Marshak Conditions Applicable in Spherical Geometry to the Simplified Spherical Harmonics Equations

Alan Staub; E. M. Gelbard

doi:dx.doi.org/10.13182/NSE72-A22494

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Home / Publications / Journals / Nuclear Science and Engineering / Volume 48 / Number 3

Marshak Conditions Applicable in Spherical Geometry to the Simplified Spherical Harmonics Equations

Alan Staub, E. M. Gelbard

Nuclear Science and Engineering / Volume 48 / Number 3 / July 1972 / Pages 359-361

Technical Note / dx.doi.org/10.13182/NSE72-A22494

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The application of the simplified spherical harmonics (SSH) method for neutron transport calculations of critical homogeneous spheres of aqueous solutions of uranium has been reexamined to estimate the error introduced by the use of the simplified P₇ approximation. Recalculation of the critical spheres in the SSH-P₇ approximation with modified Marshak boundary conditions showed that no substantial error was introduced in the earlier analysis.