[J15] Modified Fokker-Planck acceleration for forward-peaked transport problems in slab geometry

Journal article

John J. Kuczek, Japan K. Patel, Richard Vasques
Journal of Computational and Theoretical Transport, vol. 50(5), 2021, pp. 430-453

DOI: 10.1080/23324309.2021.1894174

Cite

APA Click to copy
Kuczek, J. J., Patel, J. K., & Vasques, R. (2021). [J15] Modified Fokker-Planck acceleration for forward-peaked transport problems in slab geometry. Journal of Computational and Theoretical Transport, 50(5), 430–453. https://doi.org/10.1080/23324309.2021.1894174

Chicago/Turabian Click to copy
Kuczek, John J., Japan K. Patel, and Richard Vasques. “[J15] Modified Fokker-Planck Acceleration for Forward-Peaked Transport Problems in Slab Geometry.” Journal of Computational and Theoretical Transport 50, no. 5 (2021): 430–453.

MLA Click to copy
Kuczek, John J., et al. “[J15] Modified Fokker-Planck Acceleration for Forward-Peaked Transport Problems in Slab Geometry.” Journal of Computational and Theoretical Transport, vol. 50, no. 5, 2021, pp. 430–53, doi:10.1080/23324309.2021.1894174.

BibTeX Click to copy

@article{john2021a,
  title = {[J15] Modified Fokker-Planck acceleration for forward-peaked transport problems in slab geometry},
  year = {2021},
  issue = {5},
  journal = {Journal of Computational and Theoretical Transport},
  pages = {430-453},
  volume = {50},
  doi = {10.1080/23324309.2021.1894174},
  author = {Kuczek, John J. and Patel, Japan K. and Vasques, Richard}
}

ABSTRACT: This paper introduces a new acceleration technique for the convergence of the solution of transport problems with highly forward-peaked scattering. The technique is similar to a conventional high-order/low-order (HOLO) acceleration scheme. The Fokker-Planck equation, which is an asymptotic limit of the transport equation in highly forward-peaked settings, is modified and used for acceleration; this modified equation preserves the angular flux and moments of the (high-order) transport equation. We present numerical results using the Screened Rutherford, Exponential, and Henyey–Greenstein scattering kernels and compare them to established acceleration methods such as diffusion synthetic acceleration (DSA). We observe three to four orders of magnitude speed-up in wall-clock time compared to DSA.