Particle Transport Theory in a Finite Sphere Containing a Spherical-Shell Source

C. E. Siewert; J. R. Thomas, Jr.

doi:dx.doi.org/10.13182/NSE84-285

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Home / Publications / Journals / Nuclear Science and Engineering / Volume 84 / Number 3

Particle Transport Theory in a Finite Sphere Containing a Spherical-Shell Source

C. E. Siewert, J. R. Thomas, Jr.

Nuclear Science and Engineering / Volume 84 / Number 3 / July 1983 / Pages 285-290

Technical Paper / dx.doi.org/10.13182/NSE84-285

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The method of elementary solutions is used to compute the radiation field due to a spherical-shell source located in a finite sphere. In addition, exact analysis and the F_N method are used to establish an approximate solution that can be evaluated with modest computational effort to yield results accurate to five significant figures.