The simplified P2 approximation

The simplified P 2 (SP 2 ) approximation to the transport equation is derived by a formal procedure and by a variational analysis. The variational analysis yields the SP 2 equations, together with interface and Marshak-like boundary conditions. Numerical calculations show that the resulting SP 2 solution is generally more accurate than the P 1 solution for both integral quantities and detailed flux distributions, except near material interfaces, where the SP 2 solution is discontinuous.

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