcouffe and Larsen utilize spatially discretized low-order (diffusion) equations that can be derived directly from the spatially discretized discrete ordinates equations. Extension of this procedure to higher order multidimensional differencing schemes (e.g., nodal discrete ordinates methods), however, yields low-order equations that appear to be much more difficult to solve efficiently, even when they are derived from the lowest order (constant-constant) two-dimensional nodal equations. The computationally efficient nodal DSA method developed by Khalil avoids this problem by relaxing the strict requirement that the discretized low-order equations be derived directly from the discrete ordinates equations. Here, the authors develop an interface-current synthetic acceleration (ICSA) method that differs from previous work in two respects: (a) the low-order equations (which can be derived directly from the discretized transport equation) are based on a double P/sub 0/ representation of the angular fluxes on the cell boundaries only, and (b) the final synthetic equations retain the relatively simple structure of traditional interface-current equations. Adams and Martin have independently developed and Fourier-analyzed a general approach to synthetic acceleration that also uses half-range approximations to the interface angular fluxes.

• OSTI ID: 7057067
• Report Number(s): CONF-861102-
• Journal Information: Trans. Am. Nucl. Soc.; (United States), Vol. 53; Conference: American Nuclear Society and Atomic Industrial Forum joint meeting, Washington, DC, USA, 16 Nov 1986
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
22 GENERAL STUDIES OF NUCLEAR REACTORS
NEUTRON TRANSPORT THEORY
DISCRETE ORDINATE METHOD
MATHEMATICAL MODELS
REACTOR KINETICS
THREE-DIMENSIONAL CALCULATIONS
KINETICS
TRANSPORT THEORY
654003* - Radiation & Shielding Physics- Neutron Interactions with Matter
220100 - Nuclear Reactor Technology- Theory & Calculation