2012•Nuclear Science and EngineeringRequires access

Semi-analytic nodal methods for neutron transport SP_3 equation

Zhiyong Li

Abstract

Neutron transport simplified P3(SP3) equation which is an approximation to the neutron transport PN equation,can be transferred to a format similar to the traditional neutron diffusion equation.Solving the SP3 equation is implemented by semi-analytic nodal method which is one of the effective nodal method,and also by coarse mesh finite difference(CMFD) method with fine mesh finite difference(FMFD) format.By numerical analysis of NEACRP L-336 benchmark(modified),it is demonstrated that pin-by-pin nodal calculation can obtain almost the same result as FMFD,but pin-by-pin CMFD result has some deviation to the FMFD result.

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Available abstract

Key concepts: Neutron transport, Modified nodal analysis, Finite difference method, Neutron, Diffusion equation, Benchmark (surveying), Convection–diffusion equation, Finite difference