Analysis of Finite Difference Approximation in a Discrete Ordinates Transport Equation in One-Dimensional Plane Geometry

V. Sundararaman; R. Vaidyanathan

doi:dx.doi.org/10.13182/NSE84-A17562

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Home / Publications / Journals / Nuclear Science and Engineering / Volume 86 / Number 3

Analysis of Finite Difference Approximation in a Discrete Ordinates Transport Equation in One-Dimensional Plane Geometry

V. Sundararaman, R. Vaidyanathan

Nuclear Science and Engineering / Volume 86 / Number 3 / March 1984 / Pages 326-331

Technical Note / dx.doi.org/10.13182/NSE84-A17562

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Spatial discretization errors in some of the recently proposed interpolation schemes are obtained directly by explicit solution of the “exact” and approximate equations in S₂ approximation. The analysis considers the effect of scattering and corresponds to the infinite iteration limit.