TY - GEN
T1 - Asymptotic convergence of the angular discretization error of the uncollided scalar flux in the discrete ordinates transport equation
AU - Hu, Xiaoyu
AU - Azmy, Yousry Y.
N1 - Publisher Copyright:
© 2018 International Conference on Physics of Reactors, PHYSOR 2018: Reactor Physics Paving the Way Towards More Efficient Systems. All rights reserved.
PY - 2018
Y1 - 2018
N2 - In this work, the asymptotic convergence of the angular discretization error of the un-collided scalar flux obtained from the Discrete Ordinates (SN) transport equation with increasing quadrature order is examined. Five angular quadrature types with increasing number of angles are considered including Level Symmetric (LS), Legendre-Chebyshev Quadrangular (LCQ), Legendre-Chebyshev Triangular(LCT), Quadruple Range (QR) and Quadruple Range Spence-type (QRS) quadrature sets. A test problem with a homogeneous, non-scattering medium in Cartesian geometry is utilized to investigate the uncollided flux error. The exact uncollided angular flux and the corresponding scalar flux are derived by using the integral form of the transport equation. The test results show that, the uncollided scalar flux error obtained by using LS, LCQ and LCT converges asymptotically in the source region with different rates, and such flux obtained by using QR and QRS converges faster with increasing number of angles along their path towards the asymptotic convergence regime.
AB - In this work, the asymptotic convergence of the angular discretization error of the un-collided scalar flux obtained from the Discrete Ordinates (SN) transport equation with increasing quadrature order is examined. Five angular quadrature types with increasing number of angles are considered including Level Symmetric (LS), Legendre-Chebyshev Quadrangular (LCQ), Legendre-Chebyshev Triangular(LCT), Quadruple Range (QR) and Quadruple Range Spence-type (QRS) quadrature sets. A test problem with a homogeneous, non-scattering medium in Cartesian geometry is utilized to investigate the uncollided flux error. The exact uncollided angular flux and the corresponding scalar flux are derived by using the integral form of the transport equation. The test results show that, the uncollided scalar flux error obtained by using LS, LCQ and LCT converges asymptotically in the source region with different rates, and such flux obtained by using QR and QRS converges faster with increasing number of angles along their path towards the asymptotic convergence regime.
KW - Asymptotic convergence
KW - Discrete Ordinates
KW - Uncollided scalar flux
UR - https://www.scopus.com/pages/publications/85106017622
UR - https://www.scopus.com/pages/publications/85106017622#tab=citedBy
M3 - Conference contribution
AN - SCOPUS:85106017622
T3 - International Conference on Physics of Reactors, PHYSOR 2018: Reactor Physics Paving the Way Towards More Efficient Systems
SP - 919
EP - 930
BT - International Conference on Physics of Reactors, PHYSOR 2018
PB - Sociedad Nuclear Mexicana, A.C.
T2 - 2018 International Conference on Physics of Reactors: Reactor Physics Paving the Way Towards More Efficient Systems, PHYSOR 2018
Y2 - 22 April 2018 through 26 April 2018
ER -