Investigation on Direct Discrete Method for Neutron Transport Equation

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Ghafari, Mohsen | 2013

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 44712 (46)
University: Sharif University of Technology
Department: Energy Engineering
Advisor(s): Vosoughi, Naser; Bagher Ghofrani, Mohammad
Abstract:
Improvement of numerical solutions and application of them is very important section of engineering researches. So, there are several numerical methods and procedures for solution of equations or problems. All of them have advantages and disadvantages for selection best method. The efficiency of a method is a function of Limitation parameter like time, software and hardware. One of the recent numerical methods for engineering problems is Direct Discrete Method (DDM). This method prepares modern theory for balance equations; also this method combines some advantages of the other numerical methods like finite element and finite difference. DDM uses a double set of mesh structures namely primal and dual cells. The position of the dual mesh affects the accuracy of results. In current project the application of DDM in neutrons transport equation was discussed. It is shown that using DDM with quadratic interpolation will improve the convergence order in comparison with the other standard numerical solution. The optimization of dual mesh position shows that DDM could increase the convergence order to 3.7
Keywords:
Primary Mesh ; Dual Mesh ; Transport Equation ; Direct Discrete Method ; Neutron Transport ; Numerical Solution ; Convergence Order ; Numerical Flux