Nonlinear Solution of the Time Eigenvalue of a Fast Burst Reactor Using the Finite Volume Method

Abstract

This effort models fast burst reactors using the one dimensional, one group neutron diffusion equation to solve for the time eigenvalue, a method for which an analytical solution exists against which the numerical results can be verified. An existing solution method is enhanced by the addition of a second order accurate xC;finite volume discretization, which is then used to model two separate fast burst reactors. The results of these models are then compared to the results of previous work, the analytical solution, and existing experimental burst width data for each of the two reactors.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Mar 21, 2021
Accession Number
AD1129076

Entities

People

  • Stephen H. Baxter

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Counter WMD
  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Accuracy
  • Air Force
  • Algorithms
  • Boltzmann Equation
  • Cartesian Coordinates
  • Chebyshev Polynomials
  • Computational Science
  • Coordinate Systems
  • Department Of Defense
  • Differential Equations
  • Diffusion
  • Eigenvalues
  • Eigenvectors
  • Engineering
  • Equations
  • Governments
  • Nuclear Materials
  • Nuclear Reactions
  • Nuclear Reactors
  • Numerical Analysis
  • Simulations
  • Three Dimensional
  • United States
  • United States Government

Fields of Study

  • Mathematics

Readers

  • Computational Fluid Dynamics (CFD)
  • Nuclear and Radiation Engineering.
  • Plasma Physics / Magnetohydrodynamics