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The CN Method of Solving the Transport Equation: Application to Cylindrical Geometry

Alain Kavenoky

Nuclear Science and Engineering / Volume 65 / Number 3 / March 1978 / Pages 514-531

Technical Paper / dx.doi.org/10.13182/NSE78-A27182

The CN method of solving the transport equation is applied to one-velocity classical problems in cylindrical geometry. The cylindrical angular Green's function is calculated first, the inner and outer albedo problems are solved, and numerical results are obtained and compared with reference results. The extrapolation length for the cylindrical Milne problem is calculated, and accurate results are presented. Finally, the determination of the critical radius for multiplying media is treated.