중성자 수송경계조건의 확산근사에 대한 연구A Study on Diffusion Approximations to Neutron Transport Boundary Conditions
- Other Titles
- A Study on Diffusion Approximations to Neutron Transport Boundary Conditions
- Authors
- 노태완
- Issue Date
- 2018
- Publisher
- 한국방사성폐기물학회
- Keywords
- 중성자; 수송; 확산; 경계조건; 핵연료주기; Neutrons; Transport; Diffusion; Boundary conditions; Nuclear fuel cycle
- Citation
- 방사성폐기물학회지, v.16, no.2, pp.203 - 209
- Journal Title
- 방사성폐기물학회지
- Volume
- 16
- Number
- 2
- Start Page
- 203
- End Page
- 209
- URI
- https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/4497
- DOI
- 10.7733/jnfcwt.2018.16.2.203
- ISSN
- 1738-1894
- 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.
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