@inproceedings{9005cad969cb4ba491ad2a68f52d5a13,

title = "Sweepless time-dependent transport simulations using the Staggered-Block Jacobi method",

abstract = "The Staggered-Block Jacobi (SBJ) method is a new numerical SN transport method for solving time-dependent problems without sweeps or low-order acceleration. Because it is a Jacobian method, it is trivial to parallelize and will scale linearly with the number of processors. It is highly accurate in thick-diffusive problems and unconditionally stable when combined with the lumped linear discontinuous finite element spatial discretization. In this way, the SBJ method is complementary to sweep-based methods, which are accurate and efficient in thin, streaming regions but inefficient in thick, diffusive problems without acceleration. We have extended previous work by demonstrating how sweep-based methods and the SBJ method may be combined to produce a method which is accurate and efficient without acceleration in all optical thicknesses while still retaining good parallel efficiency. Furthermore, iterations may also be added to the SBJ method. This is particularly useful for improving the accuracy of the SBJ method in intermediate-thickness problems.",

keywords = "Jacobi, Time-dependent, Transport",

author = "G. Davidson and Larsen, {E. W.}",

year = "2009",

language = "English",

isbn = "9781615673490",

series = "American Nuclear Society - International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009",

pages = "3331--3344",

booktitle = "American Nuclear Society - International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009",

note = "International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009 ; Conference date: 03-05-2009 Through 07-05-2009",

}