论文信息 - Modified diffusion synthetic acceleration algorithms

Modified diffusion synthetic acceleration algorithms

The diffusion synthetic acceleration (DSA) method is an iterative procedure for obtaining rapidly convergent numerical solutions of discrete ordinates problems. General P/sub L/ acceleration methods for L>1 are first considered to determine if DSA, which is equivalent to P/sub 1/ acceleration, is optimum. After determining that DSA appears to be the optimum P/sub L/ approach, it is then demonstrated that by also using standard techniques of matrix iterative acceleration, modest improvements can be made is DSA performance.

Edward W. Larsen | Warren F. Miller | W. Miller | E. Larsen

[1] Edward W. Larsen,et al. UNCONDITIONALLY STABLE DIFFUSION-SYNTHETIC ACCELERATION METHODS FOR THE SLAB GEOMETRY DISCRETE ORDINATES EQUATIONS. PART I: THEORY. , 1982 .

[2] Edward W. Larsen,et al. Computational Efficiency of Numerical Methods for the Multigroup, Discrete-Ordinates Neutron Transport Equations: The Slab Geometry Case , 1979 .

[3] W. Miller,et al. Generalized Rebalance: A Common Framework for Transport Acceleration Methods , 1978 .

[4] R. E. Alcouffe,et al. Diffusion synthetic acceleration methods for the diamond-differenced discrete-ordinates equations , 1977 .

[5] G. Charpak,et al. Scintillating Drift Chambers with Moderate Charge Amplification , 1976, IEEE Transactions on Nuclear Science.

[6] E. M. Gelbard,et al. The Synthetic Method as Applied to the S n Equations , 1969 .

[7] H. J. Kopp,et al. Synthetic Method Solution of the Transport Equation , 1963 .

[8] Edward W. Larsen,et al. Diffusion-synthetic acceleration methods for discrete-ordinates problems , 1984 .

[9] W. Foell,et al. Integral Transport Theory Analysis of Central Reactivity Worth Measurements , 1971 .