Accession Number:
AD0419310
Title:
AN INVESTIGATION OF CONVERGENCE TECHNIQUES FOR IMPLICIT NUMERICAL SOLUTION OF THE DIFFUSION EQUATION FOR TRANSIENT HEAT TRANSFER
Descriptive Note:
Master's thesis
Corporate Author:
AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH
Personal Author(s):
Report Date:
1963-08-01
Pagination or Media Count:
178.0
Abstract:
The practical application of two convergence techniques designed to increase the rate of convergence of the method of successive displacements Gauss-Siedel for the implicit numerical solution of the diffusion equation of transient heat transfer is investigated. A sample problem of determining the temperature distribution in a cube with a constant internal heat source and fixed boundary temperatures is solved to provide the necessary data. The results provide a theoreticas for the adapted Wegstein technique. This theoretical basis brings to light the fact that successive overrelaxation and the adapted Wegstein technique are based on the same theoretical background. A procedure based on estimating the maximum eigenvalue of the method of successive displacements is used to make an approximation of the relaxation factor for successive overrelaxation.
Descriptors:
Subject Categories:
- Thermodynamics