Diffusion-synthetic method for acceleration of linear nodal S/sub n/ calculations

Conference · Wed Jan 01 04:00:00 EST 1986 · Trans. Am. Nucl. Soc.; (United States)

OSTI ID:6684286

Khalil, H

Application of the differencing procedures devised by Alcouffe and Larsen to the diffusion-synthetic acceleration of multidimensional nodal S/sub n/ calculations yields difference equations that may not be efficiently solvable and has so far been accomplished only for the lowest order constant-constant (C-C) nodal scheme. An alternative differencing technique has been described in which the spatial approximations applied to the continuous diffusion operator are consistent in the P/sub 1/ limit with corresponding approximations made in deriving the nodal S/sub n/ equations. The effectiveness of this technique, which is applicable to any S/sub n/ method, has previously been demonstrated for the C-C and constant-linear (C-L) nodal schemes. Here the author extends the technique to the higher order linear nodal (LN) scheme and demonstrates that the diffusion difference equations obtained can be solved efficiently despite their increased complexity and that the resulting synthetic iteration procedure is stable and rapidly convergent. Very recently, Lawrence developed a different synthetic acceleration method based on an interface-current approach and also applied it successfully to the LN equations.

• Research Organization: Argonne National Lab., IL
• OSTI ID: 6684286
• Report Number(s): CONF-861102-
• Conference Information: Journal Name: Trans. Am. Nucl. Soc.; (United States) Journal Volume: 53
• Country of Publication: United States
• Language: English

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