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 WRIGHT-PATTERSON 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 over-relaxation 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