
Accession Number : ADA115495
Title : Convergence and Error Criteria of Iterative Numerical Solutions to the Transient Heat Conduction Equation.
Descriptive Note : Master's thesis,
Corporate Author : AIR FORCE INST OF TECH WRIGHTPATTERSON AFB OH SCHOOL OF ENGINEERING
Personal Author(s) : Warren,Robert Alan
PDF Url : ADA115495
Report Date : Mar 1982
Pagination or Media Count : 169
Abstract : Full implicit finite differencing was used to approximate transient heat conduction in two spacial dimensions. The resulting set of linear simultaneous equations was solved using successive overrelaxation iterative methods. Errors between the exact matric solution and the iterated solution were computed and compared with several methods of determining error approximations that use the displacement between iterations and an associated parameter. Fundamental parameters of the iteration matrix, such as the spectral radius, were tested as parameters in the error approximation methods. The error methods were compared with respect to accuracy, ease of computing, and computer resources required. The nodal density used in the numerical approximation to the physical problem was compared with the spectral radius of the resulting iterative matrix problem. The spectral radius increases as nodal density increases. (Author)
Descriptors : *Partial differential equations, *Thermal conductivity, Iterations, Finite difference theory, Two dimensional, Transients, Heat, Theses
Subject Categories : Numerical Mathematics
Thermodynamics
Distribution Statement : APPROVED FOR PUBLIC RELEASE