Published 18 issues per year
ISSN Print: 1064-2285
ISSN Online: 2162-6561
Indexed in
A NUMERICAL STRATEGY OF IDENTIFYING THE SHAPE OF A TWO-DIMENSIONAL THERMAL BOUNDARY WITH KNOWN TEMPERATURE
ABSTRACT
A numerical strategy of combining a conjugate gradient method with a finite volume method is developed to identify the shape of a two-dimensional thermal boundary with known temperature. The finite volume method is utilized to discretize the governing equations and the domain extension method is used to deal with an irregular computational domain. The numerical algorithm is verified with different inverse problems. The results show that the inverse solution is validated for constant thermal conductivity condition. The effects of the magnitude of thermal conductivity, the initial guess shape, and the number of measuring points are investigated to reveal the accuracy of the inversion values. Further, validity of the strategy is discussed for the case with nonconstant thermal conductivities.