Accession Number : ADA115500

Title :   A Comparison of Finite-Difference Methods for the Solution of the Transient Heat Conduction Equation in Inhomogeneous Media.

Descriptive Note : Master's thesis,

Corporate Author : AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH SCHOOL OF ENGINEERING

Personal Author(s) : Blevins,Kenneth William

PDF Url : ADA115500

Report Date : Mar 1982

Pagination or Media Count : 110

Abstract : The transient heat conduction equation is solved for inhomogeneous media using the Explicit, Pure-Implicit, Crank-Nicolson and Douglas finite-difference methods, and the numerical solutions are investigated with respect to accuracy and stability. The inherent discontinuity between the initial and boundary conditions is accounted for by mesh refinement. For the two versions of the problem for which the four numerical methods are investigated, all four methods are found to be of equivalent accuracy for small values of the Fourier Modulus. While the Pure-Implicit, Crank-Nicolson and Douglas methods are unconditionally stable, the Crank-Nicolson and Douglas methods are very inaccurate at large values of the Fourier Modulus due to oscillatory behavior. (Author)

Descriptors :   *Finite difference theory, *Numerical methods and procedures, *Partial differential equations, *Conduction(Heat transfer), Difference equations, Thermal conductivity, Transients, Composite materials, Fourier transformation, Discontinuities, Computer programs, Problem solving, Boundaries, Stability, Error analysis, Theses

Subject Categories : Numerical Mathematics
      Thermodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE