[J22] A hybrid analytical discrete ordinates-response matrix constant nodal method for one-speed x,y-geometry transport problems

Journal article

Leonardo R.C. Moraes, Japan K. Patel, Ricardo C. Barros, Richard Vasques
Progress in Nuclear Energy, vol. 168, 2024, p. 104985

DOI: 10.1016/j.pnucene.2023.104985

Cite

APA Click to copy
Moraes, L. R. C., Patel, J. K., Barros, R. C., & Vasques, R. (2024). [J22] A hybrid analytical discrete ordinates-response matrix constant nodal method for one-speed x,y-geometry transport problems. Progress in Nuclear Energy, 168, 104985. https://doi.org/10.1016/j.pnucene.2023.104985

Chicago/Turabian Click to copy
Moraes, Leonardo R.C., Japan K. Patel, Ricardo C. Barros, and Richard Vasques. “[J22] A Hybrid Analytical Discrete Ordinates-Response Matrix Constant Nodal Method for One-Speed x,y-Geometry Transport Problems.” Progress in Nuclear Energy 168 (2024): 104985.

MLA Click to copy
Moraes, Leonardo R. C., et al. “[J22] A Hybrid Analytical Discrete Ordinates-Response Matrix Constant Nodal Method for One-Speed x,y-Geometry Transport Problems.” Progress in Nuclear Energy, vol. 168, 2024, p. 104985, doi:10.1016/j.pnucene.2023.104985.

BibTeX Click to copy

@article{leonardo2024a,
  title = {[J22] A hybrid analytical discrete ordinates-response matrix constant nodal method for one-speed x,y-geometry transport problems},
  year = {2024},
  journal = {Progress in Nuclear Energy},
  pages = {104985},
  volume = {168},
  doi = {10.1016/j.pnucene.2023.104985},
  author = {Moraes, Leonardo R.C. and Patel, Japan K. and Barros, Ricardo C. and Vasques, Richard}
}

ABSTRACT: This paper describes a hybrid method combining the Analytical Discrete Ordinates-Constant Nodal (ADO-CN) method and the Response Matrix-Constant Nodal (RM-CN) method for solving numerically one-speed X,Y-geometry discrete ordinates transport problems. This hybrid method (ADO-RM-CN) aims at exploring the main advantages of both methods; in other words, as with the ADO-CN method, the use of angular quadrature schemes is defined in the semi-interval, which generates eigenvalue problems whose order is half of the number of discrete directions; as with the RM-CN method, its capacity to generate numerical results without the need of explicitly determining the homogeneous and particular components of the general solution. We present numerical results to analyze the efficiency of the ADO-CN and RM-CN computer codes and to illustrate that the ADO-RM-CN code can be more efficient than the non-hybrid ADO-CN and RM-CN codes individually. Efficiency in this work is characterized by the accuracy of the generated solution, taking into account the running time and memory usage of the computer programs written to implement the aforementioned methods.