Finite Element Solution of a Three-Dimensional Nonlinear Reactor Dynamics Problem with Feedback.

Abstract

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)

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1976
Accession Number
ADA038775

Entities

People

  • Eulogio Conception Bermudes

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Air Platforms
  • C4I

DTIC Thesaurus Topics

  • Computer Programs
  • Computers
  • Differential Equations
  • Equations
  • Fast Reactors
  • Finite Element Analysis
  • Geometry
  • Mechanical Engineering
  • Molecular Orbital Theory
  • Nuclear Reactors
  • Numerical Integration
  • Operating Systems
  • Partial Differential Equations
  • Perturbations
  • Physical Properties
  • Three Dimensional
  • Two Dimensional

Readers

  • Control Systems Engineering.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Nuclear and Radiation Engineering.