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Solving the Neutron Transport Equation Using Unstructured Spatio-temporal Elements by the Direct Discrete Method (DDM)

Meftahi, Mohammad | 2018

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 51837 (46)
  4. University: Sharif University of Technology
  5. Department: Energy Engineering
  6. Advisor(s): Vosoughi, Naser
  7. Abstract:
  8. Nowadays, the use of numerical methods is very common in solving complex equations, and various methods have been developed in this field. One of the new methods in this field, is the direct discrete method(DDM), Which was initially used to solve the electromagnetic field equations. In the past years, this method has been used to discretization some of the neutronics equations and acceptable results are recorded. So that the convergence order for the neutron diffusion equation in this method is higher than other numerical methods. In this method the geometry of the problem is divided into primary and secondary cell that primary cell platform is fixed but there is the possibility of making changes to the secondary cell. In this research, we have tried to initially compile all principles of this method for describing the neutron transport equation, And then, in three different situations, the neutron transport equation is solved. The first case is the point kinetics of the transport equation which has been directly discereted by using principles of the production and annihilation of neutrons and a few sample problems have been solved by using the generated equations programming The second case is an independent transport equation of time, Which is two-dimensionally linearized, direct discretization of this section is done using equivalent operators and at the end involves solving a few sample problems. And the last case of transport equations is spatio-temporal. In this section, we try to examine time structures in a new way and time like spatial dimensions has the ability to move past. The privileged features of this section are non-structured definition of spatio-temporal elements, Which will be very effective in difficult geometries and complex time variations. Formulation and programming of this section and the results obtained from it, for a full absorber sample, there was an acceptable agreement with the analytical results of the neutron transport equation
  9. Keywords:
  10. Direct Discrete Method ; Transport Equation ; Neutron Transport ; Primary Mesh ; Dual Mesh ; Point Kinetics Model ; Spatio-Temporal Elements

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