ISSN Online: 2377-424X
ISBN Print: 1-56032-797-9
International Heat Transfer Conference 11
A GENERALIZED COORDINATES APPROACH FOR THE SOLUTION OF INVERSE HEAT CONDUCTION PROBLEMS
Resumo
In this paper we present a general solution for two-dimensional boundary inverse heat conduction problems, by
using the conjugate gradient method of minimization together
with an elliptic scheme of numerical grid generation. The
direct problem, as well as other auxiliary problems required for the solution of the inverse problem with the conjugate gradient method, are formulated in terms of generalized coordinates in a computational domain, where they are solved by finite-differences over a rectangular region. The transformation of the irregular region of interest in the physical domain into a rectangle in the computational domain, provides geometrical flexibility to the present approach, so that boundary inverse problems involving different geometries can be treated with a
single formulation. Simulated measurements are used to
illustrate the application of the present approach to the solution of an inverse problem of practical engineering interest.