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Title

‎Investigation of the use of momentum and Galerkin weighting functions in high-order Nodal expansion method to solve the neutron diffusion equation

Year: 1401
COI: JR_RPE-3-3_006
Language: EnglishView: 42
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Authors

Ali Kolali - Department of Energy Engineering‎, ‎Sharif University of Technology‎, ‎P.O‎. ‎Box ۱۴۵۶۵-۱۱۱۴‎, ‎Tehran‎, ‎Iran
Davod Naghavi Dizaji - Department of Energy Engineering‎, ‎Sharif University of Technology‎, ‎P.O‎. ‎Box ۱۴۵۶۵-۱۱۱۴‎, ‎Tehran‎, ‎Iran
Naser Vosoughi - Department of Energy Engineering‎, ‎Sharif University of Technology‎, ‎P.O‎. ‎Box ۱۴۵۶۵-۱۱۱۴‎, ‎Tehran‎, ‎Iran

Abstract:

In this study, after discretization of the neutron diffusion equation and adjoint with high-order nodal expansion method in two dimensions and two energy groups, calculations with Momentum and Galerkin weighting functions for rectangular geometry (BIBLIS-۲D) and hexagonal geometry (IAEA-۲D) reactors are performed. The mean of relative power error for Momentum and Galerkin weighting functions was calculated in BIBLIS-۲D reactor ۰.۴۲% and ۰.۶۲%, respectively, and for IAEA-۲D reactor ۴.۹۶% and ۳.۵۲%, respectively. Regarding the results, it was concluded that in order to increase accuracy with the acceptable time of computing (۴ Seconds for rectangular geometry and ۲۸ seconds for hexagonal geometry with Intel® Core™ i۷-۴۵۱۰U Processor), the Momentum weighting function for rectangular geometry and the Galerkin weighting function for hexagonal geometry can be used to discretize equations without reducing the node size. Therefore, to increase the accuracy while maintaining the speed of calculations, without reducing the size of nodes, the appropriate weighting function can be used in discretization, which can be very useful in performing calculations of different transients.

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Paper COI Code

This Paper COI Code is JR_RPE-3-3_006. Also You can use the following address to link to this article. This link is permanent and is used as an article registration confirmation in the Civilica reference:

https://civilica.com/doc/1474128/

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If you want to refer to this Paper in your research work, you can simply use the following phrase in the resources section:
Kolali, Ali and Naghavi Dizaji, Davod and Vosoughi, Naser,1401,‎Investigation of the use of momentum and Galerkin weighting functions in high-order Nodal expansion method to solve the neutron diffusion equation,https://civilica.com/doc/1474128

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  • Bell, G. I. and Glasstone, S. (۱۹۷۰). Nuclear reactor theory. ...
  • Chao, Y. A. and Shatilla, Y. (۱۹۹۵). Conformal mapping and ...
  • Finnemann, H. (۱۹۷۵). A consistent Nodal Method for the Analysis ...
  • Grundmann, U. and Hollstein, F. (۱۹۹۹). A two-dimensional intranodal flux ...
  • Hall, S. (۲۰۱۳). The Development of a Nodal Method for ...
  • Hebert, A. (۲۰۰۸). A Raviart–Thomas–Schneider solution of the diffusion equation ...
  • Hosseini, S. A. and Vosoughi, N. (۲۰۱۲). Neutron noise simulation ...
  • Hosseini, S. A., Vosoughi, N., and Vosoughi, J. (۲۰۱۸). Neutron ...
  • Kolali, A., Naghavi, D., and Vosoughi, N. (۲۰۱۹). Development of ...
  • Kolali, A., Naghavi, D., and Vosoughi, N. (۲۰۲۰). Development of ...
  • Kolali, A., Vosoughi, J., and Vosoughi, N. (۲۰۲۱). Development of ...
  • Lawrence, R. D. (۱۹۸۳). DIF۳D nodal neutronics option for two-and ...
  • Putney, J. (۱۹۸۶). A hexagonal geometry nodal expansion method for ...
  • Sims, R. N. (۱۹۷۷). A coarse-mesh nodal diffusion method based ...
  • Smith, K. S. (۱۹۷۹). An analytic nodal method for solving ...

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Type of center: دانشگاه دولتی
Paper count: 15,066
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