RT Journal Article
T1 Numerical Solution of the Azimuth-Dependent Fokker-Planck Equation in 1D Slab Geometry
A1 López Pouso, Óscar
A1 Jumaniyazov, Nizomjon
K1 Transport problem
K1 Fokker–Planck equation
K1 Finite difference method
K1 Fourier expansion
K1 Continuous scattering operator
K1 Degenerate PDE with singular coefficients
K1 Forward–backward PDE
K1 Charged particles
K1 Electrons
K1 Heavy ions
K1 Surface PDEs
AB This paper is devoted to solve the steady monoenergetic Fokker-Planck equation in the 1D slab when the incoming fluxes and the source term are allowed to depend on the azimuth θ. The problem is split into a collection of θ-independent problems for the Fourier coefficients of the full solution. The main difficulty is that, except for the zeroth Fourier coefficient, each of these problems contains an artificial absorption coefficient which is singular at the poles. Two numerical schemes capable of dealing with the singularities are proposed: one that is considered as the main scheme, and a second ‘security’ scheme which is used to verify that the results obtained by means of the first one are reliable. Numerical experiments showing second order of convergence are conducted and discussed.
PB Taylor & Francis
SN 2332-4325
YR 2021
FD 2021-03-16
LK https://hdl.handle.net/10347/38254
UL https://hdl.handle.net/10347/38254
LA eng
NO López Pouso, Ó., & Jumaniyazov, N. (2021). Numerical Solution of the Azimuth-Dependent Fokker-Planck Equation in 1D Slab Geometry. Journal of Computational and Theoretical Transport, 50(2), 102-133. https://doi.org/10.1080/23324309.2021.1896554
NO This is an original manuscript of an article published by Taylor & Francis in Journal of Computational and Theoretical Transport on 16 Mar 2021, available at: https://doi.org/10.1080/23324309.2021.1896554
NO This work was co-financed by the European Regional Development Fund (ERDF) and the Xunta de Galicia under the GRC2013-014 grant, and by the Spanish Ministry of Science, Innovation and Universities under the MTM2017-86459-R grant.
DS Minerva
RD 24 abr 2026