A Comparison of the Finite Difference and Finite Element Methods for the Solution of the Transient Heat Conduction Equation with Temperature-Dependent Conductivity.

Abstract

The transient heat conduction equation with a nonlinear conductivity is solved using three finite difference schemes and two finite element schemes. The schemes are compared for speed and accuracy against an analytic solution. The finite element methods are shown to be the most accurate and one, a lumped mass method, is comparable in speed to the finite difference methods. The lumped mass finite element method is shown to be the clear choice from among the methods tested in solving the test problem. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1982
Accession Number
ADA124918

Entities

People

  • Michael J. Sabochick

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Air Force
  • Boundaries
  • Computers
  • Difference Equations
  • Differential Equations
  • Engineering
  • Equations
  • Finite Element Analysis
  • Heat Transfer
  • New York
  • Numerical Analysis
  • Numerical Integration
  • Specific Heat
  • Standards
  • Thermal Conductivity
  • Two Dimensional

Readers

  • Calculus or Mathematical Analysis
  • Control Systems Engineering.
  • Thermal Physics or Thermal Science.