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


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.

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.