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Investigation of Direct Discrete Method (DDM) for Transport Equation Solution in two Dimensional & Two-Dimensional Generalized Geometery

Gharani, Morteza | 2016

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 48040 (46)
  4. University: Sharif University of Technology
  5. Department: Energy Engineering
  6. Advisor(s): Vosoughi, Naser
  7. Abstract:
  8. The emergence of complex equations in engineering sciences leads to development of numerical methods for solving these equations. Obviously, each of the proposed Algorithms and various methods in this field were evaluated according to the limitations of time, software and hardware and based on these limitations the advantages and disadvantages of these methods were determined. Direct Discrete method is one of the modern methods used in solving the conservation equations. In this method, in addition to the advantages of numerical methods, equations will be produced in discrete space to avoid involving with differential equations. This method was first studied in the field equations. The method has proven effective in neutron calculation and indicates the high level of convergence in solving steady-state distribution equations and neutron transport than other available methods. The purpose of this research is to study Direct Discrete method in solving neutron transport equation in two-dimensional and extended two-dimensional geometry. To reach this purpose, direct discretization of spatial and angle variables and also direct discretization of spatial variable in combination with discretization angle variable with S_N method will be used. Finally, these mentioned methods were used in the form of a software to solve several sample problems
  9. Keywords:
  10. Direct Discrete Method ; Transport Equation ; Primary Mesh ; Dual Mesh ; Interpolation

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