## Abstract

A generalization is made of a previous phase-space finite element approximation of the second-order form of the one-group, two-dimensional neutron transport equation in x-y geometry. Three angular approximations are formulated and compared: continuous piecewise bilinear finite element, piecewise constant finite element, and discrete ordinate. These are incorporated into a unified formalism of discrete ordinate-like equations, enabling the spatial variables to be treated identically using piecewise linear or bilinear finite elements. The resulting equations are solved iteratively by a weighted conjugate gradient method in an improved version of the computer code FENT. Numerical and analytical comparisons of the angular approximations are made.

Original language | English (US) |
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Pages (from-to) | 205-217 |

Number of pages | 13 |

Journal | Nuclear Science and Engineering |

Volume | 57 |

Issue number | 3 |

DOIs | |

State | Published - 1975 |

## ASJC Scopus subject areas

- Nuclear Energy and Engineering