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Paper Information

Journal:   JOURNAL OF NUCLEAR SCIENCE AND TECHNOLOGY   2015 , Volume - , Number 70; Page(s) 45 To 52.
 
Paper: 

ANALYTIC SOLUTION OF TWO-GROUP STATIC NEUTRON DIFFUSION EQUATION USING DIFFERENT TRANSVERSE LEAKAGE APPROXIMATIONS IN 2D CARTESIAN GEOMETRY

 
 
Author(s):  HOSSEINI M.*, KHALAFI H., ZANGIAN M.
 
* NUCLEAR SCIENCE AND TECHNOLOGY RESEARCH INSTITUTE, AEOI, TEHRAN – IRAN
 
Abstract: 

Nodal is a method for solving the neutron diffusion equation. It is categorized to analytic, semi-analytic and expansion nodal methods. In this research work, a software is developed in order to solve two group neutron diffusion equations in two dimensional Cartesian geometries. There are some approaches to the analytical solution of the neutron diffusion. An interesting approach, that is our recent concern, is the transverse leakage approximation. Based on this approximation, the two-dimensional diffusion equation is split into two one-dimensional equations and is solved analytically for each energy group. In this paper, we used flat and quadratic polynomials in order to approximate the transverse leakage terms. Finally, two reference problems are solved for verifying the proposed method. The results showed that the analytic nodal method with quadratic transverse leakage approximation gives very accurate results for the reactor core calculations.

 
Keyword(s): NEUTRON DIFFUSION EQUATION, ANALYTIC NODAL, TRANSVERSE LEAKAGE, FLAT APPROXIMATION, QUADRATIC APPROXIMATION
 
 
References: 
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Click to Cite.
APA: Copy

HOSSEINI, M., & KHALAFI, H., & ZANGIAN, M. (2015). ANALYTIC SOLUTION OF TWO-GROUP STATIC NEUTRON DIFFUSION EQUATION USING DIFFERENT TRANSVERSE LEAKAGE APPROXIMATIONS IN 2D CARTESIAN GEOMETRY. JOURNAL OF NUCLEAR SCIENCE AND TECHNOLOGY, -(70), 45-52. https://www.sid.ir/en/journal/ViewPaper.aspx?id=508450



Vancouver: Copy

HOSSEINI M., KHALAFI H., ZANGIAN M.. ANALYTIC SOLUTION OF TWO-GROUP STATIC NEUTRON DIFFUSION EQUATION USING DIFFERENT TRANSVERSE LEAKAGE APPROXIMATIONS IN 2D CARTESIAN GEOMETRY. JOURNAL OF NUCLEAR SCIENCE AND TECHNOLOGY. 2015 [cited 2021May13];-(70):45-52. Available from: https://www.sid.ir/en/journal/ViewPaper.aspx?id=508450



IEEE: Copy

HOSSEINI, M., KHALAFI, H., ZANGIAN, M., 2015. ANALYTIC SOLUTION OF TWO-GROUP STATIC NEUTRON DIFFUSION EQUATION USING DIFFERENT TRANSVERSE LEAKAGE APPROXIMATIONS IN 2D CARTESIAN GEOMETRY. JOURNAL OF NUCLEAR SCIENCE AND TECHNOLOGY, [online] -(70), pp.45-52. Available: https://www.sid.ir/en/journal/ViewPaper.aspx?id=508450.



 
 
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