Journal article
J. K. Patel, L. R. C. Moraes, R. Vasques, R. C. Barros
J. Comput. Appl. Math., vol. 401, North-Holland, 2022 Feb, p. 113768
J. Comput. Appl. Math., vol. 401, North-Holland, 2022 Feb, p. 113768
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APA
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Patel, J. K., Moraes, L. R. C., Vasques, R., & Barros, R. C. (2022). Transport synthetic acceleration for the solution of the one-speed nonclassical spectral SN equations in slab geometry. J. Comput. Appl. Math., 401, 113768. https://doi.org/10.1016/j.cam.2021.113768
Chicago/Turabian
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Patel, J. K., L. R. C. Moraes, R. Vasques, and R. C. Barros. “Transport Synthetic Acceleration for the Solution of the One-Speed Nonclassical Spectral SN Equations in Slab Geometry.” J. Comput. Appl. Math. 401 (February 2022): 113768.
MLA
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Patel, J. K., et al. “Transport Synthetic Acceleration for the Solution of the One-Speed Nonclassical Spectral SN Equations in Slab Geometry.” J. Comput. Appl. Math., vol. 401, North-Holland, Feb. 2022, p. 113768, doi:10.1016/j.cam.2021.113768.
BibTeX Click to copy
@article{patel2022a,
title = {Transport synthetic acceleration for the solution of the one-speed nonclassical spectral SN equations in slab geometry},
year = {2022},
month = feb,
journal = {J. Comput. Appl. Math.},
pages = {113768},
publisher = {North-Holland},
volume = {401},
doi = {10.1016/j.cam.2021.113768},
author = {Patel, J. K. and Moraes, L. R. C. and Vasques, R. and Barros, R. C.},
month_numeric = {2}
}
Abstract
The nonclassical transport equation models particle transport processes in which the particle flux does not decrease as an exponential function of the particle’s free-path. Recently, a spectral approach was developed to generate nonclassical spectral SN equations, which can be numerically solved in a deterministic fashion using classical numerical techniques. This paper introduces a transport synthetic acceleration procedure to speed up the iteration scheme for the solution of the monoenergetic slab-geometry nonclassical spectral SN equations. We present numerical results that confirm the benefit of the acceleration procedure for this class of problems.