Richard Vasques

Assistant Professor of Nuclear Engineering

[J16] Transport synthetic acceleration for the solution of the one-speed nonclassical spectral SN equations in slab geometry

Journal article

Japan K. Patel, Leonardo R. C. Moraes, Richard Vasques, Ricardo C. Barros
Journal of Computational and Applied Mathematics, vol. 401(-), 2022 , p. 113768
DOI: 10.1016/j.cam.2021.113768
Cite

Cite

APA
Patel, J. K., Moraes, L. R. C., Vasques, R., & Barros, R. C. (2022). [J16] Transport synthetic acceleration for the solution of the one-speed nonclassical spectral SN equations in slab geometry. Journal of Computational and Applied Mathematics, 401(-), 113768.

Chicago/Turabian
Patel, Japan K., Leonardo R. C. Moraes, Richard Vasques, and Ricardo C. Barros. “[J16] Transport Synthetic Acceleration for the Solution of the One-Speed Nonclassical Spectral SN Equations in Slab Geometry.” Journal of Computational and Applied Mathematics 401, no. - (December 2022): 113768.

MLA
Patel, Japan K., et al. “[J16] Transport Synthetic Acceleration for the Solution of the One-Speed Nonclassical Spectral SN Equations in Slab Geometry.” Journal of Computational and Applied Mathematics, vol. 401, no. -, Dec. 2022, p. 113768.

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.