Finite Element Solution Of A Three Dimensional Nonlinear Reactor Dynamics Problem With Feedback PDF Download
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Author | : |
Publisher | : |
Total Pages | : 0 |
Release | : 1976 |
Genre | : |
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Download Finite Element Solution of a Three-Dimensional Nonlinear Reactor Dynamics Problem with Feedback Book in PDF, ePub and Kindle
This work examines the three-dimensional dynamic response of a nonlinear fast reactor with temperature-dependent feedback and delayed neutrons when subjected to uniform and local disturbances. The finite element method was employed to reduce the partial differential reactor equation to a system of ordinary differential equations which can be numerically integrated. A program for the numerical solution of large sparse systems of stiff differential equations developed by Franke and based on Gear's method solved the reduced neutron dynamics equation. Although a study of convergence by refining element mesh sizes was not carried out, the crude finite element mesh utilized yielded the correct trend of neutron dynamic behavior. (Author).
Author | : Eulogio Conception Bermudes |
Publisher | : |
Total Pages | : 160 |
Release | : 1976 |
Genre | : Mechanical engineering |
ISBN | : |
Download Finite Element Solution of a Three-Dimensional Nonlinear Reactor Dynamics Problem with Feedback Book in PDF, ePub and Kindle
This work examines the three-dimensional dynamic response of a nonlinear fast reactor with temperature-dependent feedback and delayed neutrons when subjected to uniform and local disturbances. The finite element method was employed to reduce the partial differential reactor equation to a system of ordinary differential equations which can be numerically integrated. A program for the numerical solution of large sparse systems of stiff differential equations developed by Franke and based on Gear's method solved the reduced neutron dynamics equation. Although a study of convergence by refining element mesh sizes was not carried out, the crude finite element mesh utilized yielded the correct trend of neutron dynamic behavior. (Author).
Author | : Richard Allen Olsen |
Publisher | : |
Total Pages | : 122 |
Release | : 1975 |
Genre | : Mechanical engineering |
ISBN | : |
Download Effective Methods for Solution of Nonlinear Reactor Dynamics Problems Using Finite Elements Book in PDF, ePub and Kindle
The solution of the nonlinear two-dimensional reactor dynamics equation subjected to prompt feedback conditions using the finite element technique leads to a matrix formulation. The task of this thesis is the development of computational techniques which allow the problem to be solved for large systems. Specifically, these techniques are: (1) the treatment of the nonlinearity on the element level, (2) the compacting of the sparce matrices to include only non-zero terms, and (3) the construction of a new computer code based on the Crank-Nicolson formulation for the solution of differential equations. To support the theory presented, test problems were solved by the original method, the linearized technique, and the Crank-Nicolson treatment. The results were analyzed and compared graphically. All three of the innovations developed in this thesis appear to be useful tools for solving nonlinear time dependent differential equations.
Author | : Reza Khazaneh |
Publisher | : |
Total Pages | : 344 |
Release | : 1974 |
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Download The Application of the Finite Element Method to Some Nonlinear Feedback Problems of Space-time Reactor Dynamics Book in PDF, ePub and Kindle
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Total Pages | : 1744 |
Release | : 1982 |
Genre | : Power resources |
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Author | : |
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Total Pages | : 276 |
Release | : 1974 |
Genre | : Mechanics, Applied |
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Total Pages | : 612 |
Release | : 1976 |
Genre | : Nuclear energy |
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Total Pages | : 272 |
Release | : 1991 |
Genre | : Aeronautics |
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Author | : United States. Energy Research and Development Administration |
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Total Pages | : 800 |
Release | : 1977 |
Genre | : Medicine |
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Download ERDA Energy Research Abstracts Book in PDF, ePub and Kindle
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Total Pages | : 280 |
Release | : 1977 |
Genre | : Computer programming |
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