26
Views
6
CrossRef citations to date
0
Altmetric
Technical Paper

A Diffusion Synthetic Acceleration Method for Block Adaptive Mesh Refinement

, &
Pages 164-179 | Published online: 10 Apr 2017

References

  • RANDAL S. BAKER, “A Block Adaptive Mesh Refinement Algorithm for the Neutral Particle Transport Equation,” Nucl. Sci. Eng., 141, 1 (2002).
  • G. L. RAMONE, M. L. ADAMS, and P. F. NOWAK, “A Transport Synthetic Acceleration Method for Transport Iterations,” Nucl. Sci. Eng., 125, 257 (1997).
  • R. E. ALCOUFFE, R. S. BAKER, S. A. TURNER, and J. A. DAHL, “PARTISN: A Time Dependent, Parallel Neutral Particle Transport Code System,” LA-UR-02-5633, Los Alamos National Laboratory (2002).
  • R. E. ALCOUFFE, “Diffusion Synthetic Acceleration Methods for the Diamond-Differenced Discrete-Ordinates Equations,” Nucl. Sci. Eng., 64, 344 (1977)
  • F. OGANDO and P. VELARDE, “Development of a Radiation Transport Fluid Dynamic Code Under AMR Scheme,” J. Quant. Spec. & Rad. Trans., 71, 541 (2001).
  • E. E. LEWIS and W. F. MILLER, Jr., Computational Methods of Neutron Transport, American Nuclear Society, La Grange Park, Illinois (1993).
  • M. L. ADAMS and E. W. LARSEN, “Fast Iterative Methods for Discrete-Ordinates Particle Transport Calculations,” Prog. Nucl. Energy, 40, 1, 3 (2002).
  • N. OTTOSEN and H. PETERSSON, Introduction to the Finite Element Method, Prentice Hall, New York (1992).
  • S. A. TURNER, “Automatic Mesh Coarsening for Discrete Ordinates Codes,” Int. Conf. Mathematics and Computations (MandC’99), September 27–30, 1999, Madrid, Spain.
  • W. H. PRESS et al., Numerical Recipes: The Art of Scientific Computing, Cambridge University Press, Cambridge (1986).
  • E. W. LARSEN, “The Asymptotic Diffusion Limit of Discretized Transport Problems,” Nucl. Sci. Eng., 112, 336 (1992).
  • R. E. ALCOUFFE, A. BRANDT, J. E. DENDY, and J. W. PAINTER, “The Multi-Grid Method for the Diffusion Equation with Strongly Discontinuous Coefficients,” SIAM J. Sci. Stat. Comput., 2, 4, 430 (1981).
  • Y. SAAD, Iterative Methods for Sparse Linear Systems, Society for Industrial and Applied Mathematics, Philadelphia, Pennsylvania (2003).

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.