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http://dx.doi.org/10.7733/jnfcwt.2018.16.2.203

A Study on Diffusion Approximations to Neutron Transport Boundary Conditions  

Noh, Taewan (Hongik University)
Publication Information
Journal of Nuclear Fuel Cycle and Waste Technology(JNFCWT) / v.16, no.2, 2018 , pp. 203-209 More about this Journal
Abstract
To correctly predict the neutron behavior based on diffusion calculations, it is necessary to adopt well-specified boundary conditions using suitable diffusion approximations to transport boundary conditions. Boundary conditions such as the zero net-current, the Marshak, the Mark, the zero scalar flux, and the Albedo condition have been used extensively in diffusion theory to approximate the reflective and vacuum conditions in transport theory. In this paper, we derive and analyze these conditions to prove their mathematical validity and to understand their physical implications, as well as their relationships with one another. To show the validity of these diffusion boundary conditions, we solve a sample problem. The results show that solutions of the diffusion equation with these well-formulated boundary conditions are very close to the solution of the transport equation with transport boundary conditions.
Keywords
Neutrons; Transport; Diffusion; Boundary conditions; Nuclear fuel cycle;
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