Interface-current approach to synthetic acceleration of three-dimensional discrete-ordinates transport methods
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), Journal Name: Trans. Am. Nucl. Soc.; (United States) Vol. 53; ISSN TANSA
- Country of Publication:
- United States
- Language:
- English
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