A SOLUTION OF THE NEUTRON-TRANSPORT EQUATION USING SPHERICAL-HARMONICS
A SOLUTION OF THE NEUTRON-TRANSPORT EQUATION USING SPHERICAL-HARMONICS
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DOI：
10.1088/0305-4470/16/12/028
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发表时间：
1983-01-01
期刊：
影响因子：
--
通讯作者：
FLETCHER, JK
中科院分区：
文献类型：
--
作者：
FLETCHER, JK
A solution of the neutron transport equation is obtained by expanding the flux Phi (r Omega) at position r in direction Omega as a series of the form: Phi (r, Omega)= Sigma l= 0 N (2l+ 1) Sigma m= 0 l P l m (cos theta)(psi lm (r) cos (m phi)+ gamma lm (r) sin (m phi)) where P l m (cos theta) is the associated Legendre polynomial of order l, m with theta and phi the axial and azimuthal angles, respectively, of Omega. psi lm (r) and gamma lm (r) satisfy first-order differential equations and are determined by eliminating terms with odd l and then using finite-difference or finite-element techniques on the resulting second-order system. Complicated algebra is involved in deriving this latter set of relations and FORTRAN subroutines have been written to calculate the necessary coefficients and specify the relevant differentials.
