A Review of the Upstream Corner Balance Spatial Discretization Conference Paper uri icon

abstract

  • - In this work, we document two variations of upstream corner balance (UCB) spatial discretizations for the linear Boltzmann equation. The first variant of UCB was published in 1997 by Adams, the second variant fixes a flaw discovered with the original UCB discovered in 2005. The second variant of UCB has never been published. Computational results are presented to: demonstrate the equivalence of the two UCB methods in slab geometry, verify that the second variant of UCB corrects the multi-dimensional flaw of the original UCB, and explore the accuracy of UCB relative to the more rigorously defined bilinear discontinuous finite element spatial discretizations.

name of conference

  • International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering

published proceedings

  • MATHEMATICS AND COMPUTATIONAL METHODS APPLIED TO NUCLEAR SCIENCE AND ENGINEERING. INTERNATIONAL CONFERENCE. 2017. (M&C 2017)

author list (cited authors)

  • Maginot, P. G., Nowak, P. F., & Adams, M. L.

complete list of authors

  • Maginot, PG||Nowak, PF||Adams, Marvin L

publication date

  • April 2017